GREATER BAY BANCORP
S-4, 1998-09-30
NATIONAL COMMERCIAL BANKS
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<PAGE>
 
  AS FILED WITH THE SECURITIES AND EXCHANGE COMMISSION ON SEPTEMBER 30, 1998
                                                      REGISTRATION NO.: 333-
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
                      SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C. 20549
                                --------------
                                   FORM S-4
                            REGISTRATION STATEMENT
                                     UNDER
                          THE SECURITIES ACT OF 1933
                                --------------
          GREATER BAY BANCORP                      GBB CAPITAL II
(EXACT NAME OF REGISTRANT AS SPECIFIED     (EXACT NAME OF CO-REGISTRANT AS
            IN ITS CHARTER)                   SPECIFIED IN ITS CHARTER)
              CALIFORNIA                              DELAWARE
    (STATE OR OTHER JURISDICTION OF        (STATE OR OTHER JURISDICTION OF
    INCORPORATION OR ORGANIZATION)         INCORPORATION OR ORGANIZATION)
              77-0387041                             94-6724722
 (I.R.S. EMPLOYER IDENTIFICATION NO.)   (I.R.S. EMPLOYER IDENTIFICATION NO.)
        2860 WEST BAYSHORE ROAD                2860 WEST BAYSHORE ROAD
      PALO ALTO, CALIFORNIA 94303            PALO ALTO, CALIFORNIA 94303
            (650) 813-8200                         (650) 813-8200
   (ADDRESS INCLUDING ZIP CODE, AND       (ADDRESS, INCLUDING ZIP CODE, AND
           TELEPHONE NUMBER,                      TELEPHONE NUMBER,
 INCLUDING AREA CODE, OF REGISTRANT'S        INCLUDING AREA CODE, OF CO-
      PRINCIPAL EXECUTIVE OFFICE)         REGISTRANT'S PRINCIPAL EXECUTIVE
                                                       OFFICE)
                                --------------
                             DAVID L. KALKBRENNER
                            CHIEF EXECUTIVE OFFICER
                              GREATER BAY BANCORP
                            2860 WEST BAYSHORE ROAD
                          PALO ALTO, CALIFORNIA 94303
                                (650) 813-8200
(NAME, ADDRESS, INCLUDING ZIP CODE, AND TELEPHONE NUMBER, INCLUDING AREA CODE,
                             OF AGENT FOR SERVICE)
                                --------------
                                   COPY TO:
                              T. HALE BOGGS, ESQ.
                        MANATT, PHELPS & PHILLIPS, LLP
                                70 WILLOW ROAD
                             MENLO PARK, CA 94025
                           TELEPHONE: (650) 566-3500
                                --------------
  APPROXIMATE DATE OF COMMENCEMENT OF PROPOSED SALE TO PUBLIC: As soon as
practicable after this Registration Statement becomes effective.
                                --------------
  If the securities being registered on this Form are being offered in
connection with the formation of a holding company and there is compliance
with General Instruction G, check the following box: [_]
  If this Form is filed to register additional securities for an offering
pursuant to Rule 462(b) under the Securities Act, check the following box and
list the Securities Act registration statement number of the earlier effective
registration statement for the same offering. [_]
  If this Form is a post-effective amendment filed pursuant to Rule 462(d)
under the Securities Act, check the following box and list the Securities Act
registration statement number of the earlier effective registration statement
for the same offering. [_]
                        CALCULATION OF REGISTRATION FEE
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                           PROPOSED
                                            PROPOSED       MAXIMUM
 TITLE OF EACH CLASS OF                     MAXIMUM       AGGREGATE      AMOUNT OF
    SECURITIES TO BE       AMOUNT TO BE  OFFERING PRICE    OFFERING     REGISTRATION
       REGISTERED           REGISTERED    PER UNIT(1)      PRICE(1)         FEE
- ------------------------------------------------------------------------------------
<S>                       <C>            <C>            <C>            <C>
Exchange Capital
 Securities of GBB
 Capital II.............      30,000         $1,000      $30,000,000       $8,850
- ------------------------------------------------------------------------------------
Exchange Junior
 Subordinated Deferrable
 Interest Debentures of
 Greater Bay
 Bancorp(2).............        --             --             --             --
- ------------------------------------------------------------------------------------
Greater Bay Bancorp
 Exchange Guarantee with
 respect to Exchange
 Capital Securities(2)..        --             --             --             --
- ------------------------------------------------------------------------------------
Total(3)................      30,000         $1,000     $30,000,000(4)     $8,850
- ------------------------------------------------------------------------------------
</TABLE>
- -------------------------------------------------------------------------------
(1) Estimated solely for the purpose of determining the registration fee.
(2) No separate consideration will be received for the Exchange Junior
    Subordinated Debentures of Greater Bay Bancorp distributed upon any
    liquidation of GBB Capital II, and no separate consideration will be
    received for the Greater Bay Bancorp Exchange Guarantee.
(3) This Registration Statement is deemed to cover rights of holders of
    Exchange Junior Subordinated Debentures under the Indenture, the rights of
    holders of Exchange Capital Securities under an Amended and Restated Trust
    Agreement, and the rights of holders of such Exchange Capital Securities
    under the Exchange Guarantee and certain backup undertakings as described
    herein.
(4) Such amount represents the liquidation amount of the Capital Securities to
    be exchanged hereunder and the principal amount of Exchange Junior
    Subordinated Debentures that may be distributed to holders of such Capital
    Securities upon any liquidation of GBB Capital II.
                                --------------
  THE REGISTRANTS HEREBY AMEND THIS REGISTRATION STATEMENT ON SUCH DATE OR
DATES AS MAY BE NECESSARY TO DELAY ITS EFFECTIVE DATE UNTIL THE REGISTRANTS
SHALL FILE A FURTHER AMENDMENT WHICH SPECIFICALLY STATES THAT THIS
REGISTRATION STATEMENT SHALL THEREAFTER BECOME EFFECTIVE IN ACCORDANCE WITH
SECTION8(A) OF THE SECURITIES ACT OF 1933 OR UNTIL THE REGISTRATION STATEMENT
SHALL BECOME EFFECTIVE ON SUCH DATE AS THE COMMISSION, ACTING PURSUANT TO SAID
SECTION 8(A), MAY DETERMINE.
 
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
<PAGE>
 
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+INFORMATION CONTAINED HEREIN IS SUBJECT TO COMPLETION OR AMENDMENT. A         +
+REGISTRATION STATEMENT RELATING TO THESE SECURITIES HAS BEEN FILED WITH THE   +
+SECURITIES AND EXCHANGE COMMISSION. THESE SECURITIES MAY NOT BE SOLD NOR MAY  +
+OFFERS TO BUY BE ACCEPTED PRIOR TO THE TIME THE REGISTRATION STATEMENT        +
+BECOMES EFFECTIVE. THIS PROSPECTUS SHALL NOT CONSTITUTE AN OFFER TO SELL OR   +
+THE SOLICITATION OF AN OFFER TO BUY NOR SHALL THERE BE ANY SALE OF THESE      +
+SECURITIES IN ANY STATE IN WHICH SUCH OFFER, SOLICITATION OR SALE WOULD BE    +
+UNLAWFUL PRIOR TO REGISTRATION OR QUALIFICATION UNDER THE SECURITIES LAWS OF  +
+ANY SUCH STATE.                                                               +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
                    SUBJECT TO COMPLETION, DATED      , 1998
 
PROSPECTUS                                                PRELIMINARY PROSPECTUS
                                                               DATED      , 1998
 
                                     [LOGO]
 
                                 GBB CAPITAL II
                             Offer to Exchange Its
 
                   Floating Rate Capital Securities, Series B
           (Liquidation Amount $1,000 Per Exchange Capital Security)
          Which Have Been Registered Under The Securities Act of 1933
                       For Any and All Of Its Outstanding
                   Floating Rate Capital Securities, Series A
 
           (Liquidation Amount $1,000 Per Original Capital Security)
         Fully And Unconditionally Guaranteed, as Described Herein, By
 
                              GREATER BAY BANCORP
 
            THE EXCHANGE OFFER AND WITHDRAWAL RIGHTS WILL EXPIRE AT
             5:00 P.M.,      TIME ON      , 1998, UNLESS EXTENDED.
 
  GBB Capital II, a trust formed under the laws of the state of Delaware (the
"Trust" or "GBB Capital II"), hereby offers, upon the terms and subject to the
conditions set forth in this prospectus (as the same may be amended or
supplemented from time to time, the "Prospectus") and in the accompanying
Letter of Transmittal (which together constitute the "Exchange Offer"), to
exchange up to and including $30,000,000 aggregate Liquidation Amount of its
Floating Rate Capital Securities, Series B (the "Exchange Capital Securities"),
which have been registered under the Securities Act of 1933, as amended (the
"Securities Act"), pursuant to a Registration Statement of which this
Prospectus constitutes a part, for a like Liquidation Amount of its outstanding
Floating Rate Capital Securities, Series A (the "Original Capital Securities"),
of which $30,000,000 aggregate Liquidation Amount are issued and outstanding.
 
  This Prospectus and the Letter of Transmittal are first being mailed to all
holders of Original Capital Securities on or about      , 1998.
 
                                                        (Continued on next page)
 
  SEE "RISK FACTORS" BEGINNING ON PAGE    FOR CERTAIN INFORMATION THAT SHOULD
    BE CONSIDERED BY HOLDERS IN DECIDING WHETHER TO TENDER
               ORIGINAL CAPITAL SECURITIES IN THE EXCHANGE OFFER.
 
 THE  SECURITIES OFFERED  HEREBY ARE NOT  DEPOSITS OR OTHER  OBLIGATIONS OF  A
   BANK AND ARE NOT INSURED BY THE FEDERAL DEPOSIT INSURANCE
                 CORPORATION OR ANY OTHER GOVERNMENTAL AGENCY.
 
 THESE SECURITIES HAVE NOT BEEN APPROVED  OR DISAPPROVED BY THE SECURITIES AND
  EXCHANGE  COMMISSION  OR  ANY  STATE  SECURITIES  COMMISSION  NOR  HAS  THE
   SECURITIES  AND EXCHANGE  COMMISSION OR  ANY STATE SECURITIES  COMMISSION
    PASSED   UPON  THE  ACCURACY  OR  ADEQUACY  OF  THIS   PROSPECTUS.  ANY
      REPRESENTATION
                     TO THE CONTRARY IS A CRIMINAL OFFENSE.
 
                  The date of this Prospectus is      , 1998.
<PAGE>
 
(Continued from previous page)
 
  Pursuant to the Exchange Offer, Greater Bay Bancorp, a California
corporation (the "Company" or "Greater Bay"), is also offering to exchange (i)
its guarantee (the "Exchange Guarantee") of payments of cash distributions and
payments on liquidation of the Trust or redemption of the Exchange Capital
Securities for a like guarantee (the "Original Guarantee") in respect of the
Original Capital Securities and (ii) $30,000,000 aggregate principal amount of
its Floating Rate Junior Subordinated Deferrable Interest Debentures, Series B
due September 15, 2028 (the "Exchange Junior Subordinated Debentures") for a
like aggregate principal amount of its Floating Rate Junior Subordinated
Deferrable Interest Debentures, Series A due September 15, 2028 (the "Original
Junior Subordinated Debentures"). The Exchange Guarantee and Exchange Junior
Subordinated Debentures also have been registered under the Securities Act.
The Original Capital Securities, the Original Guarantee and the Original
Junior Subordinated Debentures are collectively referred to herein as the
"Original Securities;" the Exchange Capital Securities, the Exchange Guarantee
and the Exchange Junior Subordinated Debentures are collectively referred to
herein as the "Exchange Securities;" the Original Capital Securities and the
Exchange Capital Securities are collectively referred to herein as the
"Capital Securities;" the Original Guarantee and the Exchange Guarantee are
collectively referred to herein as the "Guarantees;" and the Original Junior
Subordinated Debentures and the Exchange Junior Subordinated Debentures are
collectively referred to herein as the "Junior Subordinated Debentures."
 
  The terms of the Exchange Securities are identical in all material respects
to the respective terms of the Original Securities, except that (i) the
Exchange Securities have been registered under the Securities Act and
therefore will not be subject to certain restrictions on transfer applicable
to the Original Securities, (ii) the Exchange Capital Securities will not
provide for any increase in the Distribution Rate (as defined herein) thereon,
and (iii) the Exchange Junior Subordinated Debentures will not provide for any
Liquidated Damages, (as defined herein), thereon. See "Description of Exchange
Securities" and "Description of Original Securities." Accordingly, except as
otherwise expressly provided herein, description of the terms of the Exchange
Securities and the rights of the holders thereof will apply to the Original
Securities and the right of the holders thereof.
 
  The Exchange Capital Securities are being offered for exchange in order to
satisfy certain obligations of Greater Bay and the Trust under the
Registration Rights Agreement dated August 7, 1998 (the "Registration Rights
Agreement") among Greater Bay, the Trust and Sandler O'Neill & Partners, L.P.
(the "Initial Purchaser"). In the event that the Exchange Offer is
consummated, any Original Capital Securities that remain outstanding after
consummation of the Exchange Offer and the Exchange Capital Securities issued
in the Exchange Offer will vote together as a single class for purposes of
determining whether holders of the requisite percentage in outstanding
Liquidation Amount thereof have taken certain actions or exercised certain
rights under the Trust Agreement (as defined herein).
 
  The Capital Securities represent beneficial interests in the assets of the
Trust. Greater Bay is the owner of all of the beneficial interests represented
by common securities of the Trust (the "Common Securities," and together with
the Capital Securities, the "Trust Securities"). Wilmington Trust Company is
the Property Trustee (the "Property Trustee") of the Trust. The Trust exists
for the sole purpose of issuing the Trust Securities and investing the
proceeds thereof in the Junior Subordinated Debentures. The Exchange Junior
Subordinated Debentures will mature on September 15, 2028 (the "Stated
Maturity Date"). The Exchange Capital Securities will have a preference over
the Common Securities under certain circumstances with respect to cash
distributions and amounts payable on liquidation, redemption or otherwise. See
"Description of Exchange Securities--Description of Exchange Capital
Securities--Subordination of Common Securities."
 
  As used herein, (i) the "Indenture" means the Indenture, dated as of August
12, 1998, as amended and supplemented from time to time, between Greater Bay
and Wilmington Trust Company, as trustee (the "Debenture Trustee"), relating
to the Exchange Junior Subordinated Debentures, (ii) the "Trust Agreement"
means the Amended and Restated Trust Agreement relating to the Trust among
Greater Bay, as Sponsor, Wilmington Trust Company, as Property Trustee,
Wilmington Trust Company, as Delaware Trustee (the "Delaware Trustee"), and
the Administrative Trustees named therein (collectively, with the Property
Trustee
 
                                       2
<PAGE>
 
and Delaware Trustee, the "Issuer Trustees") and (iii) the "Common Guarantee"
means the Common Securities Guarantee Agreement relating to the Common
Securities by Greater Bay.
 
  Holders of the Trust Securities will be entitled to receive cumulative cash
distributions ("Distributions") arising from the payment of interest on the
Original Junior Subordinated Debentures (to the extent that such Original
Junior Subordinated Debentures have not been exchanged for Exchange Junior
Subordinated Debentures), and on the Exchange Junior Subordinated Debentures
(to the extent that the Original Junior Subordinated Debentures have been
exchanged for Exchange Junior Subordinated Debentures), accumulating from
August 12, 1998, and payable quarterly in arrears on March 15, June 15,
September 15 and December 15 of each year, commencing December 15, 1998, at a
rate per annum, reset quarterly, equal to 3-month LIBOR (as defined below)
plus 150 basis points ("Distribution Rate"). The amount of each Distribution
with respect to Trust Securities will include amounts accrued to, but
excluding the date the Distribution is due. So long as no Debenture Event of
Default (as defined herein) has occurred and is continuing, Greater Bay has
the right to defer payments of interest on the Exchange Junior Subordinated
Debentures for a period not exceeding 20 consecutive quarterly periods with
respect to each deferral period (each, an "Extension Period"), provided that
an Extension Period must end on an Interest Payment Date (as defined herein)
and may not extend beyond the Stated Maturity Date.
 
  Upon the termination of any such Extension Period and the payment of all
amounts then due, Greater Bay may elect to begin a new Extension Period,
subject to the requirements set forth herein. If and for so long as interest
payments on the Exchange Junior Subordinated Debentures are so deferred,
Distributions on the Trust Securities also will be deferred, and Greater Bay
will not be permitted, subject to certain exceptions described herein, to
declare or pay any cash distributions with respect to Greater Bay's capital
stock or to make any payment with respect to debt securities of Greater Bay
that rank pari passu with or junior to the Exchange Junior Subordinated
Debentures. During an Extension Period, interest on the Exchange Junior
Subordinated Debentures will continue to accrue (and the amount of
Distributions to which holders of the Trust Securities are entitled will
continue to accumulate) at the applicable periodic Distribution Rate,
compounded quarterly from the relevant payment date for such interest, and
holders of Trust Securities will be required to include deferred interest
income in their gross income for federal income tax purposes prior to the
receipt of the cash attributable to such income. See "Description of Exchange
Securities--Description of Exchange Capital Securities--Option to Extend
Interest Payment Date--Description of Exchange Junior Subordinated
Debentures--Option to Extend Interest Payment Date" and "Certain Federal
Income Tax Consequences--Interest Income and Original Issue Discount."
 
  Greater Bay has, through the Guarantees, the Common Guarantee, the Trust
Agreement, the Junior Subordinated Debentures and the Indenture guaranteed all
of the Trust's obligations under the Trust Securities. See "Relationship Among
the Exchange Capital Securities, the Exchange Junior Subordinated Debentures
and the Exchange Guarantee--Full and Unconditional Guarantee." The Exchange
Guarantee and the Common Guarantee will guarantee payments of Distributions
and payments upon liquidation of the Trust or redemption of the Trust
Securities, but in each case only to the extent that the Trust has funds
legally available therefor and has failed to make such payments, as described
herein. See "Description of Exchange Securities--Description of Exchange
Guarantee." If Greater Bay fails to make a required payment on the Exchange
Junior Subordinated Debentures, the Trust will not have sufficient funds to
make the related payments, including Distributions, on the Trust Securities.
The Exchange Guarantee and the Common Guarantee will not cover any such
payment when the Trust does not have sufficient funds legally available
therefor. In such event, a holder of Exchange Capital Securities may institute
a legal proceeding directly against Greater Bay to enforce its rights in
respect of such payment. See "Description of Exchange Securities--Description
of Exchange Junior Subordinated Debentures--Enforcement of Certain Rights by
Holders of Exchange Capital Securities." The obligations of Greater Bay under
the Exchange Guarantee, the Common Guarantee, and the Exchange Junior
Subordinated Debentures will be unsecured and will rank subordinate and junior
in right of payment to all Senior Indebtedness (as defined in "Description of
Exchange Securities--Description of Exchange Junior Subordinated Debentures--
Subordination"). See "Risk Factors--Ranking of Subordinated Obligations under
the Exchange Guarantee and the Exchange Junior Subordinated Debentures;
Limitation on Source of Funds."
 
                                       3
<PAGE>
 
  The Trust Securities will be subject to mandatory redemption in a Like
Amount (as defined herein), (i) in whole but not in part, on the Stated
Maturity Date upon repayment of the Exchange Junior Subordinated Debentures,
(ii) in whole but not in part, at any time prior to September 15, 2008 (the
"Initial Optional Redemption Date"), contemporaneously with the optional
prepayment of the Exchange Junior Subordinated Debentures by Greater Bay, upon
the occurrence and continuation of a Special Event (as defined herein), and
(iii) in whole or in part, on or after the Initial Optional Redemption Date,
contemporaneously with the optional prepayment by Greater Bay of all or part
of the Exchange Junior Subordinated Debentures, in each case at a redemption
price equal to 100% of the corresponding principal amount of the Exchange
Junior Subordinated Debentures so repaid or prepaid, as the case may be, plus
accrued and unpaid interest thereon and additional Distributions (as defined
herein), if any, to the date of redemption (the "Redemption Price"). See
"Description of Exchange Securities--Description of Exchange Capital
Securities--Redemption."
 
  Subject to Greater Bay having received any required regulatory approvals,
the Exchange Junior Subordinated Debentures will be prepayable prior to the
Stated Maturity Date at the option of Greater Bay (i) on or after the Initial
Optional Redemption Date, in whole or in part, or (ii) at any time prior to
the Initial Optional Redemption Date, in whole but not in part, upon the
occurrence and continuation of a Special Event, in either case at a prepayment
price equal to 100% of the principal amount of Exchange Junior Subordinated
Debentures so prepaid plus accrued and unpaid interest thereon and Liquidated
Damages (as defined herein), if any, to the date of prepayment (the
"Prepayment Price"). See "Description of Exchange Securities--Description of
Exchange Junior Subordinated Debentures--Optional Prepayment" and "--Special
Event Prepayment."
 
  Greater Bay has the right at any time to terminate the Trust and, after
satisfaction of liabilities of creditors of the Trust as required by
applicable law, to cause a Like Amount of the Exchange Junior Subordinated
Debentures to be distributed to the holders of the Trust Securities in
liquidation of the Trust, subject to (i) the Administrative Trustees having
received an opinion of counsel to the effect that such distribution will not
cause the holders of Exchange Capital Securities to recognize gain or loss for
federal income tax purposes and (ii) the receipt by Greater Bay of any
required regulatory approvals. Unless the Exchange Junior Subordinated
Debentures are distributed to the holders of the Trust Securities, in the
event of a liquidation of the Trust as described herein, after satisfaction of
liabilities to creditors of the Trust as required by applicable law, the
holders of the Trust Securities generally will be entitled to receive a
Liquidation Amount of $1,000 per Trust Security plus accumulated and unpaid
Distributions thereon to the date of payment. See "Description of Exchange
Securities--Description of Exchange Capital Securities--Liquidation of the
Trust and Distribution of Exchange Junior Subordinated Debentures."
 
  THE CAPITAL SECURITIES, INCLUDING THE EXCHANGE CAPITAL SECURITIES, MAY BE
TRANSFERRED ONLY IN A BLOCK HAVING A LIQUIDATION AMOUNT OF NOT LESS THAN
$100,000 (100 CAPITAL SECURITIES). ANY TRANSFER OF EXCHANGE CAPITAL SECURITIES
IN A BLOCK HAVING A LIQUIDATION AMOUNT OF LESS THAN $100,000 SHALL BE DEEMED
TO BE VOID AND OF NO LEGAL EFFECT WHATSOEVER. ANY SUCH TRANSFEREE SHALL BE
DEEMED NOT TO BE THE HOLDER OF SUCH EXCHANGE CAPITAL SECURITIES FOR ANY
PURPOSE, INCLUDING BUT NOT LIMITED TO THE RECEIPT OF DISTRIBUTIONS ON SUCH
EXCHANGE CAPITAL SECURITIES, AND SUCH TRANSFEREE SHALL BE DEEMED TO HAVE NO
INTEREST WHATSOEVER IN SUCH EXCHANGE CAPITAL SECURITIES.
 
                               ----------------
 
  The Trust is making the Exchange Offer of the Exchange Capital Securities in
reliance on the position of the staff of the Division of Corporation Finance
(the "Staff") of the Securities and Exchange Commission (the "Commission") as
set forth in certain interpretive letters addressed to third parties in other
transactions. However, neither Greater Bay nor the Trust has sought its own
interpretive letter and there can be no assurance that the Staff of the
Commission would make a similar determination with respect to the Exchange
Offer as it
 
                                       4
<PAGE>
 
has in such interpretive letters to third parties. Based on these
interpretations by the Staff of the Commission, and subject to the two
immediately following sentences, Greater Bay and the Trust believe that
Exchange Capital Securities issued pursuant to this Exchange Offer in exchange
for Original Capital Securities may be offered for resale, resold and
otherwise transferred by a holder thereof (other than a holder who is a
broker-dealer) without further compliance with the registration and prospectus
delivery requirements of the Securities Act, provided that such Exchange
Capital Securities are acquired in the ordinary course of such holder's
business and that such holder is not participating, and has no arrangement or
understanding with any person to participate, in a distribution (within the
meaning of the Securities Act) of such Exchange Capital Securities. However,
any holder of Original Capital Securities who is an "affiliate" of Greater Bay
or the Trust or who intends to participate in the Exchange Offer for the
purpose of distributing Exchange Capital Securities, or any broker-dealer who
purchased Original Capital Securities from the Trust to resell pursuant to
Rule 144A under the Securities Act ("Rule 144A") or any other available
exemption under the Securities Act, (i) will not be able to rely on the
interpretations of the Staff of the Commission set forth in the above-
mentioned interpretive letters, (ii) will not be permitted or entitled to
tender such Original Capital Securities in the Exchange Offer and (iii) must
comply with the registration and prospectus delivery requirements of the
Securities Act in connection with any sale or other transfer of such Original
Capital Securities unless such sale is made pursuant to an exemption from such
requirements. In addition, as described herein, if any broker-dealer holds
Original Capital Securities acquired for its own account as a result of
market-making or other trading activities and exchanges such Original Capital
Securities for Exchange Capital Securities, then such broker-dealer must
deliver a prospectus meeting the requirements of the Securities Act in
connection with any resales of such Exchange Capital Securities.
 
  Each holder of Original Capital Securities who wishes to exchange Original
Capital Securities for Exchange Capital Securities in the Exchange Offer will
be required to represent that (i) it is not an "affiliate" of Greater Bay or
the Trust, (ii) any Exchange Capital Securities to be received by it are being
acquired in the ordinary course of its business, (iii) it has no arrangement
or understanding with any person to participate in a distribution (within the
meaning of the Securities Act) of such Exchange Capital Securities, and (iv)
if such holder is not a broker-dealer, such holder is not engaged in, and does
not intend to engage in, a distribution (within the meaning of the Securities
Act) of such Exchange Capital Securities. In addition, Greater Bay and the
Trust may require such holder, as a condition to such holder's eligibility to
participate in the Exchange Offer, to furnish to Greater Bay and the Trust (or
an agent thereof) in writing information as to the number of "beneficial
owners" (within the meaning of Rule 13d-3 under the Securities Exchange Act of
1934, as amended (the "Exchange Act")), on behalf of whom such holder holds
the Original Capital Securities to be exchanged in the Exchange Offer. Each
broker-dealer that receives Exchange Capital Securities for its own account
pursuant to the Exchange Offer must acknowledge that it acquired the Original
Capital Securities for its own account as the result of market-making
activities or other trading activities and must agree that it will deliver a
prospectus meeting the requirements of the Securities Act in connection with
any resale of such Exchange Capital Securities. The Letter of Transmittal
states that by so acknowledging and by delivering a prospectus, a broker-
dealer will not be deemed to admit that it is an "underwriter" within the
meaning of the Securities Act. Based on the position taken by the Staff of the
Commission in the interpretive letters referred to above, Greater Bay and the
Trust believe that broker-dealers who acquired Original Capital Securities for
their own accounts, as a result of market-making activities or other trading
activities ("Participating Broker-Dealers"), may fulfill their prospectus
delivery requirements with respect to the Exchange Capital Securities received
upon exchange of such Original Capital Securities (other than Original Capital
Securities which represent an unsold allotment from the initial sale of the
Original Capital Securities) with a prospectus meeting the requirements of the
Securities Act, which may be the prospectus prepared for an exchange offer so
long as it contains a description of the plan of distribution with respect to
the resale of such Exchange Capital Securities. Each broker-dealer that
receives Exchange Capital Securities for its own account pursuant to the
Exchange Offer must acknowledge that it will deliver a prospectus in
connection with any resale of such Exchange Capital Securities. The Letter of
Transmittal states that by so acknowledging and by delivering a prospectus, a
broker-dealer will not be deemed to admit that it is an "underwriter" within
the meaning of the Securities Act. This Prospectus, as it may be amended or
supplemented from time to time, may be used by a broker-dealer in connection
with resales of Exchange Capital Securities received in exchange for Original
Capital Securities acquired by such broker-dealer as a result of market-making
activities or other
 
                                       5
<PAGE>
 
trading activities. The Trust and Greater Bay have agreed that, ending on the
close of business on the 90th day following the Expiration Date, it will make
this Prospectus available to any broker-dealer for use in connection with any
such resale. See "Plan of Distribution." However, a Participating Broker-
Dealer who intends to use this Prospectus in connection with the resale of
Exchange Capital Securities received in exchange for Original Capital
Securities pursuant to the Exchange Offer must notify Greater Bay or the
Trust, or cause Greater Bay or the Trust to be notified, on or prior to the
Expiration Date, that it is a Participating Broker-Dealer. Such notice may be
given in the space provided for that purpose in the Letter of Transmittal or
may be delivered to Wilmington Trust Company (the "Exchange Agent") at the
address set forth herein under "The Exchange Offer--Exchange Agent." Any
Participating Broker-Dealer who is an "affiliate" of Greater Bay or the Trust
may not rely on such interpretive letters and must comply with the
registration and prospectus delivery requirements of the Securities Act in
connection with any resale transaction. See "The Exchange Offer--Resales of
Exchange Capital Securities."
 
  In that regard, each Participating Broker-Dealer who surrenders Original
Capital Securities pursuant to the Exchange Offer will be deemed to have
agreed, by execution of the Letter of Transmittal, that upon receipt of notice
from Greater Bay or the Trust of the occurrence of any event or the discovery
of any fact that makes any statement contained or incorporated by reference in
this Prospectus untrue in any material respect or that causes this Prospectus
to omit to state a material fact necessary in order to make the statements
contained or incorporated by reference herein, in light of the circumstances
under which they were made, not misleading or of the occurrence of certain
other events specified in the Registration Rights Agreement, such
Participating Broker-Dealer will suspend the sale of Exchange Capital
Securities (or the Exchange Guarantee or the Exchange Junior Subordinated
Debentures, as applicable) pursuant to this Prospectus until Greater Bay or
the Trust has amended or supplemented this Prospectus to correct such
misstatement or omission and has furnished copies of the amended or
supplemented Prospectus to such Participating Broker-Dealer, or Greater Bay or
the Trust has given notice that the sale of the Exchange Capital Securities
(or the Exchange Guarantee or the Exchange Junior Subordinated Debentures, as
applicable) may be resumed, as the case may be. If Greater Bay or the Trust
gives such notice to suspend the sale of the Exchange Capital Securities (or
the Exchange Guarantee or the Exchange Junior Subordinated Debentures, as
applicable), it shall extend the 90-day period referred to above during which
Participating Broker-Dealers are entitled to use this Prospectus in connection
with the resale of Exchange Capital Securities by the number of days during
the period from and including the date of the giving of such notice to and
including the date when Participating Broker-Dealers shall have received
copies of the amended or supplemented Prospectus necessary to permit resales
of the Exchange Capital Securities or to and including the date on which
Greater Bay or the Trust has given notice that the sale of Exchange Capital
Securities (or the Exchange Guarantee or the Exchange Junior Subordinated
Debentures, as applicable) may be resumed, as the case may be.
 
  Prior to the Exchange Offer, there has been only a limited, if any,
secondary market, and no public market for the Original Capital Securities.
The Exchange Capital Securities will be a new issue of securities for which
there currently is no market. Accordingly, there can be no assurance as to the
development or liquidity of any market for the Exchange Capital Securities.
Greater Bay and the Trust currently do not intend to apply for listing of the
Exchange Capital Securities on any securities exchange or for quotation
through the National Association of Securities Dealers Automated Quotation
System.
 
  Any Original Capital Securities not tendered and accepted in the Exchange
Offer will remain outstanding and will be entitled to all the same rights and
will be subject to the same limitations applicable thereto under the Trust
Agreement (except for those rights which terminate upon consummation of the
Exchange Offer). Following consummation of the Exchange Offer, the holders of
Original Capital Securities will continue to be subject to all of the existing
restrictions upon transfer thereof and neither Greater Bay nor the Trust will
have any further obligation to such holders (other than under certain limited
circumstances) to provide for registration under the Securities Act of the
Original Capital Securities held by them. To the extent that Original Capital
Securities are tendered and accepted in the Exchange Offer, a holder's ability
to sell untendered Original Capital Securities could be adversely affected.
See "Risk Factors--Consequences of a Failure to Exchange Original Capital
Securities."
 
 
                                       6
<PAGE>
 
  THIS PROSPECTUS AND THE RELATED LETTER OF TRANSMITTAL CONTAIN IMPORTANT
INFORMATION. HOLDERS OF ORIGINAL CAPITAL SECURITIES ARE URGED TO READ THIS
PROSPECTUS AND THE RELATED LETTER OF TRANSMITTAL CAREFULLY BEFORE DECIDING
WHETHER TO TENDER THEIR ORIGINAL CAPITAL SECURITIES PURSUANT TO THE EXCHANGE
OFFER.
 
  Original Capital Securities may be tendered for exchange on or prior to 5:00
p.m.,    time, on      , 1998 (such time on such date being hereinafter called
the "Expiration Date"), unless the Exchange Offer is extended by Greater Bay
or the Trust (in which case the term "Expiration Date" shall mean the latest
date and time to which the Exchange Offer is extended). Tenders of Original
Capital Securities may be withdrawn at any time on or prior to the Expiration
Date. The Exchange Offer is not conditioned upon any minimum Liquidation
Amount of Original Capital Securities being tendered for exchange. However,
the Exchange Offer is subject to certain events and conditions which may be
waived by Greater Bay or the Trust and to the terms and provisions of the
Registration Rights Agreement. Original Capital Securities may be tendered in
whole or in part having an aggregate Liquidation Amount of not less than
$100,000 (100 Capital Securities) or any integral multiple of $1,000
Liquidation Amount (one Capital Security) in excess thereof. Greater Bay has
agreed to pay all expenses of the Exchange Offer. See "The Exchange Offer--
Fees and Expenses." Holders of the Exchange Capital Securities will be
entitled to receive cumulative Distributions arising from the payment of
interest on the Exchange Junior Subordinated Debentures, accumulating from
August 12, 1998, and payable quarterly in arrears on each Distribution Date
(as defined herein), commencing on December 15, 1998. The record dates will be
the first day of the month in which the relevant payment occurs. In the event
the Exchange Offer is consummated prior to the first record date, December 1,
1998, each Exchange Capital Security will pay cumulative Distributions from
and after August 12, 1998. However, in the event the Exchange Offer is
consummated after December 1, 1998, Distributions will be paid on the Original
Capital Securities accumulated from and after August 12, 1998, and the
Exchange Capital Securities then will pay Distributions and from and after
December 15, 1998. The amount of each Distribution with respect to Capital
Securities will include amounts accrued to, but excluding the date the
Distribution is due. Because of the foregoing procedures regarding
Distributions, the amount of the Distributions received by holders whose
Original Capital Securities are accepted for exchange will not be affected by
the exchange. This Prospectus, together with the Letter of Transmittal, is
being sent to all registered holders of Exchange Capital Securities as of
     , 1998. See "The Exchange Offer--Distributions on the Exchange Capital
Securities."
 
  Neither Greater Bay nor the Trust will receive any cash proceeds from the
issuance of the Exchange Capital Securities offered hereby. No dealer-manager
is being used in connection with this Exchange Offer. See "Use of Proceeds"
and "Plan of Distribution."
 
                               ----------------
 
                             AVAILABLE INFORMATION
 
  Greater Bay is subject to certain informational requirements pursuant to
Section 13 of the Exchange Act and in accordance therewith, files reports and
other information with the Commission. Such reports and other information may
be inspected and copied at the public reference facilities maintained by the
Commission at Room 1024, 450 Fifth Street, N.W., Washington, D.C. 20549 and at
the Commission's regional offices at 7 World Trade Center, 13th Floor, Suite
1300, New York, New York 10048 and Suite 1400, Citicorp Center, 500 West
Madison Street, Chicago, Illinois 60661. Copies of such material may also be
obtained by mail from the Public Reference Section of the Commission at 450
Fifth Street, N.W., Washington, D.C. 20549 at prescribed rates. If available,
such information also may be accessed through the Commission's electronic data
gathering, analysis and retrieval system ("EDGAR") via electronic means,
including the Commission's home page on the Internet (http://www.sec.gov).
Greater Bay's common stock is quoted on the Nasdaq National Market under the
symbol "GBBK."
 
 
                                       7
<PAGE>
 
  No separate financial statements of the Trust have been included herein.
Greater Bay and the Trust do not consider that such financial statements would
be material to holders of the Exchange Capital Securities because the Trust is
a newly-formed special purpose entity, has no operating history or independent
operations and is not engaged in and does not propose to engage in any
activity other than holding as trust assets the Junior Subordinated
Debentures, issuing the Trust Securities and engaging in incidental
activities. See "GBB Capital II," "Description of Exchange Securities--
Description of Exchange Capital Securities," "Description of Exchange
Securities--Description of Exchange Junior Subordinated Debentures" and
"Description of Exchange Securities--Description of Exchange Guarantee." In
addition, Greater Bay does not expect that the Trust will file reports, proxy
statements and other information under the Exchange Act with the Commission.
 
  This Prospectus constitutes a part of a Registration Statement on Form S-4
(the "Registration Statement") filed by Greater Bay and the Trust with the
Commission under the Securities Act. This Prospectus does not contain all the
information set forth in the Registration Statement, certain parts of which
are omitted in accordance with the rules and regulations of the Commission,
and reference is hereby made to the Registration Statement and to the exhibits
relating thereto for further information with respect to Greater Bay and the
Exchange Securities. Any statements contained herein concerning the provisions
of any document are not necessarily complete, and, in each instance, reference
is made to the copy of such document filed as an exhibit to the Registration
Statement or otherwise filed with the Commission. Each such statement is
qualified in its entirety by such reference.
 
                                       8
<PAGE>
 
              INFORMATION DELIVERED AND INCORPORATED BY REFERENCE
 
  The following documents filed by Greater Bay with the SEC under the Exchange
Act are hereby incorporated in this Prospectus by reference: (i) the Annual
Report on Form 10-K, as amended, of Greater Bay for the year ended December
31, 1997; (ii) Greater Bay's Quarterly Reports on Form 10-Q for the quarters
ended March 31, 1998, and June 30, 1998; and (iii) Greater Bay's Current
Reports on Form 8-K filed on January 7, 1998, as amended, May 20, 1998, July
17, 1998, August 28, 1998 and September 30, 1998.
 
  All documents subsequently filed by Greater Bay pursuant to Section 13(a),
13(c), 14 or 15(d) of the Exchange Act after the date hereof and prior to the
termination of the offering of the Capital Securities offered hereby shall be
deemed to be incorporated by reference into this Offering Memorandum and to be
a part of this Offering Memorandum from the date of filing of such document.
Any statement contained in a document incorporated or deemed to be
incorporated by reference herein shall be deemed to be modified or superseded
for purposes of this Prospectus to the extent that a statement contained
herein or in any other subsequently filed document which also is or is deemed
to be incorporated by reference herein modifies or supersedes such statement.
Any statement so modified or superseded shall not be deemed, except as so
modified or superseded, to constitute a part of this Prospectus.
 
  As used herein, the terms "Prospectus" and "herein" mean this Prospectus,
including the documents incorporated or deemed to be incorporated herein by
reference, as the same may be amended, supplemented or otherwise modified from
time to time. Statements contained in this Prospectus as to the contents of
any contract or other document referred to herein do not purport to be
complete, and where reference is made to the particular provisions of such
contract or other document, such provisions are qualified in all respects by
reference to all of the provisions of such contract or other document.
 
  Greater Bay will provide without charge to any person to whom this
Prospectus is delivered, on the written or oral request of such person, a copy
of any or all of the foregoing documents incorporated by reference herein
(other than exhibits unless such exhibits are specifically incorporated by
reference in such documents). Requests for such documents should be directed
to: Investor Relations Department, Greater Bay Bancorp, 2860 West Bayshore
Road, Palo Alto, California 94303. Greater Bay's telephone number is (650)
813-8200.
 
                          FORWARD LOOKING STATEMENTS
 
  Information contained in this Prospectus contains "forward-looking
statements" which can be identified by the use of forward-looking terminology
such as "believes," "expects," "may," "will," "should," "projected,"
"contemplates" or "anticipates" or the negative thereof or other variations
thereon or comparable terminology. Such forward-looking statements are
inherently uncertain, and no assurance can be given that the future results
covered by the forward-looking statements will be achieved. Factors that may
cause actual results to vary materially from the future results covered by the
forward-looking statements include, but are not limited to, those discussed
under the caption "Risk Factors" as well as those discussed elsewhere herein
or incorporated by reference in this Prospectus. The Statements in "Risk
Factors constitute cautionary statements identifying important factors with
respect to such forward-looking statements, including certain risks and
uncertainties, that could cause actual results to vary materially from the
future results covered in such forward-looking statements. Other factors, such
as the general state of the economy, could also cause actual results to vary
materially from the future results covered in such forward-looking statements.
 
                                       9
<PAGE>
 
                                    SUMMARY
 
  The following summary is qualified in its entirety by the more detailed
information appearing elsewhere in this Prospectus. Reference is made to, and
this summary is qualified in its entirety by, the more detailed information and
financial statements, including the notes thereto, contained elsewhere in this
Prospectus and in documents incorporated by reference hereto.
 
                              GREATER BAY BANCORP
 
  Greater Bay is a bank holding company operating Cupertino National Bank
("CNB"), Mid-Peninsula Bank ("MPB"), Peninsula Bank of Commerce ("PBC") and
Golden Gate Bank ("GGB," together with CNB, MPB and PBC, the "Banks"). The
Banks operate through ten regional offices in Cupertino, Millbrae, Palo Alto,
Redwood City, San Bruno, San Mateo, San Jose and San Francisco, California.
 
  In order to meet the demands of the increasingly competitive banking and
financial services industries, management has adopted a business philosophy
referred to as the "Super Community Banking Philosophy." The Super Community
Banking Philosophy is based on management's belief that banking clients value
doing business with locally managed institutions that can provide a full
service commercial banking relationship through an understanding of the
client's financial needs and the flexibility to customize products and services
to meet those needs. Management further believes that banks are better able to
build successful client relationships by affiliating with a holding company
that provides cost effective administrative support services while promoting
bank autonomy and flexibility.
 
  To implement this philosophy, Greater Bay operates each Bank as a separate
subsidiary by retaining its independent name along with its individual Board of
Directors. The Banks have established strong reputations and client followings
in their respective market areas through attention to client service and an
understanding of client needs. In an effort to capitalize on the identities and
reputations of the Banks, Greater Bay will continue to market its services
under each Bank's name, primarily through each Bank's relationship managers.
The primary focus for the Banks' relationship managers is to cultivate and
nurture their client relationships. Relationship managers are assigned to each
borrowing client to provide continuity in the relationship. This emphasis on
personalized relationships requires that all of the relationship managers
maintain close ties to the communities in which they serve, so they are able to
capitalize on their efforts through expanded business opportunities for the
Banks.
 
  While client service decisions and day-to-day operations are maintained at
the Banks, Greater Bay offers the advantages of affiliation with a multi-bank
holding company by providing improved access to the capital markets and
expanded client support services, such as business cash management,
international trade finance services and accounting services. In addition,
Greater Bay provides centralized administrative functions, including support in
credit policy formulation and review, investment management, data processing,
accounting and other specialized support functions, thereby allowing the Banks
to focus on client service.
 
  The Banks have various operating divisions. These divisions include the
Greater Bay Trust Company, the Venture Banking Group, the Small Business
Administration ("SBA") Department, and the asset-based speciality finance
division, Pacific Business Funding Company ("PBFC"). In addition, consistent
with Greater Bay's operating philosophy and growth strategy, the Company
recently announced that it has formed the Greater Bay Bank Santa Clara Valley
Commercial Banking Group, the Greater Bay Corporate Finance Group, and the
Greater Bay International Banking Division. For a description of the
acquisition of PBFC, see "Recent Developments."
 
  Greater Bay provides a wide range of commercial banking and financial
services to small and medium-sized businesses, real estate developers and
property managers, business executives, professionals and other individuals.
 
                                       10
<PAGE>
 
 
  The Banks offer a variety of deposit products focusing principally on
business clients. These products include personal and business checking and
savings accounts, time deposits and individual retirement accounts. The Banks
also offer an array of specialized services designed to attract and service the
needs of its business and personal clients. These include cash management,
international trade finance services and MasterCard and Visa merchant deposit
services.
 
  The Banks also engage in the full complement of lending activities, including
commercial, real estate and construction loans. The Banks provide commercial
loans for working capital and business expansion to small and medium-sized
businesses with annual revenues generally in the range of $1.0 million to
$100.0 million, with a focus on business clients with borrowing needs between
$2.0 million and $10.0 million. The Banks' commercial clients are drawn from a
wide range of manufacturing, wholesale and service businesses. The Banks
provide interim real estate loans primarily for construction in the Banks'
primary service areas of single-family residences, which typically range
between approximately $500,000 and $1.0 million, and multi-unit projects, which
typically range between approximately $1.5 million and $4.0 million. The Banks
provide medium term commercial real estate loans or credits for the financing
of commercial or industrial buildings, where the properties are either used by
the owner for business purposes or have income derived from tenants, which
typically range between approximately $750,000 and $3.0 million.
 
  The Company's trust division, the Greater Bay Trust Company, provides trust
services to support the trust needs of the Banks' business and personal
clients. These services include, but are not limited to, custodial, investment
management, estate planning resources and employee benefit plan services.
 
  Through the SBA Department, loans are made to small businesses and are
generally 65% to 80% guaranteed by the SBA. In 1994, CNB was named a Preferred
Lender by the SBA. Preferred Lender status is awarded by the SBA to lenders
that have demonstrated superior ability to generate, underwrite and service
loans guaranteed by the SBA, and results in more rapid turnaround of loan
applications submitted to the SBA for approval.
 
  The Venture Banking Group serves the needs of companies in their start-up and
development phase. This unit meets the needs of such clients in Greater Bay's
service area by allowing them to access a banking relationship early in their
development. The initial relationship with these clients is generally focused
on deposit accounts and cash management services, with a lending relationship
developing as the companies mature and have an increasing need for a working
capital line of credit or other bank financing. The loans to this target group
of clients are generally secured by the accounts receivable, inventory and
equipment of the companies. The financial strength of these companies also
tends to be bolstered by the presence of venture capital investors among their
shareholders.
 
  Through PBFC, Greater Bay continues to develop its asset-based lending and
factoring business. In addition, the Greater Bay Bank Santa Clara Valley
Commercial Banking Group and the Greater Bay Corporate Finance Group provide
commercial banking products and specialized corporate finance services to the
Company's clients. The Greater Bay International Banking Division provides a
wide range of financial services to support the international banking needs of
the Banks' clients, including identifying certain risks of conducting business
abroad, providing international letters of credit and trade finance services.
 
  The Company's goal is to become the preeminent financial services company
headquartered in the San Francisco Bay Area. Greater Bay's business strategy is
to focus principally on increasing its market share within the communities it
serves through continued internal growth. The Company also will pursue
opportunities to expand its market share through select acquisitions that
management believes complement Greater Bay's businesses. Management will
consider acquisitions which would expand its presence in its current market
areas of San Francisco, Santa Clara and San Mateo Counties, and pursue
appropriate opportunities to expand its market through acquisitions in other
parts of the Bay Area and elsewhere. Consistent with the Company's operating
philosophy and growth strategy, Greater Bay regularly evaluates opportunities
to acquire banks and other
 
                                       11
<PAGE>
 
financial service companies that complement the Company's existing business,
expand its market coverage and share and enhance its client product offerings.
 
  Greater Bay was incorporated in California in 1984 under the name San Mateo
County Bancorp. Greater Bay's principal offices are located at 2860 West
Bayshore Road, Palo Alto, California 94303 and its telephone number is (650)
813-8200.
 
                                 GBB CAPITAL II
 
  The Trust is a statutory business trust formed under Delaware law pursuant to
(i) the Trust Agreement and (ii) the filing of a Certificate of Trust with the
Delaware Secretary of State on May18, 1998. The Trust's business and affairs
are conducted by the Property Trustee, Delaware Trustee and three individual
Administrative Trustees who are officers of Greater Bay. The Trust exists for
the exclusive purposes of (i) issuing and selling the Trust Securities, (ii)
using the proceeds from the sale of the Trust Securities to acquire the Junior
Subordinated Debentures issued by Greater Bay, and (iii) engaging in only those
other activities necessary, advisable or incidental thereto. The Junior
Subordinated Debentures are the sole assets of GBB Capital II, and payments by
Greater Bay under the Junior Subordinated Debentures are the sole revenues of
GBB Capital II. All of the Common Securities are owned by Greater Bay.
 
                               THE EXCHANGE OFFER
 
The Exchange Offer........  Up to and including $30,000,000 aggregate
                            Liquidation Amount of Exchange Capital Securities
                            are being offered in exchange for a like aggregate
                            Liquidation Amount of Original Capital Securities.
                            Original Capital Securities may be tendered for
                            exchange in whole or in part in a Liquidation
                            Amount of $100,000 (100 Original Capital
                            Securities) or any integral multiple of $1,000 (one
                            Original Capital Security) in excess thereof.
                            Greater Bay and the Trust are making the Exchange
                            Offer in order to satisfy their obligations under
                            the Registration Rights Agreement relating to the
                            Original Capital Securities. For a description of
                            the procedures for tendering Original Capital
                            Securities, see "The Exchange Offer--Procedures for
                            Tendering Original Capital Securities."
 
Expiration Date...........  5:00 p.m., Pacific    time, on     , 1998 unless
                            the Exchange Offer is extended by Greater Bay and
                            the Trust (in which case the Expiration Date will
                            be the latest date and time to which the Exchange
                            Offer is extended). See "The Exchange Offer--Terms
                            of the Exchange Offer."
 
Conditions to the           The Exchange Offer is subject to certain
Exchange Offer............  conditions, which may be waived by Greater Bay and
                            the Trust in their sole discretion. The Exchange
                            Offer is not conditioned upon any minimum
                            Liquidation Amount of Original Capital Securities
                            being tendered. See "The Exchange Offer--Conditions
                            to the Exchange Offer."
 
Terms of the Exchange       Greater Bay and the Trust reserve the right in
Offer.....................  their sole and absolute discretion, subject to
                            applicable law, at any time and from time to time,
                            (i) to delay the acceptance of the Original Capital
                            Securities, (ii) to
 
                                       12
<PAGE>
 
                            terminate the Exchange Offer if certain specified
                            conditions have not been satisfied, (iii) to extend
                            the Expiration Date of the Exchange Offer and
                            retain all Original Capital Securities tendered
                            pursuant to the Exchange Offer, subject, however,
                            to the right of holders of Original Capital
                            Securities to withdraw their tendered Original
                            Capital Securities, or (iv) to waive any condition
                            or otherwise amend the terms of the Exchange Offer
                            in any respect. See "The Exchange Offer--Terms of
                            the Exchange Offer."
 
Withdrawal Rights.........  Tenders of Original Capital Securities may be
                            withdrawn at any time on or prior to the Expiration
                            Date by delivering a written notice of such
                            withdrawal to the Exchange Agent in conformity with
                            certain procedures as set forth herein under "The
                            Exchange Offer--Withdrawal Rights."
 
Procedures for Tendering
Original Capital            Certain brokers, dealers, commercial banks, trust
Securities................  companies and other nominees who hold Original
                            Capital Securities through The Depository Trust
                            Company ("DTC") must effect tenders by book-entry
                            transfer through DTC's Automated Tender Offer
                            Program ("ATOP"). Beneficial owners of Original
                            Capital Securities registered in the name of a
                            broker, dealer, commercial bank, trust company or
                            other nominee are urged to contact such person
                            promptly if they wish to tender Original Capital
                            Securities pursuant to the Exchange Offer.
                            Tendering holders of Original Capital Securities
                            that do not use ATOP must complete and sign a
                            Letter of Transmittal in accordance with the
                            instructions contained therein and forward the same
                            by mail, facsimile transmission or hand delivery,
                            together with any other required documents, to the
                            Exchange Agent, either with the certificates of the
                            Original Capital Securities to be tendered or in
                            compliance with the specified procedures for
                            guaranteed delivery of Original Capital Securities.
                            Tendering holders of Original Capital Securities
                            that use ATOP will, by so doing, acknowledge that
                            they are bound by the terms of the Letter of
                            Transmittal. See "The Exchange Offer--Procedures
                            for Tendering Original Capital Securities."
 
                            Letters of Transmittal and certificates
                            representing Original Capital Securities should not
                            be sent to Greater Bay or Trust. Such documents
                            should only be sent to the Exchange Agent.
 
Resales of Exchange
Capital Securities........  Greater Bay and the Trust are making the Exchange
                            Offer in reliance on the position of the Staff of
                            the Commission as set forth in certain interpretive
                            letters addressed to third parties in other
                            transactions. However, neither Greater Bay nor the
                            Trust has sought its own interpretive letter and
                            there can be no assurance that the Staff of the
                            Commission would make a similar determination with
                            respect to the Exchange Offer as it has in such
                            interpretive letters to third parties. Based on
                            these interpretations by the Staff of the
                            Commission, and subject to the two immediately
                            following sentences, Greater Bay and
 
                                       13
<PAGE>
 
                            the Trust believe that Exchange Capital Securities
                            issued pursuant to this Exchange Offer in exchange
                            for Original Capital Securities may be offered for
                            resale, resold and otherwise transferred by a
                            holder thereof (other than a holder who is a
                            broker-dealer) without further compliance with the
                            registration and prospectus delivery requirements
                            of the Securities Act, provided that such Exchange
                            Capital Securities are acquired in the ordinary
                            course of such holder's business and that such
                            holder is not participating, and has no arrangement
                            or understanding with any person to participate, in
                            a distribution (within the meaning of the
                            Securities Act) of such Exchange Capital
                            Securities. However, any holder of Original Capital
                            Securities who is an "affiliate" of Greater Bay or
                            the Trust or who intends to participate in the
                            Exchange Offer for the purpose of distributing the
                            Exchange Capital Securities, or any broker-dealer
                            who purchased the Original Capital Securities from
                            the Trust to resell pursuant to Rule 144A or any
                            other available exemption under the Securities Act,
                            (i) will not be able to rely on the interpretations
                            of the Staff of the Commission set forth in the
                            above-mentioned interpretive letters, (ii) will not
                            be permitted or entitled to tender such Original
                            Capital Securities in the Exchange Offer and (iii)
                            must comply with the registration and prospectus
                            delivery requirements of the Securities Act in
                            connection with any sale or other transfer of such
                            Original Capital Securities unless such sale is
                            made pursuant to an exemption from such
                            requirements. In addition, as described herein, if
                            any broker-dealer holds Original Capital Securities
                            acquired for its own account as a result of market-
                            making or other trading activities and exchanges
                            such Original Capital Securities for Exchange
                            Capital Securities, then such broker-dealer must
                            deliver a prospectus meeting the requirements of
                            the Securities Act in connection with any resales
                            of such Exchange Capital Securities.
 
                            Each holder of Original Capital Securities who
                            wishes to exchange Original Capital Securities for
                            Exchange Capital Securities in the Exchange Offer
                            will be required to represent that (i) it is not an
                            "affiliate" of Greater Bay or the Trust, (ii) any
                            Exchange Capital Securities to be received by it
                            are being acquired in the ordinary course of its
                            business, (iii) it has no arrangement or
                            understanding with any person to participate in a
                            distribution (within the meaning of the Securities
                            Act) of such Exchange Capital Securities, and (iv)
                            if such holder is not a broker-dealer, such holder
                            is not engaged in, and does not intend to engage
                            in, a distribution (within the meaning of the
                            Securities Act) of such Exchange Capital
                            Securities. Each broker-dealer that receives
                            Exchange Capital Securities for its own account in
                            exchange for Original Capital Securities, where
                            such Original Capital Securities were acquired by
                            such broker-dealer as a result of market-making
                            activities or other trading activities, must
                            acknowledge that it will deliver a prospectus
                            meeting the requirements of the Exchange Act in
                            connection with any resale of such Exchange Capital
                            Securities. See "Plan of Distribution." The Letter
                            of Transmittal states that, by so acknowledging and
                            by delivering a prospectus, a broker-dealer will
                            not be deemed to admit that it is an "underwriter"
                            within the meaning of
 
                                       14
<PAGE>
 
                            the Securities Act. Based on the position taken by
                            the Staff of the Commission in the interpretive
                            letters referred to above, Greater Bay and the
                            Trust believe that Participating Broker-Dealers who
                            acquired Original Capital Securities for their own
                            accounts as a result of market-making activities or
                            other trading activities may fulfill their
                            prospectus delivery requirements with respect to
                            the Exchange Capital Securities received upon
                            exchange of such Original Capital Securities (other
                            than Original Capital Securities that represent an
                            unsold allotment from the initial sale of the
                            Original Capital Securities) with a prospectus
                            meeting the requirements of the Securities Act,
                            which may be the prospectus prepared for an
                            exchange offer so long as it contains a description
                            of the plan of distribution with respect to the
                            resale of such Exchange Capital Securities.
                            Accordingly, this Prospectus, as it may be amended
                            or supplemented from time to time, may be used by a
                            Participating Broker-Dealer in connection with
                            resales of Exchange Capital Securities received in
                            exchange for Original Capital Securities where such
                            Original Capital Securities were acquired by such
                            Participating Broker-Dealer for its own account as
                            a result of market-making or other trading
                            activities. Subject to certain provisions set forth
                            in the Registration Rights Agreement and to the
                            limitations described herein under "The Exchange
                            Offer--Resales of Exchange Capital Securities,"
                            Greater Bay and the Trust have agreed that this
                            Prospectus, as it may be amended or supplemented
                            from time to time, may be used by a Participating
                            Broker-Dealer in connection with resales of such
                            Exchange Capital Securities for a period ending 90
                            days after the Expiration Date (subject to
                            extension under certain limited circumstances) or,
                            if earlier, when all such Exchange Capital
                            Securities have been disposed of by such
                            Participating Broker-Dealer. See "Plan of
                            Distribution." Any Participating Broker-Dealer who
                            is an "affiliate" of Greater Bay or the Trust may
                            not rely on such interpretive letters and must
                            comply with the registration and prospectus
                            delivery requirements of the Securities Act in
                            connection with any resale transaction. See "The
                            Exchange Offer--Resales of Exchange Capital
                            Securities."
 
Exchange Agent............  The Exchange Agent with respect to the Exchange
                            Offer is Wilmington Trust Company. The address, and
                            telephone and facsimile number of the Exchange
                            Agent are set forth in "The Exchange Offer--
                            Exchange Agent" and in the Letter of Transmittal.
 
Use of Proceeds...........  Neither Greater Bay nor the Trust will receive any
                            cash proceeds from the issuance of the Exchange
                            Capital Securities. See "Use of Proceeds."
 
Federal Income Tax          The exchange of Original Capital Securities for
Considerations............  Exchange Capital Securities will not be a taxable
                            exchange for federal income tax purposes, and
                            holders should not recognize any taxable gain or
                            loss or any interest income as a result of such
                            exchange. See "Certain Federal Income Tax
                            Consequences--Exchange of Capital Securities."
 
                                       15
<PAGE>
 
 
ERISA Considerations......  Holders of Original Capital Securities should
                            review the information set forth under "ERISA
                            Considerations" prior to tendering Original Capital
                            Securities in the Exchange Offer.
 
                        THE EXCHANGE CAPITAL SECURITIES
 
Securities Offered........  Up to $30,000,000 aggregate Liquidation Amount of
                            Exchange Capital Securities (Liquidation Amount
                            $1,000 per Exchange Capital Security) will have
                            been registered under the Securities Act. The
                            Exchange Capital Securities will be issued as were
                            the Original Capital Securities under the Trust
                            Agreement. The Exchange Capital Securities and any
                            Original Capital Securities that remain outstanding
                            after consummation of the Exchange Offer will vote
                            together as a single class for purposes of
                            determining whether holders of the requisite
                            percentage in outstanding Liquidation Amount
                            thereof have taken certain actions or exercised
                            certain rights under the Trust Agreement. See
                            "Description of Exchange Securities--Description of
                            Exchange Capital Securities--Voting Rights;
                            Amendment of the Trust Agreement." The terms of the
                            Exchange Capital Securities are identical in all
                            material respects to the terms of the Original
                            Capital Securities, except that the Exchange
                            Capital Securities have been registered under the
                            Securities Act, will not be subject to certain
                            restrictions on transfer applicable to the Original
                            Capital Securities and will not provide for any
                            increase in the Distribution Rate thereon. See "The
                            Exchange Offer--Purpose and Effect of the Exchange
                            Offer," "Description of Exchange Securities" and
                            "Description of Original Securities."
 
Distributions.............  Holders of the Capital Securities will be entitled
                            to receive cumulative Distributions arising from
                            the payment of interest on the Junior Subordinated
                            Debentures, accumulating from August 12, 1998, and
                            payable quarterly in arrears on March 15, June 15,
                            September 15 and December 15 of each year,
                            commencing on December 15, 1998. The record dates
                            will be the first day of the month in which the
                            relevant payment occurs. In the event the Exchange
                            Offer is consummated prior to the first record
                            date, December 1, 1998, each Exchange Capital
                            Security will pay cumulative Distributions from and
                            after August 12, 1998 through December 15, 1998.
                            However, in the event the Exchange Offer is
                            consummated after December 1, 1998, Distributions
                            will be paid on the Original Capital Securities
                            accumulated from and after August 12, 1998, and the
                            Exchange Capital Securities then will pay
                            Distributions and from and after December 15, 1998.
                            The amount of each Distribution with respect to
                            Exchange Capital Securities will include amounts
                            accrued to, but excluding the date the Distribution
                            is due. Because of the foregoing procedures
                            regarding Distributions, the amount of the
                            Distributions received by holders whose Original
                            Capital Securities are accepted for exchange will
                            not be affected by the exchange.
 
Extension Periods.........  So long as no Debenture Event of Default has
                            occurred and is continuing, Distributions on
                            Exchange Capital Securities will be
 
                                       16
<PAGE>
 
                            deferred for the duration of any Extension Period
                            elected by Greater Bay with respect to the payment
                            of interest on the Exchange Junior Subordinated
                            Debentures. No Extension Period will exceed 20
                            consecutive quarterly periods, end on a date other
                            than an Interest Payment Date or extend beyond the
                            Stated Maturity Date. See "Description of Exchange
                            Securities--Description of Exchange Junior
                            Subordinated Debentures--Option to Extend Interest
                            Payment Date" and "Certain Federal Income Tax
                            Consequences--Interest Income and Original Issue
                            Discount."
 
Ranking...................  The Exchange Capital Securities will rank pari
                            passu, and payments thereon will be made pro rata,
                            with the Original Capital Securities and the Common
                            Securities except as described under "Description
                            of Exchange Securities--Description of Exchange
                            Capital Securities--Subordination of Common
                            Securities." The Exchange Junior Subordinated
                            Debentures will rank pari passu with the Original
                            Junior Subordinated Debentures, Greater Bay's 9.75%
                            Junior Subordinated Interest Debentures, maturing
                            on March 31, 2027 (the "1997 Junior Subordinated
                            Debentures"), and all other junior subordinated
                            debentures (if any) issued by Greater Bay (the
                            "Other Debentures"), which are issued and sold (if
                            at all) to other trusts to be established by
                            Greater Bay (if any), in each case similar to the
                            Trust ("Other Trusts"), and will constitute
                            unsecured obligations of Greater Bay and will rank
                            subordinate and junior in right of payment to all
                            Senior Indebtedness to the extent and in the manner
                            set forth in the Indenture. See "Description of
                            Exchange Securities--Description of Exchange Junior
                            Subordinated Debentures." The Exchange Guarantee
                            will rank pari passu with the Original Guarantee,
                            Greater Bay's guarantee issued pursuant to the
                            offering of trust preferred securities of GBB
                            Capital I ("GBB Capital I"), and all other
                            guarantees (if any) issued by Greater Bay with
                            respect to capital securities (if any) issued by
                            Other Trusts ("Other Guarantees") and will
                            constitute an unsecured obligation of Greater Bay
                            and will rank subordinate and junior in right of
                            payment to all Senior Indebtedness to the extent
                            and in the manner set forth in the Guarantee
                            Agreement. See "Description of Exchange
                            Securities--Description of Exchange Guarantee." In
                            addition, because Greater Bay is a holding company,
                            the Exchange Junior Subordinated Debentures and the
                            Exchange Guarantee will be effectively subordinated
                            to all existing and future liabilities of Greater
                            Bay's subsidiaries, including the Bank's deposit
                            liabilities. See "Description of
                            Exchange Securities--Description of Exchange Junior
                            Subordinated Debentures--Subordination."
 
Redemption................  The Trust Securities are subject to mandatory
                            redemption in a Like Amount, (i) in whole but not
                            in part, on the Stated Maturity Date upon repayment
                            of the Exchange Junior Subordinated Debentures,
                            (ii) in whole but not in part, at any time prior to
                            September 15, 2008 (the "Initial Optional
                            Redemption Date"), contemporaneously with the
                            optional prepayment of the Exchange Junior
                            Subordinated Debentures by Greater Bay upon the
                            occurrence and continuation of a Special
 
                                       17
<PAGE>
 
                            Event and (iii) in whole or in part, on or after
                            the Initial Optional Redemption Date,
                            contemporaneously with the optional prepayment by
                            Greater Bay of all or part of the Exchange Junior
                            Subordinated Debentures, in each case at the
                            applicable Redemption Price. See "Description of
                            Exchange Securities--Description of Exchange
                            Capital Securities --Redemption" and "--Description
                            of Exchange Junior Subordinated Debentures--Special
                            Event Prepayment."
 
Transfer Restrictions.....
                            The Exchange Capital Securities will be issued, and
                            may be transferred, only in blocks having a
                            Liquidation Amount of not less than $100,000 (100
                            Exchange Capital Securities). See "Description of
                            Exchange Securities--Description of Exchange
                            Capital Securities--Restrictions on Transfer." Any
                            such transfer of Exchange Capital Securities in a
                            block having a Liquidation Amount of less than
                            $100,000 shall be deemed to be void and of no legal
                            effect whatsoever.
 
ERISA Considerations......  Prospective purchasers must carefully consider the
                            restrictions on purchase set forth under "ERISA
                            Considerations."
 
Absence of Market for the
Exchange Capital            The Exchange Capital Securities will be a new issue
Securities................  of securities for which there currently is no
                            market. Accordingly, there can be no assurance as
                            to the development or liquidity of any market for
                            the Exchange Capital Securities. The Trust and
                            Greater Bay do not intend to apply for listing of
                            the Exchange Capital Securities on any securities
                            exchange or for quotation through the Nasdaq Stock
                            Market, Inc. See "Plan of Distribution."
 
Voting Rights.............
                            The holders of the Exchange Capital Securities will
                            have no voting rights, except in limited
                            circumstances. See "Description of Securities
                            Description of Exchange Capital Securities--Voting
                            Rights; Amendment of the Trust Agreement" and "--
                            Removal of Issuer Trustees."
 
Risk Factors..............  For a discussion of the considerations relevant to
                            an investment in the Capital Securities or the
                            exchange of Original Capital Securities for
                            Exchange Capital Securities, see "Risk Factors."
 
                                       18
<PAGE>
 
 
                      SELECTED CONSOLIDATED FINANCIAL DATA
 
  The selected financial data set forth below for the five-year periods ended
December 31, 1997, 1996, 1995, 1994 and 1993 have been derived from the
consolidated financial statements of Greater Bay, and should be read in
conjunction with Greater Bay's financial statements, including the related
notes thereto and discussion thereof, included in Greater Bay's Current Report
on Form 8-K filed with the SEC on September 30, 1998. The consolidated
financial statements of Greater Bay included in the Current Report on Form 8-K
have been restated on a historical basis to reflect the merger with Pacific Rim
Bancorporation ("PRB"), the former holding company of GGB, which was
consummated on May 8, 1998 on a pooling-of-interests basis. The selected
financial data set forth below for the six-month periods ended June 30, 1998
and 1997 have been derived from the unaudited interim consolidated financial
statements of Greater Bay and include all adjustments, consisting only of
normal recurring accruals, which management considers necessary for a fair
presentation of such financial information for those periods. The results for
these six-month periods are not necessarily indicative of the results which may
be expected for any other interim or annual period. See "Available
Information."
 
  All share and per share information has been adjusted as of each date
presented to reflect the two-for-one stock split to holders of record on April
30, 1998. The following information has been restated on a historical basis to
reflect the mergers with Cupertino National Bancorp, PBC and PRB on a pooling-
of-interests basis.
 
                                       19
<PAGE>
 
 
<TABLE>
<CAPTION>
                             AS OF OR FOR THE
                                SIX MONTHS                            AS OF OR FOR THE
                              ENDED JUNE 30,                      YEAR ENDED DECEMBER 31,
                           -----------------------   ------------------------------------------------------------
                              1998         1997         1997          1996        1995        1994        1993
                           ----------   ----------   ----------     ---------   ---------   ---------   ---------
                                 (DOLLARS IN THOUSANDS, EXCEPT SHARES AND PER SHARE AMOUNTS)
<S>                        <C>          <C>          <C>            <C>         <C>         <C>         <C>
OPERATING DATA
Interest income..........  $   51,387   $   39,191   $   85,399     $  60,713   $  52,090   $  39,832   $  35,365
Interest expense.........      21,310       15,136       32,872        21,701      18,589      11,747      10,313
                           ----------   ----------   ----------     ---------   ---------   ---------   ---------
Net interest income......      30,077       24,055       52,527        39,012      33,501      28,085      25,052
Provision for loan
 losses..................       2,243        2,868        4,043 (1)     2,419       1,160       1,963       2,315
                           ----------   ----------   ----------     ---------   ---------   ---------   ---------
Net interest income after
 provision for loan
 losses..................      27,834       21,187       48,484        36,593      32,341      26,122      22,737
Other income, recurring..       3,039        3,595        5,423         4,658       3,075       4,124       4,138
Operating expenses,
 excluding nonrecurring
 items...................      18,706       14,264       33,099        28,608      25,402      22,563      21,791
                           ----------   ----------   ----------     ---------   ---------   ---------   ---------
Income before income tax
 expense and nonrecurring
 items...................      12,167       10,518       20,808        12,643      10,014       7,683       5,084
Income tax expense.......       4,225        3,849        7,515         4,774       3,669       2,793       1,825
                           ----------   ----------   ----------     ---------   ---------   ---------   ---------
Income before
 nonrecurring items......       7,942        6,669       13,293         7,869       6,345       4,890       3,259
Nonrecurring items, net
 of tax..................       1,314          854        2,282         1,991       1,335         608         --
                           ----------   ----------   ----------     ---------   ---------   ---------   ---------
Net income...............  $    6,628   $    5,815   $   11,011     $   5,878   $   5,010   $   4,282   $   3,259
                           ==========   ==========   ==========     =========   =========   =========   =========
Net income per share
 Basic...................  $     0.73   $     0.65   $     1.24     $    0.69   $    0.62   $    0.57   $    0.45
 Diluted.................        0.67         0.61         1.15          0.64        0.59        0.52        0.41
Dividends per share(2)...        0.19         0.15         0.30          0.22        0.24        0.17        0.11
Average common and common
 equivalent shares
 outstanding.............   9,924,158    9,594,479    9,594,480     9,144,776   8,515,404   8,187,104   8,021,340
OPERATING RATIOS AND
 OTHER DATA
Return on average
 assets(3)...............        1.04 %       1.19 %       1.07 %        0.80%       0.83 %      0.81 %      0.63 %
Return on average common
 shareholders'
 equity(3)...............       17.04 %      16.72 %      14.94 %        9.14%       8.78 %      8.47 %      7.13 %
Net interest margin(4)...        5.00 %       5.33 %       5.45 %        5.81%       6.07 %      5.81 %      5.44 %
Efficiency ratio(5)......       62.90 %      51.58 %      59.45 %       71.90%      75.29 %     71.94 %     74.65 %
Net (charge-offs)
 recoveries to average
 loans...................       (0.21)%      (0.20)%      (0.27)%        0.04%      (0.41)%     (0.32)%     (0.55)%
Ratio of earnings to
 fixed charges(6)........
 Excluding interest on
  deposits...............        3.88x        7.10x        6.71 x        9.47x       6.49 x      8.70 x     10.69 x
 Including interest on
  deposits...............        1.46x        1.52x        1.44x         1.41 x      1.58 x      1.47 x
FINANCIAL CONDITION DATA
 (AT PERIOD END)
Assets...................  $1,470,867   $1,014,314   $1,200,319     $ 909,092   $ 654,176   $ 549,871   $ 513,847
Loans, net...............     786,980      637,306      718,529       553,603     388,504     345,267     335,408
Investment
 securities(7)...........     558,335      299,133      213,127       135,671     141,024     117,738      79,221
Deposits.................   1,284,615      908,533    1,071,148       821,133     584,355     475,047     462,654
Subordinated debt........       3,000        3,000        3,000         3,000       3,000         --          --
Trust Preferred
 Securities..............      20,000       20,000       20,000           --          --          --          --
Common shareholders'
 equity..................      82,333       72,684       76,257        66,726      60,629      52,776      48,280
Book value per common
 share...................        8.96         8.16         8.47          7.65        7.29        6.81        6.56
FINANCIAL CONDITION
 RATIOS
Nonperforming assets to
 total assets............        0.35 %       0.85 %       0.46 %        1.03%       1.48 %      2.24 %      1.94 %
Allowance for loan losses
 to total loans..........        2.19 %       2.09 %       2.18 %        1.77%       1.66 %      1.99 %      1.81 %
Allowance for loan losses
 to non-performing
 assets..................      345.19 %     150.32 %     292.91 %      106.86%      68.33 %     56.38 %     60.86 %
REGULATORY CAPITAL RATIOS
Tier 1 Risk-Based
 Capital.................       10.22 %      12.14 %      10.90 %        9.97%      12.63 %     13.19 %     13.36 %
Total Risk-Based
 Capital.................       11.79 %      13.39 %      12.49 %       11.62%      14.48 %     14.52 %     14.71 %
Leverage.................        7.50 %       9.12 %       8.48 %        7.84%       9.61 %      9.95 %     10.10 %
</TABLE>
 
                                       20
<PAGE>
 
- --------
(1) Does not include $2.4 million of non-recurring charges in 1997 to conform
    accounting practices for the reserve methodologies as part of the 1997
    acquisition of PBC by Greater Bay. Including these charges, the total
    provision for loan losses was $6.4 million.
(2) Includes only those dividends declared by Greater Bay, and excludes those
    dividends paid by Cupertino National Bancorp prior to the 1996 acquisition,
    PBC prior to the 1997 acquisition and PRB prior to the 1998 acquisition of
    GGB. In 1996, Cupertino National Bancorp declared and paid dividends of
    $0.10 to its shareholders. PBC declared annual dividends of $3.20 and $1.35
    per share, in 1997 and 1996, respectively to its shareholders. In 1997, PRB
    declared and paid a cash dividend of $100,000 to its sole shareholder. On a
    consolidated basis, Greater Bay has declared dividends of $0.52 and $0.30
    per share in 1997 and 1996, respectively.
(3) Excluding nonrecurring items, net of tax, of $2.4 million in 1997, $2.0
    million in 1996, $1.3 million in 1995 and $0.6 million in 1994, ROA for
    1997, 1996, 1995 and 1994 would have been 1.29%, 1.07%, 1.06% and 0.61%,
    respectively, and ROE for 1997, 1996, 1995 and 1994 would have been 18.03%,
    12.24%, 11.12% and 6.36%, respectively.
(4) Net interest margin for the six month periods ended June 30, 1998 and 1997
    and for the years ended December 31, 1997 and 1996 includes the lower
    spread earned on the PBC Special Deposit (see Note 7 of the Notes to the
    Consolidated Financial Statements, included in the Current Report on Form
    8-K filed with the SEC on September 29, 1998 and incorporated herein by
    reference, for details). Excluding the PBC Special Deposit, net interest
    margin would have been 5.07% and 5.43% for the six month periods ended
    June 30, 1998 and 1997 and 5.78% and 6.08% for the years ended December 31,
    1997 and 1996, respectively.
(5) The efficiency ratio is computed by dividing total operating expenses by
    the sum of net interest income before provision for loan losses and other
    income. The efficiency ratio excluding non recurring costs for the six
    month periods ended June 30, 1998 and 1997 and for the years ended December
    31, 1997, 1996, 1995, 1994 and 1993 was 55.20%, 58.60%, 55.99%, 65.51%,
    69.45%, 70.05% and 74.65%, respectively.
(6) For purposes of computing the ratio of earnings to fixed charges, earnings
    represent income before income taxes, extraordinary items and fixed
    charges. Fixed charges represent total interest expense, including and
    excluding interest on deposits, as applicable, as well as the interest
    component of rental expense.
(7) Includes available-for-sale securities and held-to-maturity securities.
 
                              RECENT DEVELOPMENTS
 
  On August 31, 1998, Greater Bay consummated its acquisition of PBFC, an
asset-based specialty finance company. The acquisition was structured as a
merger transaction in which Greater Bay acquired PBFC as a wholly owned
subsidiary, in consideration of the issuance of approximately 298,000 shares of
Greater Bay common stock to the shareholders of PBFC. PBFC had total assets of
approximately $17.1 million as of June 30, 1998. The transaction was accounted
for as a pooling-of-interests.
 
  In addition, consistent with the Company's operating philosophy and growth
strategy, the Company recently announced that it has formed the Greater Bay
Bank Santa Clara Valley Commercial Banking Group and established an
International Banking Division.
 
                                       21
<PAGE>
 
                                 RISK FACTORS
 
  Prospective investors should consider carefully, in addition to the other
information contained in this Prospectus, the following factors in connection
with the Exchange Offer and the Exchange Capital Securities offered hereby.
Investors should consider all of these factors to be important.
 
  RANKING OF SUBORDINATED OBLIGATIONS UNDER THE EXCHANGE GUARANTEE AND THE
EXCHANGE JUNIOR SUBORDINATED DEBENTURES; LIMITATIONS ON SOURCE OF FUNDS
 
  The obligations of Greater Bay under the Exchange Guarantee issued by it for
the benefit of the holders of Exchange Capital Securities, as well as under
the Exchange Junior Subordinated Debentures, are unsecured and rank
subordinate and junior in right of payment to all Senior Indebtedness to the
extent and in the manner set forth in the Exchange Guarantee and the
Indenture, respectively. No payment may be made of the principal of, or
interest on the Exchange Junior Subordinated Debentures, or in respect of any
redemption, retirement, purchase or other acquisition of any of the Exchange
Junior Subordinated Debentures, at any time when (i) there shall have occurred
and be continuing a default in any payment in respect of any Senior
Indebtedness, or there has been an acceleration of the maturity thereof
because of a default, or (ii) in the event of the acceleration of the maturity
of the Exchange Junior Subordinated Debentures, until payment has been made on
all Senior Indebtedness to the extent and in the manner set forth in the
Indenture. At June 30, 1998, Greater Bay had $3.0 million of Senior
Indebtedness outstanding.
 
  Greater Bay is a bank holding company regulated by the Board of Governors of
the Federal Reserve System (the "FRB"), and almost all of the operating assets
of Greater Bay are owned by Greater Bay's subsidiaries. Greater Bay relies
primarily on dividends from the Banks to meet its obligations for payment of
principal and interest on its outstanding debt obligations and corporate
expenses. Dividend payments from the Banks are subject to regulatory
limitations, generally based on current and retained earnings, imposed by the
various regulatory agencies with authority over the respective Banks. Payment
of dividends is also subject to regulatory restrictions if such dividends
would impair the capital of the Banks. Payment of dividends by the Banks is
also subject to the respective Bank's profitability, financial condition and
capital expenditures and other cash flow requirements. Bank regulatory
agencies have authority to prohibit the Banks or Greater Bay from engaging in
an unsafe or unsound practice in conducting their business. The payment of
dividends, depending upon the financial condition of the Banks or Greater Bay,
could be deemed to constitute such an unsafe or unsound practice. The FRB has
stated that, as a matter of prudent banking, a bank or bank holding company
should not maintain its existing rate of cash dividends on common stock unless
(i) the organization's net income available to common shareholders over the
past year has been sufficient to fund fully the dividends; and (ii) the
prospective rate of earnings retention appears consistent with the
organization's capital needs, asset quality, and overall financial condition.
No assurance can be given that the Banks will be able to pay dividends at past
levels, or at all, in the future. See the section entitled "Supervision and
Regulation" in Greater Bay's Annual Report on Form 10-K for the year ended
December 31, 1997, which is incorporated herein by reference.
 
  In addition to restrictions on the payment of dividends, the Banks are
subject to certain restrictions imposed by federal law on any extensions of
credit to, and certain other transactions with, Greater Bay and certain other
affiliates, and on investments in stock or other securities thereof. Such
restrictions prevent Greater Bay and such other affiliates from borrowing from
the Banks, unless the loans are secured by various types of collateral.
Furthermore, such secured loans, other transactions and investments by the
Banks are generally limited in amount as to Greater Bay and as to each of such
other affiliate to 10% of each Bank's capital and surplus and as to Greater
Bay and all of such other affiliates to an aggregate of 20% of the each Bank's
capital and surplus. As of June 30, 1998, approximately $11.5 million of
credit was available to Greater Bay under this limitation. During the six
months ended June 30, 1998, the Banks paid $1.6 million in dividends to
Greater Bay, which reflected approximately 9.3% of the total amount of
dividends the Banks were permitted to pay as of June 30, 1998 under existing
supervisory practices.
 
                                      22
<PAGE>
 
  Under the Federal Deposit Insurance Act ("FDIA"), insured depository
institutions such as the Banks are prohibited from making capital
distributions, including the payment of dividends, if, after making any such
distribution, the institution would become "undercapitalized" (as such term is
used in the statute). Based on the Banks' current financial conditions,
Greater Bay does not expect that this provision will have any impact on its
ability to obtain dividends from the Banks.
 
  Further, as a holding company, the right of Greater Bay to participate in
any distribution of assets of any subsidiary upon such subsidiary's
liquidation or reorganization or otherwise (and thus the ability of holders of
the Exchange Capital Securities to benefit indirectly from such distribution)
is subject to the prior claims of creditors of that subsidiary (including
depositors, in the case of the Banks), except to the extent that Greater Bay
may itself be recognized as a creditor of that subsidiary. At June 30, 1998,
the subsidiaries of Greater Bay had aggregate total liabilities, including
deposits, of $1.3 billion. Accordingly, the Exchange Junior Subordinated
Debentures effectively will be subordinated to all existing and future
liabilities of Greater Bay's subsidiaries, including the Banks' deposit
liabilities, and holders of Exchange Junior Subordinated Debentures should
look only to the assets of Greater Bay for payments on the Exchange Junior
Subordinated Debentures. The Exchange Guarantee will constitute an unsecured
obligation of Greater Bay and will rank subordinate and junior in right of
payment to all Senior Indebtedness in the same manner as the Exchange Junior
Subordinated Debentures.
 
  None of the Indenture, the Exchange Guarantee or the Trust Agreement places
any limitation on the amount of secured or unsecured debt, including Senior
Indebtedness, that may be incurred by Greater Bay or any of its subsidiaries.
See "Description of Exchange Securities--Description of Exchange Junior
Subordinated Debentures--General," "--Subordination" and "Description of
Exchange Securities--Description of Exchange Guarantee--Status of the Exchange
Guarantee."
 
  The ability of the Trust to pay amounts due on the Exchange Capital
Securities is solely dependent upon Greater Bay making payments on the
Exchange Junior Subordinated Debentures as and when required.
 
OPTION TO EXTEND INTEREST PAYMENT PERIOD; TAX CONSEQUENCES; MARKET PRICE
CONSEQUENCES
 
  So long as no Debenture Event of Default has occurred and is continuing,
Greater Bay has the right under the Indenture to defer payments of interest on
the Exchange Junior Subordinated Debentures for a period not exceeding 20
consecutive quarterly periods with respect to each Extension Period, provided
that an Extension Period must end on an Interest Payment Date and may not
extend beyond the Stated Maturity Date. As a consequence of any such deferral,
quarterly Distributions on the Trust Securities will be deferred from the
relevant payment date for such Distributions during any such Extension Period,
and the amount of Distributions to which holders of the Trust Securities are
entitled will accumulate additional Distributions thereon at the applicable
Distribution Rate, compounded quarterly, but not exceeding the interest rate
then accruing on the Exchange Junior Subordinated Debentures. The term
"Distribution" as used herein shall include any such additional Distributions.
During an Extension Period, Greater Bay generally will be prohibited from
(i) declaring or paying dividends on Greater Bay's capital stock, (ii) making
any payments of principal, or interest on, or repaying, repurchasing or
redeeming any debt securities ranking pari passu with or junior in right of
payment to the Exchange Junior Subordinated Debentures or (iii) making any
guarantee payments with respect to debt securities of any subsidiary of
Greater Bay if such guarantee ranks pari passu with or junior in right of
payment to the Exchange Junior Subordinated Debentures, subject to certain
exceptions. See "Description of Exchange Securities--Description of Exchange
Capital Securities--Distributions--Option to Extend Interest Payment Date."
 
  Before the end of an Extension Period, Greater Bay may further extend such
Extension Period, provided that such extension does not cause such Extension
Period to exceed 20 consecutive quarterly periods, end on a date other than an
Interest Payment Date or extend beyond the Stated Maturity Date. Upon the
termination of any Extension Period and the payment of all interest then
accrued and unpaid on the Exchange Junior Subordinated Debentures (together
with interest thereon at the applicable periodic Interest Rate, compounded
quarterly, to the extent permitted by applicable law), Greater Bay may begin a
new Extension Period, subject to
 
                                      23
<PAGE>
 
the above requirements. There is no limitation on the number of times that
Greater Bay may begin an Extension Period. See "Description of Exchange
Securities--Description of Exchange Capital Securities--Distributions" and "--
Description of Exchange Junior Subordinated Debentures--Option to Extend
Interest Payment Date."
 
  Greater Bay has no plan to exercise its right to defer payments of interest
on the Exchange Junior Subordinated Debentures. However, should Greater Bay
exercise its right to defer payments of interest on the Junior Subordinated
Debentures, each holder of Trust Securities will be required to accrue income
(as original issue discount ("OID")) in respect of the deferred stated
interest allocable to its Trust Securities for federal income tax purposes,
which will be allocated but not distributed to holders of Trust Securities. As
a result, each holder of Capital Securities will recognize income for federal
income tax purposes in advance of the receipt of cash and will not receive the
cash related to such income from the Trust if the holder disposes of the
Capital Securities prior to the record date for the payment of Distributions
thereafter. See "Certain Federal Income Tax Consequences--Interest Income and
Original Issue Discount" and "--Sales of Capital Securities."
 
  If Greater Bay exercises its right to defer payments of interest on the
Exchange Junior Subordinated Debentures, the market price of the Exchange
Capital Securities is likely to be affected. A holder that disposes of its
Exchange Capital Securities during an Extension Period, therefore, might not
receive the same return on its investment as a holder that continues to hold
its Exchange Capital Securities. In addition, the mere existence of Greater
Bay's right to defer payments of interest on the Exchange Junior Subordinated
Debentures may cause the market price of the Exchange Capital Securities to be
more volatile than the market prices of other securities on which OID accrues
and that are not subject to such deferrals.
 
SPECIAL EVENT REDEMPTION
 
  If a Special Event, including an Investment Company Event, a Tax Event or a
Regulatory Capital Event (in each case as defined under "Description of
Exchange Securities--Description of Exchange Junior Subordinated Debentures--
Special Event Prepayment"), occurs before September 15, 2008, Greater Bay will
have the right to prepay the Exchange Junior Subordinated Debentures in whole,
but not in part, at the Prepayment Price within 90 days following the
occurrence of such Special Event and therefore cause a mandatory redemption of
the Trust Securities at the Special Event Redemption Price. The exercise of
such right is subject to Greater Bay having received any required regulatory
approvals. See "Description of Exchange Securities--Description of Exchange
Capital Securities--Redemption."
 
PENDING TAX LITIGATION
 
  Prospective investors should be aware that Enron Corporation has filed a
petition in the United States Tax Court challenging the proposed disallowance
by the Internal Revenue Service ("IRS") of the deduction of interest expense
on securities issued by Enron Corporation in 1993 and 1994 that are similar
to, although different in a number of respects from, the Exchange Junior
Subordinated Debentures. A decision of the Tax Court in the Enron matter
upholding the position of the IRS would not necessarily affect the tax
treatment of interest paid on the Exchange Junior Subordinated Debentures
because such a decision may be based on factors that differ from those
pertaining to the Exchange Junior Subordinated Debentures, the Trust or
Greater Bay. However, it is possible that such a decision would result in the
receipt by Greater Bay or the Trust of an opinion of counsel that there is a
more than insubstantial risk that interest payable on the Exchange Junior
Subordinated Debentures is not or will not be deductible. The receipt of such
an opinion would constitute a Tax Event, which would permit Greater Bay to
cause a redemption of the Capital Securities. See "Description of Exchange
Capital Securities--Redemption" and "Description of Exchange Junior
Subordinated Debentures--Special Event Prepayment."
 
 
POSSIBLE TAX LAW CHANGES AFFECTING THE EXCHANGE CAPITAL SECURITIES
 
  Congress and the Clinton Administration have from time to time considered
proposals that would deny an issuer a deduction for United States income tax
purposes for the payment of interest on instruments with
 
                                      24
<PAGE>
 
characteristics similar to the Exchange Junior Subordinated Debentures. Such
proposals have been considered in connection with recent legislation,
including the recently enacted Taxpayer Relief Act of 1997 (the "Relief Act").
While no such proposals have been included in the final provisions of recent
legislation, including the Relief Act, and no such legislation is currently
pending, there can be no assurance that similar legislation proposed and
enacted after the date hereof would not adversely affect the tax treatment of
the Exchange Junior Subordinated Debentures, potentially on a retroactive
basis. Such a change would give rise to a Tax Event which may permit Greater
Bay to cause a redemption of the Exchange Capital Securities by electing to
prepay the Exchange Junior Subordinated Debentures.
 
LIQUIDATION DISTRIBUTION OF EXCHANGE JUNIOR SUBORDINATED DEBENTURES
 
  Greater Bay will have the right to terminate the Trust and, after
satisfaction of liabilities of creditors of the Trust as required by
applicable law, to cause the Exchange Junior Subordinated Debentures to be
distributed to the holders of the Trust Securities in liquidation of the
Trust. Under current federal income tax law, a distribution of Exchange Junior
Subordinated Debentures upon the dissolution of the Trust would not be a
taxable event to holders of the Exchange Capital Securities. Upon the
occurrence of a Special Event, however, a dissolution of the Trust in which
holders of the Exchange Capital Securities receive cash would be a taxable
event to such holders. See "Certain Federal Income Tax Considerations--Receipt
of Exchange Junior Subordinated Debentures or Cash Upon Liquidation of the
Trust."
 
POSSIBLE ADVERSE EFFECT ON MARKET PRICES
 
  There can be no assurance as to the market prices for Exchange Capital
Securities or the Exchange Junior Subordinated Debentures that may be
distributed in exchange for Exchange Capital Securities if a dissolution of
the Trust were to occur. Accordingly, the Exchange Capital Securities or the
Exchange Junior Subordinated Debentures may trade at a discount from the price
that the investor paid to purchase the Exchange Capital Securities offered
hereby. Because holders of Exchange Capital Securities may receive Exchange
Junior Subordinated Debentures in liquidation of the Trust and because
Distributions are otherwise limited to payments on the Exchange Junior
Subordinated Debentures, prospective purchasers of Exchange Capital Securities
are also making an investment decision with regard to the Exchange Junior
Subordinated Debentures and should carefully review all the information
regarding the Exchange Junior Subordinated Debentures contained herein. See
"Description of Exchange Securities--Description of Exchange Capital
Securities--Liquidation of the Trust and Distribution of Exchange Junior
Subordinated Debentures" and "--Description of Exchange Junior Subordinated
Debentures."
 
RIGHTS UNDER THE EXCHANGE GUARANTEE
 
  The Exchange Guarantee guarantees to the holders of the Exchange Capital
Securities the following payments, to the extent not paid by or on behalf of
the Trust: (i) any accumulated and unpaid Distributions required to be paid on
the Exchange Capital Securities, to the extent that the Trust has funds
legally available therefor at such time, (ii) the applicable Redemption Price
with respect to the Exchange Capital Securities called for redemption, to the
extent that the Trust has funds legally available therefor at such time and
(iii) upon a voluntary or involuntary dissolution, winding up or liquidation
of the Trust (unless the Exchange Junior Subordinated Debentures are
distributed to holders of the Exchange Capital Securities), the lesser of (a)
the aggregate of the Liquidation Amount and all accumulated and unpaid
Distributions to the date of payment, to the extent that the Trust has funds
legally available therefor at such time and (b) the amount of assets of the
Trust remaining available for distribution to holders of the Exchange Capital
Securities at such time, after the satisfaction of liabilities to creditors of
the Trust as provided by applicable law.
 
  The holders of not less than a majority in aggregate Liquidation Amount of
the Exchange Capital Securities have the right to direct the time, method and
place of conducting any proceeding for any remedy available to the Guarantee
Trustee in respect of the Exchange Guarantee or to direct the exercise of any
trust power conferred upon the Guarantee Trustee under the Exchange Guarantee.
Any holder of the Exchange Capital Securities may
 
                                      25
<PAGE>
 
institute a legal proceeding directly against Greater Bay to enforce its
rights under the Exchange Guarantee without first instituting a legal
proceeding against the Trust, the Guarantee Trustee or any other person or
entity. If Greater Bay defaults on its obligation to pay amounts payable under
the Exchange Junior Subordinated Debentures, the Trust would not have
sufficient funds for the payment of Distributions or amounts payable on
redemption of the Exchange Capital Securities or otherwise, and, in such
event, holders of the Exchange Capital Securities would not be able to rely
upon the Exchange Guarantee for payment of such amounts. Instead, if a
Debenture Event of Default has occurred and is continuing and such event is
attributable to the failure of Greater Bay to pay the principal of or interest
(including Additional Sums and Compounded Interest, if any, each as defined
herein) on the Exchange Junior Subordinated Debentures when such payment is
due and payable, then a holder of Exchange Capital Securities may institute a
legal proceeding directly against Greater Bay for enforcement of payment to
such holder of the principal of or interest (including Additional Sums and
Compounded Interest, if any) on such Exchange Junior Subordinated Debentures
having a principal amount equal to the Liquidation Amount of the Exchange
Capital Securities of such holder (a "Direct Action"). Notwithstanding any
payments made to a holder of Exchange Capital Securities by Greater Bay in
connection with a Direct Action, Greater Bay shall remain obligated to pay the
principal of and interest (including Additional Sums and Compounded Interest,
if any) on the Exchange Junior Subordinated Debentures, and Greater Bay shall
be subrogated to the rights of the holder of such Exchange Capital Securities
with respect to payments on the Exchange Capital Securities to the extent of
any payments made by Greater Bay to such holder in any Direct Action. Except
as described herein, holders of Exchange Capital Securities will not be able
to exercise directly any other remedy available to the holders of the Exchange
Junior Subordinated Debentures or to assert directly any other rights in
respect of the Exchange Junior Subordinated Debentures. See "Description of
Exchange Securities--Description of Exchange Junior Subordinated Debentures--
Enforcement of Certain Rights by Holders of Exchange Capital Securities," "--
Debenture Events of Default" and "Description of Exchange Securities--
Description of Exchange Guarantee." The Trust Agreement provides that each
holder of Exchange Capital Securities by acceptance thereof agrees to the
provisions of the Indenture and the Exchange Guarantee. Wilmington Trust
Company will act as Guarantee Trustee under the Exchange Guarantee and will
hold the Exchange Guarantee for the benefit of the holders of the Exchange
Capital Securities. Wilmington Trust Company also acts as Property Trustee
under the Trust Agreement and as Debenture Trustee under the Indenture.
 
LIMITED VOTING RIGHTS
 
  Holders of Exchange Capital Securities generally will have voting rights
relating only to the modification of the Exchange Capital Securities and the
exercise of the Trust's rights as holder of Exchange Junior Subordinated
Debentures. Holders of Exchange Capital Securities will not be entitled to
vote to appoint, remove or replace, or to increase or decrease the number of,
the Issuer Trustees, which voting rights are vested exclusively in the holder
of the Common Securities except upon the occurrence of certain events
described herein. The Property Trustee, the Administrative Trustees and
Greater Bay may amend the Trust Agreement without the consent of holders of
Exchange Capital Securities to ensure that the Trust will be classified for
United States federal income tax purposes as a grantor trust. Holders of
Exchange Capital Securities will have no voting rights with respect to any
matters submitted to a vote of Greater Bay's stockholders. See "Description of
Exchange Securities--Description of Exchange Capital Securities--Voting
Rights; Amendment of the Trust Agreement" and "--Removal of Issuer Trustees."
 
TRADING CHARACTERISTICS OF THE EXCHANGE CAPITAL SECURITIES
 
  The Exchange Capital Securities may trade at a price that does not fully
reflect the value of accrued but unpaid interest with respect to the
underlying Exchange Junior Subordinated Debentures. A holder who uses the
accrual method of accounting for tax purposes (and a cash method holder, if
the Exchange Junior Subordinated Debentures are deemed to have been issued
with OID) and who disposes of its Exchange Capital Securities between record
dates for payments of Distributions thereon will be required to include
accrued but unpaid interest on the Exchange Junior Subordinated Debentures
through the date of disposition in income as ordinary income (i.e., interest
or, possibly, OID), and to add such amount to its adjusted tax basis in its
share of the underlying Exchange Junior Subordinated Debentures deemed
disposed of. If the selling price is less than the
 
                                      26
<PAGE>
 
holder's adjusted tax basis (which will include all accrued but unpaid
interest), a holder will recognize a capital loss. Subject to certain limited
exceptions, capital losses cannot be applied to offset ordinary income for
federal income tax purposes. See "Certain Federal Income Tax Considerations--
Interest Income and Original Issue Discount" and "--Sales of Exchange Capital
Securities."
 
CONSEQUENCES OF A FAILURE TO EXCHANGE ORIGINAL CAPITAL SECURITIES
 
  The Original Capital Securities have not been registered under the
Securities Act or any state securities laws and therefore may not be offered,
sold or otherwise transferred except in compliance with the registration
requirements of the Securities Act and any other applicable securities laws,
or pursuant to an exemption therefrom or in a transaction not subject thereto,
and in each case in compliance with certain other conditions and restrictions.
Original Capital Securities that remain outstanding after consummation of the
Exchange Offer will continue to bear a legend reflecting such restrictions on
transfer. In addition, upon consummation of the Exchange Offer, holders of
Original Capital Securities that remain outstanding will not be entitled to
any rights to have such Original Capital Securities registered under the
Securities Act or to any similar rights under the Registration Rights
Agreement (subject to certain limited exceptions). Greater Bay and the Trust
do not intend to register under the Securities Act any Original Capital
Securities that remain outstanding after consummation of the Exchange Offer
(subject to such limited exceptions, if applicable). To the extent that
Original Capital Securities are tendered and accepted in the Exchange Offer, a
holder's ability to sell untendered Original Capital Securities could be
adversely affected.
 
  The Exchange Capital Securities and any Original Capital Securities that
remain outstanding after consummation of the Exchange Offer will vote together
as a single class for purposes of determining whether holders of the requisite
percentage in outstanding Liquidation Amount thereof have taken certain
actions or exercised certain rights under the Trust Agreement. See
"Description of Exchange Securities--Description of Exchange Capital
Securities--Voting Rights; Amendment of the Trust Agreement."
 
ABSENCE OF RATINGS OR PUBLIC MARKET; RESTRICTIONS ON RESALE
 
  The Original Capital Securities and the Exchange Capital Securities have not
been rated by any rating agency. The Original Capital Securities were issued
to, and Greater Bay believes such securities are currently owned by, a
relatively small number of beneficial owners. The Original Capital Securities
have not been registered under the Securities Act and will be subject to
restrictions on transferability if they are not exchanged for the Exchange
Capital Securities. Although the Exchange Capital Securities may be resold or
otherwise transferred by the holders (who are not affiliates of Greater Bay or
the Trust) without compliance with the registration requirements under the
Securities Act, they will constitute a new issue of securities with no
established trading market. Capital Securities may be transferred by the
holders thereof only in blocks having a Liquidation Amount of not less than
$100,000 (100 Capital Securities). In addition, any market-making activity, if
it should develop, will be subject to the limits imposed by the Securities Act
and the Exchange Act and may be limited during the Exchange Offer.
Accordingly, no assurance can be given that an active public or other market
will develop for the Capital Securities, or as to the liquidity of or the
trading market for the Capital Securities. If an active public market does not
develop, the market price and liquidity of the Exchange Capital Securities may
be adversely affected.
 
  If a public trading market develops for the Exchange Capital Securities,
future trading prices will depend on many factors, including, among other
things, prevailing interest rates, the financial condition of Greater Bay and
the market for similar securities. Depending on these and other factors, the
Exchange Capital Securities may trade at a discount.
 
  Notwithstanding the registration of the Exchange Capital Securities in the
Exchange Offer, holders who are "affiliates" (as defined under Rule 405 of the
Securities Act) of Greater Bay or the Trust may publicly offer for sale or
resell the Exchange Capital Securities only in compliance with the provisions
of Rule 144 under the Securities Act.
 
                                      27
<PAGE>
 
  Each broker-dealer that receives Exchange Capital Securities for its own
account in exchange for Original Capital Securities, where such Original
Capital Securities were acquired by such broker-dealer as a result of market-
making activities or other trading activities, must acknowledge that it will
deliver a prospectus in connection with any resale of such Exchange Capital
Securities. See "Plan of Distribution."
 
EXCHANGE OFFER PROCEDURES
 
  Subject to conditions set forth under "The Exchange Offer--Conditions to the
Exchange Offer," issuance of the Exchange Capital Securities in exchange for
Original Capital Securities pursuant to the Exchange Offer will be made only
after a timely receipt by the Trust of (i)a book-entry confirmation evidencing
the tender of such Original Capital Securities through ATOP or
(ii)certificates representing such Original Capital Securities, a properly
completed and duly executed Letter of Transmittal, with any required signature
guarantees, and all other required documents. See "The Exchange Offer--
Acceptance for Exchange and Issuance of Exchange Capital Securities" and "--
Procedures for Tendering Original Capital Securities." Therefore, holders of
the Original Capital Securities desiring to tender such Original Capital
Securities in exchange for Exchange Capital Securities should allow sufficient
time to ensure timely delivery. Neither Greater Bay nor the Trust is under any
duty to give notification of defects or irregularities with respect to the
tenders of Original Capital Securities for exchange.
 
ABILITY OF GREATER BAY TO EXECUTE ITS BUSINESS STRATEGY
 
  The financial performance and profitability of Greater Bay will depend on
its ability to execute its business strategy and manage its recent and
possible future growth. Although Greater Bay believes that it has
substantially integrated the business and operations of the recently acquired
Banks and PBFC into Greater Bay, there can be no assurance that unforeseen
issues relating to the assimilation of these Banks and PBFC will not adversely
affect Greater Bay. In addition, any future acquisitions or other possible
future growth may present operating and other problems that could have a
material adverse effect on Greater Bay's business, financial condition and
results of operations. Greater Bay's financial performance will also depend on
Greater Bay's ability to maintain profitable operations through implementation
of its Super Community Banking Philosophy. Accordingly, there can be no
assurance that Greater Bay will be able to continue the growth or maintain the
level of profitability it has recently experienced.
 
INTEREST RATE RISK
 
  Greater Bay's earnings depend largely on the relationship between the cost
of funds, primarily deposits, and the yield on earning assets. This
relationship, known as the interest rate spread, is subject to fluctuation and
is affected by economic and competitive factors which influence interest
rates, the volume and mix of interest-earning assets and interest-bearing
liabilities, and the level of non-performing assets. Fluctuations in interest
rates affect the demand of clients for Greater Bay's products and services.
Greater Bay is subject to interest rate risk to the degree that its interest-
bearing liabilities reprice or mature more slowly or more rapidly or on a
different basis than its interest-earning assets. Given Greater Bay's current
volume and mix of interest-bearing liabilities and interest-earning assets,
Greater Bay's interest rate spread could be expected to increase during times
of rising interest rates and, conversely, to decline during times of falling
interest rates. Although Greater Bay believes its current level of interest
rate sensitivity is reasonable, significant fluctuations in interest rates may
have an adverse effect on Greater Bay's results of operations.
 
ECONOMIC CONDITIONS AND GEOGRAPHIC CONCENTRATION
 
  Greater Bay's operations are located in Northern California and concentrated
in San Francisco, Santa Clara and San Mateo Counties, which include the area
known as the "Silicon Valley." As a result of the geographic concentration,
Greater Bay's results depend largely upon economic conditions in these areas.
A deterioration in economic conditions in Greater Bay's market areas,
particularly in the technology and real estate industries on which these areas
depend, could have a material adverse impact on the quality of Greater Bay's
loan portfolio and the demand for its products and services, and accordingly,
its results of operations.
 
                                      28
<PAGE>
 
GOVERNMENT REGULATION AND MONETARY POLICY
 
  The banking industry is subject to extensive federal and state supervision
and regulation. Such regulation limits the manner in which Greater Bay and the
Banks conduct their respective businesses, undertake new investments and
activities and obtain financing. This regulation is designed primarily for the
protection of the deposit insurance funds and consumers, and not to benefit
holders of Greater Bay's securities. Financial institution regulation has been
the subject of significant legislation in recent years, and may be the subject
of further significant legislation in the future, none of which is in the
control of Greater Bay. Significant new laws or changes in, or repeals of,
existing laws may cause Greater Bay's results to differ materially. Further,
federal monetary policy, particularly as implemented through the Federal
Reserve System, significantly affects credit conditions for Greater Bay,
primarily through open market operations in United States government
securities, the discount rate for bank borrowings and bank reserve
requirements, and a material change in these conditions would be likely to
have a material impact on Greater Bay's results of operations.
 
COMPETITION
 
  The banking and financial services business environment in California, as
well as the rest of the United States, is highly and increasingly competitive.
The Banks compete for client loans, deposits and other financial products and
services with other commercial banks, savings and loan associations,
securities and brokerage companies, mortgage companies, insurance companies,
finance companies, money market and other mutual funds, credit unions, and
other non-bank financial services providers. Many of these competitors are
much larger in total assets and capitalization, have greater access to capital
markets and offer a broader array of financial products and services than the
Banks. The increasingly competitive environment is primarily a result of
changes in regulation, changes in technology and product delivery systems, and
the accelerating pace of consolidation among financial services providers. In
order to compete with other financial services providers, the Banks
principally rely upon promotional activities and industry knowledge in its
market areas, personal relationships with clients and other service providers,
referral sources established by officers, directors and employees, and
specialized services tailored to meet the Banks' clients' needs. In those
instances where the Banks are unable to accommodate a client's needs, the
Banks will seek to arrange for those services to be provided by their network
of correspondents and other service providers.
 
CREDIT QUALITY
 
  A significant source of risk for Greater Bay arises from the possibility
that losses will be sustained because borrowers, guarantors and related
parties may fail to perform in accordance with the terms of their loans.
Greater Bay has adopted underwriting and credit monitoring procedures and
credit policies, including the establishment and review of the allowance for
credit losses, that management believes are appropriate to minimize this risk
by assessing the likelihood of nonperformance, tracking loan performance and
diversifying Greater Bay's credit portfolio. Such policies and procedures,
however, may not prevent unexpected losses that could materially adversely
affect Greater Bay's results of operations.
 
YEAR 2000 COMPLIANCE
 
  Greater Bay and third parties with which the Company does business rely on
numerous computer programs in their day-to-day operations. Greater Bay has
completed a review of its internal information systems and believes such
systems are either year 2000 compliant or will be year 2000 compliant by the
first half of 1999 without any significant interruption to Greater Bay's
operations. While Greater Bay believes its planning efforts are adequate to
address its year 2000 concerns and that the costs and efforts of its year 2000
initiatives are not expected to be material to the Company's business,
financial condition or operating results, there can be no assurance that
Greater Bay will be able to effectively address its year 2000 issues in a
timely and cost-efficient
 
                                      29
<PAGE>
 
manner and without interruption to its business. Greater Bay has initiated
discussions with its significant suppliers regarding their plans to remediate
year 2000 issues where their systems interface with the Company's systems or
otherwise impact its operations. There can be no assurance that year 2000
difficulties encountered by its suppliers and other third parties with whom it
does business will not have a material adverse impact on Greater Bay's
business, financial condition or operating results. See "Management's
Discussion and Analysis of Financial Condition and Results of Operations--Year
2000 Compliance," included the Company's Current Report on Form 8-K filed with
the SEC on September 30, 1998 and incorporated by reference herein.
 
OTHER RISK FACTORS
 
  For a discussion of other risk factors that should be considered by
potential investors, please see the sections entitled "Business" and
"Management's Discussion and Analysis of Financial Condition and Results of
Operations" in Greater Bay's Annual Report on Form 10-K for the year ended
December 31, 1997 which is incorporated herein by reference.
 
                              GREATER BAY BANCORP
 
  Greater Bay is a bank holding company operating CNB, MPB, PBC and GGB. The
Banks operate through ten regional offices in Cupertino, Millbrae, Palo Alto,
Redwood City, San Bruno, San Mateo, San Jose and San Francisco, California.
 
  In order to meet the demands of the increasingly competitive banking and
financial services industries, management has adopted a business philosophy
referred to as the "Super Community Banking Philosophy." The Super Community
Banking Philosophy is based on management's belief that banking clients value
doing business with locally managed institutions that can provide a full
service commercial banking relationship through an understanding of the
client's financial needs and the flexibility to customize products and
services to meet those needs. Management further believes that banks are
better able to build successful client relationships by affiliating with a
holding company that provides cost effective administrative support services
while promoting bank autonomy and flexibility.
 
  To implement this philosophy, Greater Bay operates each Bank as a separate
subsidiary by retaining its independent name along with its individual Board
of Directors. The Banks have established strong reputations and client
followings in their respective market areas through attention to client
service and an understanding of client needs. In an effort to capitalize on
the identities and reputations of the Banks, Greater Bay will continue to
market its services under each Bank's name, primarily through each Bank's
relationship managers. The primary focus for the Banks' relationship managers
is to cultivate and nurture their client relationships. Relationship managers
are assigned to each borrowing client to provide continuity in the
relationship. This emphasis on personalized relationships requires that all of
the relationship managers maintain close ties to the communities in which they
serve, so they are able to capitalize on their efforts through expanded
business opportunities for the Banks.
 
  While client service decisions and day-to-day operations are maintained at
the Banks, Greater Bay offers the advantages of affiliation with a multi-bank
holding company by providing improved access to the capital markets and
expanded client support services, such as business cash management,
international trade finance services and accounting services. In addition,
Greater Bay provides centralized administrative functions, including support
in credit policy formulation and review, investment management, data
processing, accounting and other specialized support functions, thereby
allowing the Banks to focus on client service.
 
  The Banks have various operating divisions. These divisions include the
Greater Bay Trust Company, the Venture Banking Group, the SBA Department, and
the asset-based speciality finance division, PBFC. In addition, consistent
with Greater Bay's operating philosophy and growth strategy, the Company
recently announced that it has formed the Greater Bay Bank Santa Clara Valley
Commercial Banking Group, the Greater Bay Corporate Finance Group, and the
Greater Bay International Banking Division. For a description of the
acquisition of PBFC, see "Recent Developments."
 
                                      30
<PAGE>
 
  Greater Bay provides a wide range of commercial banking and financial
services to small and medium-sized businesses, real estate developers and
property managers, business executives, professionals and other individuals.
 
  The Banks offer a variety of deposit products focusing principally on
business clients. These products include personal and business checking and
savings accounts, time deposits and individual retirement accounts. The Banks
also offer an array of specialized services designed to attract and service
the needs of its business and personal clients. These include cash management,
international trade finance services and MasterCard and Visa merchant deposit
services.
 
  The Banks also engage in the full complement of lending activities,
including commercial, real estate and construction loans. The Banks provide
commercial loans for working capital and business expansion to small and
medium-sized businesses with annual revenues generally in the range of $1.0
million to $100.0 million, with a focus on business clients with borrowing
needs between $2.0 million and $10.0 million. The Banks' commercial clients
are drawn from a wide range of manufacturing, wholesale and service
businesses. The Banks provide interim real estate loans primarily for
construction in the Banks' primary service areas of single-family residences,
which typically range between approximately $500,000 and $1.0 million, and
multi-unit projects, which typically range between approximately $1.5 million
and $4.0 million. The Banks provide medium term commercial real estate loans
or credits for the financing of commercial or industrial buildings, where the
properties are either used by the owner for business purposes or have income
derived from tenants, which typically range between approximately $750,000 and
$3.0 million.
 
  The Company's trust division, the Greater Bay Trust Company, provides trust
services to support the trust needs of the Banks' business and personal
clients. These services include, but are not limited to, custodial, investment
management, estate planning resources and employee benefit plan services.
 
  Through the SBA Department, loans are made to small businesses and are
generally 65% to 80% guaranteed by the SBA. In 1994, CNB was named a Preferred
Lender by the SBA. Preferred Lender status is awarded by the SBA to lenders
that have demonstrated superior ability to generate, underwrite and service
loans guaranteed by the SBA, and results in more rapid turnaround of loan
applications submitted to the SBA for approval.
 
  The Venture Banking Group serves the needs of companies in their start-up
and development phase. This unit meets the needs of such clients in Greater
Bay's service area by allowing them to access a banking relationship early in
their development. The initial relationship with these clients is generally
focused on deposit accounts and cash management services, with a lending
relationship developing as the companies mature and have an increasing need
for a working capital line of credit or other bank financing. The loans to
this target group of clients are generally secured by the accounts receivable,
inventory and equipment of the companies. The financial strength of these
companies also tends to be bolstered by the presence of venture capital
investors among their shareholders.
 
  Through PBFC, Greater Bay continues to develop its asset-based lending and
factoring business. In addition, the Greater Bay Bank Santa Clara Valley
Commercial Banking Group and the Greater Bay Corporate Finance Group provide
commercial banking products and specialized corporate finance services to the
Company's clients. The Greater Bay International Banking Division provides a
wide range of financial services to support the international banking needs of
the Banks' clients, including identifying certain risks of conducting business
abroad, providing international letters of credit and trade finance services.
 
  The Company's goal is to become the preeminent financial services company
headquartered in the San Francisco Bay Area. Greater Bay's business strategy
is to focus principally on increasing its market share within the communities
it serves through continued internal growth. The Company also will pursue
opportunities to expand its market share through select acquisitions that
management believes complement Greater Bay's businesses. Management will
consider acquisitions which would expand its presence in its current market
areas of San Francisco, Santa Clara and San Mateo Counties, and pursue
appropriate opportunities to expand its market
 
                                      31
<PAGE>
 
through acquisitions in other parts of the Bay Area and elsewhere. Consistent
with the Company's operating philosophy and growth strategy, Greater Bay
regularly evaluates opportunities to acquire banks and other financial service
companies that complement the Company's existing business, expand its market
coverage and share and enhance its client product offerings.
 
  Greater Bay was incorporated in California in 1984 under the name San Mateo
County Bancorp. Greater Bay's principal offices are located at 2860 West
Bayshore Road, Palo Alto, California 94303 and its telephone number is (650)
813-8200.
 
                                GBB CAPITAL II
 
  The Trust is a statutory business trust formed under Delaware law upon the
filing of a certificate of trust with the Delaware Secretary of State. The
Trust exists for the exclusive purposes of (i) issuing and selling the Trust
Securities, (ii) using the proceeds from the sale of Trust Securities to
acquire the Junior Subordinated Debentures and (iii) engaging in only those
other activities necessary, advisable or incidental thereto, such as
registering the transfer of the Trust Securities and the Exchange Offer.
Accordingly, the Junior Subordinated Debentures are the sole assets of the
Trust, and payments under the Junior Subordinated Debentures are the sole
revenues of the Trust. All of the Common Securities are owned by Greater Bay.
The Common Securities rank pari passu, and payments are and will be made
thereon pro rata, with the Exchange Capital Securities, except that if there
is an Event of Default under the Trust Agreement resulting from a Debenture
Event of Default, the rights of Greater Bay as holder of the Common Securities
to payments in respect of Distributions and payments upon liquidation,
redemption or otherwise will be subordinated to the rights of the holders of
the Exchange Capital Securities. See "Description of Exchange Capital
Securities--Subordination of Common Securities." Greater Bay acquired Common
Securities in a Liquidation Amount equal to at least 3% of the total capital
of the Trust. The Trust has a term of approximately 38 years, but may
terminate earlier as provided in the Trust Agreement. The Trust's business and
affairs are conducted by the Issuer Trustees, each appointed by Greater Bay as
holder of the Common Securities. The Issuer Trustees for the Trust are
Wilmington Trust Company, as the Property Trustee, Wilmington Trust Company,
as the Delaware Trustee and three individual Administrative Trustees who are
officers or other employees of Greater Bay. Wilmington Trust Company also acts
as guarantee trustee under the Guarantee and as debenture trustee under the
Indenture. See "Description of Exchange Securities--Description of Exchange
Guarantee" and "--Description of Exchange Junior Subordinated Debentures."
 
  The holder of the Common Securities or, if an Event of Default under the
Trust Agreement has occurred and is continuing, the holders of not less than a
majority in Liquidation Amount of the Capital Securities, are entitled to
appoint, remove or replace the Property Trustee and/or the Delaware Trustee.
In no event will the holders of the Exchange Capital Securities have the right
to vote to appoint, remove or replace the Administrative Trustees; such voting
rights will be vested exclusively in the holder of the Common Securities. The
duties and obligations of each Issuer Trustee are governed by the Trust
Agreement. Greater Bay, as issuer of the Exchange Junior Subordinated
Debentures, has and will continue pay all fees, expenses, debts and
obligations (other than the payment of principal, interest and premium, if
any, on the Trust Securities) related to the Trust and the offering of the
Exchange Capital Securities and has and will continue pay, directly or
indirectly, all ongoing costs, expenses and liabilities (other than the
payment of principal, interest and premium, if any, on the Trust Securities)
of the Trust.
 
  GBB Capital II's principal offices are located at 2860 West Bayshore Road,
Palo Alto, California 94303 and its telephone number is (650) 813-8200.
 
                                      32
<PAGE>
 
                                USE OF PROCEEDS
 
  Neither Greater Bay nor the Trust will receive any cash proceeds from the
issuance of the Exchange Capital Securities and the Exchange Guarantee offered
hereby. In consideration for issuing the Exchange Capital Securities in
exchange for Original Capital Securities as described in this Prospectus, the
Trust will receive Original Capital Securities in like Liquidation Amount. The
Original Capital Securities surrendered in exchange for the Exchange Capital
Securities will be retired and canceled.
 
  The proceeds to the Trust (without giving effect to expenses of the offering
payable by Greater Bay) from the offering of the Original Capital Securities
was $30,000,000. All of the proceeds from the sale of the Original Capital
Securities were invested by the Trust in the Original Junior Subordinated
Debentures. The net proceeds to Greater Bay from the sale of the Original
Junior Subordinated Debentures were approximately $28,750,000, net of
estimated commissions and other estimated offering expenses. Greater Bay
invested approximately $10.0 million of the net proceeds in the Banks to
increase their capital levels, has or will use the remaining net proceeds for
general corporate purposes including, without limitation, redemption of all of
the $3.0 million outstanding Subordinated Notes, funding additional
investments in, or extensions of credit to, the Banks and possible future
acquisitions. The Subordinated Notes mature in 2005 and bear interest at the
rate of 11.5% per annum. Initially, the net proceeds have been invested in
short-term investment grade financial securities.
 
                           REGULATORY CAPITAL RATIOS
 
  The following table sets forth the consolidated capital ratios of Greater
Bay at June 30, 1998, and as adjusted to give effect to the issuance of the
Original Capital Securities by GBB Capital II.
 
<TABLE>
<CAPTION>
                                                                 JUNE 30, 1998
                                                                ----------------
                                                                           AS
                                                                ACTUAL  ADJUSTED
                                                                ------  --------
<S>                                                             <C>     <C>
Tier 1 Risk-Based Capital...................................... 10.22%   11.29%
Total Risk-Based Capital....................................... 11.79%   14.90%
Leverage.......................................................  7.50%    8.04%
</TABLE>
 
                                      33
<PAGE>
 
                             ACCOUNTING TREATMENT
 
  For financial reporting purposes, the Trust is treated as a subsidiary of
Greater Bay and, accordingly, the accounts of the Trust are included in the
consolidated financial statements of Greater Bay. The Capital Securities are
shown in the consolidated balance sheets of Greater Bay, as "Company-Obligated
Mandatorily Redeemable Trust Preferred Securities of Subsidiary Trust Holding
Solely Junior Subordinated Debentures," and appropriate disclosures about the
Capital Securities, the Guarantees and the Junior Subordinated Debentures will
be included in the notes to the consolidated financial statements. For
financial reporting purposes, Greater Bay records Distributions payable on the
Capital Securities as a minority interest expense in its consolidated
statements of operations.
 
  Future reports of Greater Bay filed under the Exchange Act will include a
footnote to the financial statements stating that: (i) GBB Capital II is
wholly owned; (ii) the sole assets of GBB Capital II are the Junior
Subordinated Debentures (specifying the principal amount, interest rate and
maturity date of such Junior Subordinated Debentures); and (iii) the back-up
obligations, in the aggregate, constitute a full and unconditional guarantee
by Greater Bay of the obligations of GBB Capital II under the Capital
Securities. GBB Capital II will not provide separate reports under the
Exchange Act.
 
                                CAPITALIZATION
 
  The following table sets forth the capitalization of Greater Bay as of June
30, 1998, and as adjusted to give effect to the issuance of the Original
Capital Securities by GBB Capital II. Consummation of the Exchange Offer will
have no effect on such capitalization. This data should be read in conjunction
with the consolidated financial statements of Greater Bay, including the
related notes thereto and discussion thereof.
 
<TABLE>
<CAPTION>
                                                                JUNE 30, 1998
                                                              -----------------
                                                                          AS
                                                               ACTUAL  ADJUSTED
                                                              -------- --------
<S>                                                           <C>      <C>
Long-term debt............................................... $  3,000 $    --
Company obligated mandatory redeemable trust preferred
 securities of subsidiary trusts holding solely junior
 subordinated debentures(1)..................................   20,000   50,000
Preferred Stock, no par value, 4,000,000 shares authorized,
 none issued.................................................      --       --
Common Stock, no par value, 24,000,000 shares authorized,
 9,189,961 shares outstanding................................   54,247   54,247
Accumulated other comprehensive income(2)....................      186      186
Retained earnings............................................   27,900   27,900
                                                              -------- --------
  Total shareholders' equity.................................   82,333   82,333
                                                              -------- --------
  Total capitalization....................................... $105,333 $132,333
                                                              ======== ========
</TABLE>
- --------
(1) The subsidiary trusts are (i) GBB Capital I, which issued the trust
    preferred securities on March 31, 1997 and holds $20 million in 9.75%
    Junior Subordinated Deferrable Interest Debentures issued by Greater Bay,
    and (ii) GBB Capital II, which holds the Junior Subordinated Debentures as
    its sole asset. The Capital Securities are issued by GBB Capital II. The
    Junior Subordinated Debentures bear interest at the rate per annum, reset
    quarterly, equal to 3-month LIBOR (as defined herein) plus 150 basis
    points, and will mature on September 15, 2028. The Junior Subordinated
    Debentures are redeemable at any time prior to the Initial Optional
    Redemption Date, upon the occurrence of a Special Event, and on or after
    the Initial Optional Redemption Date, at the option of Greater Bay,
    subject to Greater Bay having received prior approval of the FRB if then
    required under applicable capital guidelines or policies of the FRB as
    described under "Description of Exchange Junior Subordinated Debentures--
    Optional Prepayment" and "Special Event Prepayment" Greater Bay owns all
    of the Common Securities of GBB Capital.
(2) Includes only net unrealized gain on securities available for sale.
 
                                      34
<PAGE>
 
                              THE EXCHANGE OFFER
 
PURPOSE AND EFFECT OF THE EXCHANGE OFFER
 
  In connection with the sale of the Original Capital Securities, Greater Bay
and the Trust entered into the Registration Rights Agreement with the Initial
Purchaser, pursuant to which Greater Bay and the Trust agreed to file and use
commercially reasonable efforts to cause to become effective with the
Commission a Registration Statement relating to the exchange of the Original
Capital Securities for capital securities with terms identical in all material
respects to the terms of the Original Capital Securities.
 
  The Exchange Offer is being made to satisfy the contractual obligations of
Greater Bay and the Trust under the Registration Rights Agreement. The form
and terms of the Exchange Capital Securities are the same as the form and
terms of the Original Capital Securities except that the Exchange Capital
Securities have been registered under the Securities Act and will not be
subject to certain restrictions on transfer applicable to the Original Capital
Securities, and will not provide for any increase in the Distribution Rate
thereon. In that regard, the Original Capital Securities provide that, if the
Trust has not exchanged Exchange Capital Securities for all Original Capital
Securities validly tendered on or prior to the 45th day after the date on
which the Registration Statement is declared effective, the Distribution Rate
borne by the Original Capital Securities will increase by .25% per annum for
the period from the occurrence of such event until the Exchange Offer has been
consummated. Upon consummation of the Exchange Offer, holders of Original
Capital Securities will not be entitled to any increase in the Distribution
Rate thereon or any further registration rights under the Registration Rights
Agreement, except under limited circumstances. See "Risk Factors--Consequences
of a Failure to Exchange Original Capital Securities" and "Description of
Original Securities."
 
  The Exchange Offer is not being made to, nor will the Trust accept tenders
for exchange from, holders of Original Capital Securities in any jurisdiction
in which the Exchange Offer or the acceptance thereof would not be in
compliance with the securities or blue sky laws of such jurisdiction.
 
  Unless the context requires otherwise, the term "holder" with respect to the
Exchange Offer means any person in whose name the Original Capital Securities
are registered on the books of the Trust or any other person who has obtained
a properly completed bond power from the registered holder, or any person
whose Original Capital Securities are held of record by DTC who desires to
deliver such Original Capital Security by book-entry transfer at DTC.
 
  Pursuant to the Exchange Offer, Greater Bay will exchange as soon as
practicable after the date hereof, the Original Guarantee for the Exchange
Guarantee and the Original Junior Subordinated Debentures, in an amount
corresponding to the Original Capital Securities accepted for exchange, for a
like aggregate principal amount of the Exchange Junior Subordinated
Debentures.
 
  The Exchange Guarantee and the Exchange Junior Subordinated Debentures have
been registered under the Securities Act.
 
TERMS OF THE EXCHANGE OFFER
 
  The Trust hereby offers, upon the terms and subject to the conditions set
forth in this Prospectus and in the accompanying Letter of Transmittal, to
exchange up to and including $30,000,000 aggregate Liquidation Amount of
Exchange Capital Securities for a like aggregate Liquidation Amount of
Original Capital Securities properly tendered on or prior to the Expiration
Date and not properly withdrawn in accordance with the procedures described
herein. The Trust will issue, promptly after the Expiration Date, an aggregate
Liquidation Amount of up to $30,000,000 of Exchange Capital Securities in
exchange for a like principal amount of outstanding Original Capital
Securities tendered and accepted in connection with the Exchange Offer.
Holders may tender their Original Capital Securities in whole or in part in a
Liquidation Amount of not less than $100,000 (100 Original Capital Securities)
or any integral multiple of $1,000 Liquidation Amount (one Capital Security)
in excess thereof.
 
                                      35
<PAGE>
 
  The Exchange Offer is not conditioned upon any minimum Liquidation Amount of
Original Capital Securities being tendered. As of the date of this Prospectus,
$30,000,000 aggregate Liquidation Amount of the Original Capital Securities is
outstanding.
 
  Holders of Original Capital Securities do not have any appraisal or
dissenters' rights in connection with the Exchange Offer. Original Capital
Securities that are not tendered for or are tendered but not accepted in
connection with the Exchange Offer will remain outstanding and be entitled to
the benefits of the Trust Agreement, but will not be entitled to any further
registration rights under the Registration Rights Agreement, except under
limited circumstances. See "Risk Factors--Consequences of a Failure to
Exchange Original Capital Securities" and "Description of Original
Securities."
 
  If any tendered Original Capital Securities are not accepted for exchange
because of an invalid tender, the occurrence of certain other events set forth
herein or otherwise, certificates for any such unaccepted Original Capital
Securities will be returned, without expense, to the tendering holder thereof
promptly after the Expiration Date.
 
  Holders who tender Original Capital Securities in connection with the
Exchange Offer will not be required to pay brokerage commissions or fees or,
subject to the instructions in the Letter of Transmittal, transfer taxes with
respect to the exchange of Original Capital Securities in connection with the
Exchange Offer. Greater Bay will pay all charges and expenses, other than
certain applicable taxes described herein, in connection with the Exchange
Offer. See "--Fees and Expenses."
 
  NEITHER GREATER BAY, THE BOARD OF DIRECTORS OF GREATER BAY NOR ANY ISSUER
TRUSTEE OF THE TRUST MAKES ANY RECOMMENDATION TO HOLDERS OF ORIGINAL CAPITAL
SECURITIES AS TO WHETHER TO TENDER OR REFRAIN FROM TENDERING ALL OR ANY
PORTION OF THEIR ORIGINAL CAPITAL SECURITIES PURSUANT TO THE EXCHANGE OFFER.
IN ADDITION, NO ONE HAS BEEN AUTHORIZED TO MAKE ANY SUCH RECOMMENDATION. EACH
HOLDER OF ORIGINAL CAPITAL SECURITIES MUST DECIDE WHETHER TO TENDER PURSUANT
TO THE EXCHANGE OFFER AND, IF SO, THE AGGREGATE AMOUNT OF ORIGINAL CAPITAL
SECURITIES TO TENDER BASED ON SUCH HOLDER'S OWN FINANCIAL POSITION AND
REQUIREMENTS.
 
EXPIRATION DATE, EXTENSIONS, AMENDMENTS
 
  The term "Expiration Date" means 5:00 p.m.,      time, on         , 1998
unless the Exchange Offer is extended by Greater Bay or the Trust (in which
case the term "Expiration Date" shall mean the latest date and time to which
the Exchange Offer is extended).
 
  Greater Bay and the Trust expressly reserve the right in their sole and
absolute discretion, subject to applicable law, at any time and from time to
time, (i) to delay the acceptance of the Original Capital Securities for
exchange, (ii) to terminate the Exchange Offer (whether or not any Original
Capital Securities have theretofore been accepted for exchange) if the Trust
determines, in its sole and absolute discretion, that any of the events or
conditions referred to under "--Conditions to the Exchange Offer" have
occurred or exist or have not been satisfied, (iii) to extend the Expiration
Date of the Exchange Offer and retain all Original Capital Securities tendered
pursuant to the Exchange Offer, subject, however, to the right of holders of
Original Capital Securities to withdraw their tendered Original Capital
Securities as described under "--Withdrawal Rights," and (iv) to waive any
condition or otherwise amend the terms of the Exchange Offer in any respect.
If the Exchange Offer is amended in a manner determined by Greater Bay and the
Trust to constitute a material change, or if Greater Bay and the Trust waive a
material condition of the Exchange Offer, Greater Bay and the Trust will
promptly disclose such amendment by means of a prospectus supplement that will
be distributed to the holders of the Original Capital Securities, and Greater
Bay and the Trust will extend the Exchange Offer to the extent required by
Rule 14e-1 under the Exchange Act.
 
                                      36
<PAGE>
 
  Any such delay in acceptance, extension, termination or amendment will be
followed promptly by oral or written notice thereof to the Exchange Agent and
by making a public announcement thereof, and such announcement in the case of
an extension will be made no later than 9:00 a.m.,       time, on the next
Business Day after the previously scheduled Expiration Date. Without limiting
the manner in which Greater Bay and the Trust may choose to make any public
announcement and subject to applicable laws, Greater Bay and the Trust shall
have no obligation to publish, advertise or otherwise communicate any such
public announcement other than by issuing a release to an appropriate news
agency.
 
ACCEPTANCE FOR EXCHANGE AND ISSUANCE OF EXCHANGE CAPITAL SECURITIES
 
  Upon the terms and subject to the conditions of the Exchange Offer, the
Trust will exchange, and will issue to the Exchange Agent, Exchange Capital
Securities for Original Capital Securities validly tendered and not withdrawn
promptly after the Expiration Date.
 
  In all cases, delivery of Exchange Capital Securities in exchange for
Original Capital Securities tendered and accepted for exchange pursuant to the
Exchange Offer will be made only after timely receipt by the Exchange Agent of
(i) the book-entry confirmation described below under "--Procedures for
Tendering Original Capital Securities--Book-Entry Transfer" or (ii)
certificates representing such Original Capital Securities, the Letter of
Transmittal (or facsimile thereof), properly completed and duly executed, with
any required signature guarantees, and any other documents required by the
Letter of Transmittal.
 
  Subject to the terms and conditions of the Exchange Offer, the Trust will be
deemed to have accepted for exchange, and thereby exchanged, Original Capital
Securities validly tendered and not withdrawn as, if and when the Trust gives
oral or written notice to the Exchange Agent (any such oral notice to be
promptly confirmed in writing) of the Trust's acceptance of such Original
Capital Securities for exchange pursuant to the Exchange Offer. The Exchange
Agent will act as agent for the Trust for the purpose of receiving tenders of
book-entry confirmations or certificates representing Original Capital
Securities, Letters of Transmittal and related documents, and as agent for
tendering holders for the purpose of receiving book-entry confirmations or
certificates representing Original Capital Securities, Letters of Transmittal
and related documents and transmitting Exchange Capital Securities to validly
tendered holders. Such exchange will be made promptly after the Expiration
Date. If for any reason whatsoever, acceptance for exchange or the exchange of
any Original Capital Securities tendered pursuant to the Exchange Offer is
delayed (whether before or after the Trust's acceptance for exchange of
Original Capital Securities) or the Trust extends the Exchange Offer or is
unable to accept for exchange or exchange Original Capital Securities tendered
pursuant to the Exchange Offer, then, without prejudice to the Trust's rights
set forth herein, the Exchange Agent may, nevertheless, on behalf of the Trust
and subject to Rule14e-1(c) under the Exchange Act, retain tendered Original
Capital Securities and such Original Capital Securities may not be withdrawn
except to the extenttendering holders are entitled to withdrawal rights as
described under "--Withdrawal Rights."
 
  Pursuant to the Letter of Transmittal, a holder of Original Capital
Securities will warrant and agree that it has full power and authority to
tender, exchange, sell, assign and transfer Original Capital Securities, that
the Trust will acquire good, marketable and unencumbered title to the tendered
Original Capital Securities, free and clear of all liens, restrictions,
charges and encumbrances, and the Original Capital Securities tendered for
exchange are not subject to any adverse claims or proxies. The holder also
will warrant and agree that it will, upon request, execute and deliver any
additional documents deemed by the Trust or the Exchange Agent to be necessary
or desirable to complete the exchange, sale, assignment, and transfer of the
Original Capital Securities tendered pursuant to the Exchange Offer. Tendering
holders of Original Capital Securities that use ATOP will, by doing so,
acknowledge that they are bound by the terms of the Letter of Transmittal.
 
PROCEDURES FOR TENDERING ORIGINAL CAPITAL SECURITIES
 
 Valid Tender
 
  Except as set forth herein, in order for Original Capital Securities to be
validly tendered pursuant to the Exchange Offer, a properly completed and duly
executed Letter of Transmittal (or facsimile thereof), with any
 
                                      37
<PAGE>
 
required signature guarantees and any other required documents, must be
received by the Exchange Agent at its address set forth under "--Exchange
Agent," and either (i) tendered Original Capital Securities must be received
by the Exchange Agent, or (ii) such Original Capital Securities must be
tendered pursuant to the procedures for book-entry transfer set forth herein
and a book-entry confirmation must be received by the Exchange Agent, in each
case on or prior to the Expiration Date, or (iii) the guaranteed delivery
procedures set forth herein must be complied with.
 
  If less than all of the Original Capital Securities are tendered, a
tendering holder should fill in the amount of Original Capital Securities
being tendered in the appropriate box on the Letter of Transmittal or so
indicate in an Agent's Message in lieu of the Letter of Transmittal. The
entire amount of Original Capital Securities delivered to the Exchange Agent
will be deemed to have been tendered unless otherwise indicated.
 
  THE METHOD OF DELIVERY OF THE BOOK-ENTRY CONFIRMATIONS OR CERTIFICATES, THE
LETTER OF TRANSMITTAL AND ALL OTHER REQUIRED DOCUMENTS IS AT THE OPTION AND
SOLE RISK OF THE TENDERING HOLDER, AND DELIVERY WILL BE DEEMED MADE ONLY WHEN
ACTUALLY RECEIVED BY THE EXCHANGE AGENT. IF DELIVERY IS BY MAIL, REGISTERED
MAIL, RETURN RECEIPT REQUESTED, PROPERLY INSURED, OR AN OVERNIGHT DELIVERY
SERVICE IS RECOMMENDED. IN ALL CASES, SUFFICIENT TIME SHOULD BE ALLOWED TO
ENSURE TIMELY DELIVERY.
 
 Book-Entry Transfer
 
  For purposes of the Exchange Offer, the Exchange Agent will establish an
account with respect to the Original Capital Securities at DTC within two
Business Days after the date of this Prospectus. Any tendering financial
institution that is a participant in DTC's book-entry transfer facility system
must make a book-entry delivery of the Original Capital Securities by causing
DTC to transfer such Original Capital Securities into the Exchange Agent's
account at DTC in accordance with DTC's ATOP procedures for transfers. Such
holder of Original Capital Securities using ATOP should transmit its
acceptance to DTC on or prior to the Expiration Date (or comply with the
guaranteed delivery procedures set forth below). DTC will verify such
acceptance, execute a book-entry transfer of the tendered Original Capital
Securities into the Exchange Agent's account at DTC and then send to the
Exchange Agent confirmation of such book-entry transfer, including an agent's
message confirming that DTC has received an express acknowledgment from such
holder that such holder has received and agrees to be bound by the Letter of
Transmittal and that the Trust and Greater Bay may enforce the Letter of
Transmittal against such holder (a "book-entry confirmation").
 
  A beneficial owner of Original Capital Securities that are held by or
registered in the name of a broker, dealer, commercial bank, trust company or
other nominee or custodian is urged to contact such entity promptly if such
beneficial owner wishes to participate in the Exchange Offer.
 
 Certificates
 
  If the tender is not made through ATOP, certificates representing Original
Capital Securities, as well as the Letter of Transmittal (or facsimile
thereof), properly completed and duly executed, with any required signature
guarantees, and any other required documents required by the Letter of
Transmittal, must be received by the Exchange Agent at its address set forth
under "--Exchange Agent" on or prior to the Expiration Date in order for such
tender to be effective (or the guaranteed delivery procedure set forth herein
must be complied with).
 
  If less than all of the Original Capital Securities are tendered, a
tendering holder should fill in the amount of Original Capital Securities
being tendered in the appropriate box on the Letter of Transmittal. The entire
amount of Original Capital Securities delivered to the Exchange Agent will be
deemed to have been tendered unless otherwise indicated.
 
                                      38
<PAGE>
 
 Signature Guarantees
 
  Certificates for the Original Capital Securities need not be endorsed and
signature guarantees on the Letter of Transmittal are unnecessary unless (i) a
certificate for the Original Capital Securities is registered in a name other
than that of the person surrendering the certificate or (ii) holder completes
the box entitled "Special Issuance Instructions" or "Special Delivery
Instructions" in the Letter of Transmittal. In the case of (i) or (ii) above,
such certificates for Original Capital Securities must be duly endorsed or
accompanied by a properly executed bond power, with the endorsement or
signature on the bond power and on the Letter of Transmittal guaranteed by a
firm or other entity identified in Rule 17Ad-15 under the Exchange Act as an
"eligible guarantor institution," including (as such terms are defined
therein): (a) a bank; (b) a broker, dealer, municipal securities broker or
dealer or government securities broker or dealer; (c) a credit union; (d) a
national securities exchange, registered securities association or clearing
agency; or (e) a savings association that is a participant in a Securities
Transfer Association (an "Eligible Institution"), unless surrendered on behalf
of such Eligible Institution. See Instruction 1 to the Letter of Transmittal.
 
 Delivery
 
  The method of delivery of the book-entry confirmation or certificates
representing tendered Original Capital Securities, the Letter of Transmittal,
and all other required documents is at the option and sole risk of the
tendering holder, and delivery will be deemed made only when actually received
by the Exchange Agent. If delivery is by mail, registered mail, return receipt
requested, properly insured, or an overnight delivery service is recommended.
In all cases, sufficient time should be allowed to ensure timely delivery.
 
  Notwithstanding any other provision hereof, the delivery of Exchange Capital
Securities in exchange for Original Capital Securities tendered and accepted
for exchange pursuant to the Exchange Offer will in all cases be made only
after timely receipt by the Exchange Agent of (i) a book-entry confirmation
with respect to such Original Capital Securities or (ii) certificates
representing Original Capital Securities and a properly completed and duly
executed Letter of Transmittal (or facsimile thereof), together with any
required signature guarantees and any other documents required by the Letter
of Transmittal. Accordingly, the delivery of Exchange Capital Securities might
not be made to all tendering holders at the same time, and will depend upon
when book-entry confirmations with respect to Original Capital Securities or
certificates representing Original Capital Securities and other required
documents are received by the Exchange Agent.
 
DELIVERY OF DOCUMENTS TO DTC IN ACCORDANCE WITH DTC'S PROCEDURES DOES NOT
CONSTITUTE DELIVERY TO THE EXCHANGE AGENT
 
 Guaranteed Delivery
 
  If a holder desires to tender Original Capital Securities pursuant to the
Exchange Offer and the certificates for such Original Capital Securities are
not immediately available or time will not permit all required documents to
reach the Exchange Agent on or prior to the Expiration Date, or the procedure
for book-entry transfer cannot be completed on a timely basis, such Original
Capital Securities may nevertheless be tendered, provided that all of the
following guaranteed delivery procedures are complied with:
 
    (i) such tenders are made by or through an Eligible Institution;
 
    (ii)  properly completed and duly executed notice to the Exchange Agent
  guaranteeing delivery to the Exchange Agent of either certificates
  representing Original Capital Securities or a book-entry confirmation in
  compliance with the requirements set forth herein (the "Notice of
  Guaranteed Delivery"), substantially in the form accompanying the Letter of
  Transmittal, is received by the Exchange Agent, as provided herein, on or
  prior to Expiration Date; and
 
    (iii) a book-entry confirmation or the certificates representing all
  tendered Original Capital Securities, in proper form for transfer, together
  with a properly completed and duly executed Letter of Transmittal (or
  facsimile thereof), with any required signature guarantees and any other
  documents required by the Letter of Transmittal, are, in any case, received
  by the Exchange Agent within three New York Stock Exchange trading days
  after the date of execution of such Notice of Guaranteed Delivery.
 
                                      39
<PAGE>
 
  The Notice of Guaranteed Delivery may be delivered by hand, or transmitted
by facsimile or mail to the Exchange Agent and must include a guarantee by an
Eligible Institution in the form set forth in such notice.
 
  The Trust's acceptance for exchange of Original Capital Securities tendered
pursuant to any of the procedures described above will constitute a binding
agreement between the tendering holder and the Trust upon the terms and
subject to the conditions of the Exchange Offer.
 
 Determination of Validity
 
  All questions as to the form of documents, validity, eligibility (including
time of receipt) and acceptance for exchange of any tendered Original Capital
Securities will be determined by Greater Bay and the Trust, in their sole
discretion, whose determination shall be final and binding on all parties.
Greater Bay and the Trust reserve the absolute right, in their sole and
absolute discretion, to reject any and all tenders determined by them not to
be in proper form or the acceptance of which, or exchange for, may, in the
opinion of counsel to Greater Bay and the Trust, be unlawful. Greater Bay and
the Trust also reserve the absolute right, subject to applicable law, to waive
any of the conditions of the Exchange Offer as set forth under "--Conditions
to the Exchange Offer" or any condition or irregularity in any tender of
Original Capital Securities of any particular holder whether or not similar
conditions or irregularities are waived in the case of other holders.
 
  The interpretation by Greater Bay and the Trust of the terms and conditions
of the Exchange Offer (including the Letter of Transmittal and the
instructions thereto) will be final and binding. No tender of Original Capital
Securities will be deemed to have been validly made until all irregularities
with respect to such tender have been cured or waived. None of Greater Bay,
the Trust, any affiliates or assigns of Greater Bay or the Trust, the Exchange
Agent or any other person shall be under any duty to give any notification of
any irregularities in tenders or incur any liability for failure to give any
such notification.
 
  If any Letter of Transmittal, endorsement, bond power, power of attorney, or
any other document required by the Letter of Transmittal is signed by a
trustee, executor, administrator, guardian, attorney-in-fact, officer of a
corporation or other person acting in a fiduciary or representative capacity,
such person should so indicate when signing, and unless waived by Greater Bay
and the Trust, proper evidence satisfactory to Greater Bay and the Trust, in
their sole discretion, of such person's authority to so act must be submitted.
 
RESALES OF EXCHANGE CAPITAL SECURITIES
 
  The Trust is making the Exchange Offer for the Exchange Capital Securities
in reliance on the position of the Staff of the Commission as set forth in
certain interpretive letters addressed to third parties in other transactions.
However, neither Greater Bay nor the Trust sought its own interpretive letter
and there can be no assurance that the Staff of the Commission would make a
similar determination with respect to the Exchange Offer as it has in such
interpretive letters to third parties. Based on these interpretations by the
Staff of the Commission, and subject to the two immediately following
sentences, Greater Bay and the Trust believe that Exchange Capital Securities
issued pursuant to this Exchange Offer in exchange for Original Capital
Securities may be offered for resale, resold and otherwise transferred by a
holder thereof (other than a holder who is a broker-dealer) without further
compliance with the registration and prospectus delivery requirements of the
Securities Act, provided that such Exchange Capital Securities are acquired in
the ordinary course of such holder's business and that such holder is not
participating, and has no arrangement or understanding with any person to
participate, in a distribution (within the meaning of the Securities Act) of
such Exchange Capital Securities. However, any holder of Original Capital
Securities who is an "affiliate" of Greater Bay or the Trust or who intends to
participate in the Exchange Offer for the purpose of distributing Exchange
Capital Securities, or any broker-dealer who purchased Original Capital
Securities from the Trust to resell pursuant to Rule144A or any other
available exemption under the Securities Act, (i) will not be able to rely on
the interpretations of the Staff of the Commission set forth in the above-
mentioned interpretive letters, (ii) will not be permitted or entitled to
tender such Original Capital Securities in the Exchange Offer and (iii) must
comply with the registration and prospectus delivery requirements of the
Securities Act in connection with any sale or other transfer of such
 
                                      40
<PAGE>
 
Original Capital Securities unless such sale is made pursuant to an exemption
from such requirements. In addition, as described herein, if any broker-dealer
holds Original Capital Securities acquired for its own account as a result of
market-making or other trading activities and exchanges such Original Capital
Securities for Exchange Capital Securities, then such broker-dealer must
deliver a prospectus meeting the requirements of the Securities Act in
connection with any resales of such Exchange Capital Securities.
 
  Each holder of Original Capital Securities who wishes to exchange Original
Capital Securities for Exchange Capital Securities in the Exchange Offer will
be required to represent that (i) it is not an "affiliate" of Greater Bay or
the Trust, (ii) any Exchange Capital Securities to be received by it are being
acquired in the ordinary course of its business, (iii) it has no arrangement
or understanding with any person to participate in a distribution (within the
meaning of the Securities Act) of such Exchange Capital Securities, and (iv)
if such holder is not a broker-dealer, such holder is not engaged in, and does
not intend to engage in, a distribution (within the meaning of the Securities
Act) of such Exchange Capital Securities. In addition, Greater Bay and the
Trust may require such holder, as a condition to such holder's eligibility to
participate in the Exchange Offer, to furnish to Greater Bay and the Trust (or
an agent thereof) in writing information as to the number of "beneficial
owners" (within the meaning of Rule 13d-3 under the Exchange Act) on behalf of
whom such holder holds the Original Capital Securities to be exchanged in the
Exchange Offer. Each broker-dealer that receives Exchange Capital Securities
for its own account pursuant to the Exchange Offer must acknowledge that it
acquired the Original Capital Securities for its own account as the result of
market-making activities or other trading activities and must agree that it
will deliver a prospectus meeting the requirements of the Securities Act in
connection with any resale of such Exchange Capital Securities. The Letter of
Transmittal states that by so acknowledging and by delivering a prospectus, a
broker-dealer will not be deemed to admit that it is an "underwriter" within
the meaning of the Securities Act. Based on the position taken by the Staff of
the Commission in the interpretive letters referred to above, Greater Bay and
the Trust believe that Participating Broker-Dealers who acquired Original
Capital Securities for their own accounts as a result of market-making
activities or other trading activities may fulfill their prospectus delivery
requirements with respect to the Exchange Capital Securities received upon
exchange of such Original Capital Securities (other than Original Capital
Securities which represent an unsold allotment from the initial sale of the
Original Capital Securities) with a prospectus meeting the requirements of the
Securities Act, which may be the prospectus prepared for an exchange offer so
long as it contains a description of the plan of distribution with respect to
the resale of such Exchange Capital Securities. Accordingly, this Prospectus,
as it may be amended or supplemented from time to time, may be used by a
Participating Broker-Dealer during the period referred to below in connection
with resales of Exchange Capital Securities received in exchange for Original
Capital Securities where such Original Capital Securities were acquired by
such Participating Broker-Dealer for its own account as a result of market-
making or other trading activities. Subject to certain provisions set forth in
the Registration Rights Agreement, Greater Bay and the Trust have agreed that
this Prospectus, as it may be amended or supplemented from time to time, may
be used by a Participating Broker-Dealer in connection with resales of such
Exchange Capital Securities for a period ending 90 days after the Expiration
Date (subject to extension under certain limited circumstances described
herein) or, if earlier, when all such Exchange Capital Securities have been
disposed of by such Participating Broker-Dealer. See "Plan of Distribution."
However, a Participating Broker-Dealer who intends to use this Prospectus in
connection with the resale of Exchange Capital Securities received in exchange
for Original Capital Securities pursuant to the Exchange Offer must notify
Greater Bay or the Trust, or cause Greater Bay or the Trust to be notified, on
or prior to the Expiration Date, that it is a Participating Broker-Dealer.
Such notice may be given in the space provided for that purpose in the Letter
of Transmittal or may be delivered to the Exchange Agent at its address set
forth herein under "--Exchange Agent." Any Participating Broker-Dealer who is
an "affiliate" of Greater Bay or the Trust may not rely on such interpretive
letters and must comply with the registration and prospectus delivery
requirements of the Securities Act in connection with any resale transaction.
 
  In that regard, each Participating Broker-Dealer who surrenders Original
Capital Securities pursuant to the Exchange Offer will be deemed to have
agreed, by execution of the Letter of Transmittal, that upon receipt of notice
from Greater Bay or the Trust of the occurrence of any event or the discovery
of (i) any fact that makes any statement contained or incorporated by
reference in this Prospectus untrue in any material respect or (ii) any
 
                                      41
<PAGE>
 
fact that causes this Prospectus to omit to state a material fact necessary in
order to make the statements contained or incorporated by reference herein, in
light of the circumstances under which they were made, not misleading, or
(iii) of the occurrence of certain other events specified in the Registration
Rights Agreement, such Participating Broker-Dealer will suspend the sale of
Exchange Capital Securities (or the Exchange Guarantee or the Exchange Junior
Subordinated Debentures, as applicable) pursuant to this Prospectus until
Greater Bay or the Trust has amended or supplemented this Prospectus to
correct such misstatement or omission and has furnished copies of the amended
or supplemented Prospectus to such Participating Broker-Dealer, or Greater Bay
or the Trust has given notice that the sale of the Exchange Capital Securities
(or the Exchange Guarantee or the Exchange Junior Subordinated Debentures, as
applicable) may be resumed, as the case may be. If Greater Bay or the Trust
gives such notice to suspend the sale of the Exchange Capital Securities (or
the Exchange Guarantee or the Exchange Junior Subordinated Debentures, as
applicable), it shall extend the 90-day period referred to above during which
Participating Broker-Dealers are entitled to use this Prospectus in connection
with the resale of Exchange Capital Securities by the number of days during
the period from and including the date of the giving of such notice to and
including the date when Participating Broker-Dealers shall have received
copies of the amended or supplemented Prospectus necessary to permit resales
of the Exchange Capital Securities or to and including the date on which
Greater Bay or the Trust has given notice that the sale of Exchange Capital
Securities (or the Exchange Guarantee or the Exchange Junior Subordinated
Debentures, as applicable) may be resumed, as the case may be.
 
WITHDRAWAL RIGHTS
 
  Except as otherwise provided herein, tenders of Original Capital Securities
may be withdrawn at any time on or prior to the Expiration Date.
 
  In order for a withdrawal to be effective a written, telegraphic or
facsimile transmission of such notice of withdrawal must be timely received by
the Exchange Agent at its address set forth under "--Exchange Agent" on or
prior to the Expiration Date. Any such notice of withdrawal must specify the
name of the person who tendered the Original Capital Securities to be
withdrawn, the aggregate principal amount of Original Capital Securities to be
withdrawn, and (if certificates for such Original Capital Securities have been
tendered) the name of the registered holder of the Original Capital Securities
as set forth on the such certificates if different from that of the person who
tendered such Original Capital Securities. If certificates representing
Original Capital Securities have been delivered or otherwise identified to the
Exchange Agent, then prior to the physical release of such certificates, the
tendering holder must submit the serial numbers shown on the particular
certificates to be withdrawn and the signature on the notice of withdrawal
must be guaranteed by an Eligible Institution, except in the case of Original
Capital Securities tendered for the account of an Eligible Institution. If
Original Capital Securities have been tendered pursuant to the procedures for
book-entry transfer set forth in "--Procedures for Tendering Original Capital
Securities--Book-Entry Transfer," the notice of withdrawal must specify the
name and number of the account at DTC to be credited with the withdrawal of
Original Capital Securities. Withdrawals of tenders of Original Capital
Securities may not be rescinded. Original Capital Securities properly
withdrawn will not be deemed validly tendered for purposes of the Exchange
Offer, but may be retendered at any subsequent time on or prior to the
Expiration Date by following any of the procedures described above under "--
Procedures for Tendering Original Capital Securities."
 
  All questions as to the validity, form and eligibility (including time of
receipt) of such withdrawal notices will be determined by the Trust, in its
sole discretion, whose determination shall be final and binding on all
parties. None of Greater Bay, the Trust, any affiliates or assigns of Greater
Bay or the Trust, the Exchange Agent or any other person shall be under any
duty to give any notification of any irregularities in any notice of
withdrawal or incur any liability for failure to give any such notification.
Any Original Capital Securities that have been tendered but are withdrawn will
be returned to the holder thereof promptly after withdrawal.
 
                                      42
<PAGE>
 
DISTRIBUTIONS ON THE EXCHANGE CAPITAL SECURITIES
 
  Holders of the Capital Securities will be entitled to receive cumulative
Distributions arising from the payment of interest on the Junior Subordinated
Debentures, accumulating from August 12, 1998, and payable quarterly in
arrears on each Interest Payment Date (as defined herein), commencing on
December 15, 1998. The record dates will be the first day of the month in
which the relevant payment occurs. In the event the Exchange Offer is
consummated prior to the first record date, December 1, 1998, each Exchange
Capital Security will pay cumulative Distributions from and after August 12,
1998. However, in the event the Exchange Offer is consummated after December
1, 1998, Distributions will be paid on the Original Capital Securities
accumulated from and after August 12, 1998 through December 15, 1998, and the
Exchange Capital Securities then will pay Distributions and from and after
December 15, 1998. The amount of each Distribution with respect to Capital
Securities will include amounts accrued to, but excluding the date the
Distribution is due. Because of the foregoing procedures regarding
Distributions, the amount of the Distributions received by holders whose
Original Capital Securities are accepted for exchange will not be affected by
the exchange.
 
CONDITIONS TO THE EXCHANGE OFFER
 
  Notwithstanding any other provisions of the Exchange Offer, or any extension
of the Exchange Offer, Greater Bay and the Trust will not be required to
accept for exchange, or to exchange, any Original Capital Securities for any
Exchange Capital Securities, and, as described herein, may terminate the
Exchange Offer (whether or not any Original Capital Securities have
theretofore been accepted for exchange) or may waive any conditions to or
amend the Exchange Offer, if any of the following conditions have occurred or
exists or have not been satisfied:
 
    (i) there shall occur a change in the current interpretation by the Staff
  of the Commission that permits the Exchange Capital Securities issued
  pursuant to the Exchange Offer in exchange for Original Capital Securities
  to be offered for resale, resold and otherwise transferred by holders
  thereof (other than broker-dealers and any such holder that is an
  "affiliate" of Greater Bay or the Trust within the meaning of Rule 405
  under the Securities Act) without compliance with the registration and
  prospectus delivery provisions of the Securities Act, provided that such
  Exchange Capital Securities are acquired in the ordinary course of such
  holders' business and such holders have no arrangement or understanding
  with any person to participate in the distribution of such Exchange Capital
  Securities; or
 
    (ii) any law, statute, rule or regulation shall have been adopted or
  enacted which, in the judgment of Company or the Trust, would reasonably be
  expected to impair its ability to proceed with the Exchange Offer; or
 
    (iii) a stop order shall have been issued by the Commission or any state
  securities authority suspending the effectiveness of the Registration
  Statement, or proceedings shall have been initiated or, to the knowledge of
  Greater Bay or the Trust, threatened for that purpose, or any governmental
  approval has not been obtained, which approval Greater Bay or the Trust
  shall, in its sole discretion, deem necessary for the consummation of the
  Exchange Offer as contemplated hereby; or
 
    (iv) Greater Bay determines in good faith that there is a reasonable
  likelihood that, or a material uncertainty exists as to whether,
  consummation of the Exchange Offer would result in an adverse tax
  consequence to the Trust or Greater Bay.
 
  If Greater Bay or the Trust determine in its sole and absolute discretion
that any of the foregoing events or conditions has occurred or exists or has
not been satisfied, it may, subject to applicable law, terminate the Exchange
Offer (whether or not any Original Capital Securities have theretofore been
accepted for exchange) or may waive any such condition or otherwise amend the
terms of the Exchange Offer in any respect. If such waiver or amendment
constitutes a material change to the Exchange Offer, Greater Bay or the Trust
will promptly disclose such waiver or amendment by means of a prospectus
supplement that will be distributed to the registered holders of the Original
Capital Securities and will extend the Exchange Offer to the extent required
by Rule 14e-1 under the Exchange Act.
 
                                      43
<PAGE>
 
EXCHANGE AGENT
 
  Wilmington Trust Company has been appointed as Exchange Agent for the
Exchange Offer. Delivery of the Letters of Transmittal and any other required
documents, questions, requests for assistance, and requests for additional
copies of this Prospectus or of the Letter of Transmittal should be directed
to the Exchange Agent as follows:
 
          BY HAND, OVERNIGHT DELIVERY, REGISTERED OR CERTIFIED MAIL:
                           Wilmington Trust Company
                              Rodney Square North
                           1100 North Market Street
                        Wilmington, Delaware 19890-0001
 
                     Attention: Corporate Trust Department
 
                     Confirm by Telephone: (302) 651-1079
 
                    Facsimile Transmissions: (302) 651-1562
                         (ELIGIBLE INSTITUTIONS ONLY)
 
  Delivery to other than the above address or facsimile number will not
constitute a valid delivery.
 
FEES AND EXPENSES
 
  Greater Bay has agreed to pay the Exchange Agent reasonable and customary
fees for its services and will reimburse it for its reasonable out-of-pocket
expenses in connection therewith. Greater Bay will also pay brokerage houses
and other custodians, nominees and fiduciaries the reasonable out-of-pocket
expenses incurred by them in forwarding copies of this Prospectus and related
documents to the beneficial owners of Original Capital Securities, and in
handling or tendering for their clients.
 
  Holders who tender their Original Capital Securities for exchange will not
be obligated to pay any transfer taxes in connection therewith. If, however,
Exchange Capital Securities are to be delivered to, or are to be issued in the
name of, any person other than the registered holder of the Original Capital
Securities tendered, or if a transfer tax is imposed for any reason other than
the exchange of Original Capital Securities in connection with the Exchange
Offer, then the amount of any such transfer taxes (whether imposed on the
registered holder or any other persons) will be payable by the tendering
holder. If satisfactory evidence of payment of such taxes or exemption
therefrom is not submitted with the Letter of Transmittal, the amount of such
transfer taxes will be billed directly to such tendering holder.
 
  Neither Greater Bay nor the Trust will make any payment to brokers, dealers
or others soliciting acceptances of the Exchange Offer.
 
  The Registration Rights Agreement is governed by, and construed in
accordance with, the laws of the State of New York. The summary herein of
certain provisions of the Registration Rights Agreement does not purport to be
complete and is subject to, and is qualified in its entirety by reference to,
all the provisions of the Registration Rights Agreement, a form of which is
available upon request to Greater Bay. See "Information Delivered and
Incorporated by Reference." In addition, the information set forth above
concerning certain interpretations of and positions taken by the Staff of the
Commission is not intended to constitute legal advice, and prospective
investors should consult their own legal advisors with respect to such
matters.
 
 
                                      44
<PAGE>
 
                      DESCRIPTION OF EXCHANGE SECURITIES
 
                  DESCRIPTION OF EXCHANGE CAPITAL SECURITIES
 
  Pursuant to the terms of the Trust Agreement, the Issuer Trustees on behalf
of the Trust will issue the Exchange Capital Securities. The Exchange Capital
Securities will represent beneficial interests in the Trust and the holders
thereof will be entitled to a preference over the Common Securities in certain
circumstances with respect to Distributions and amounts payable on redemption
of the Trust Securities or liquidation of the Trust. See "--Subordination of
Common Securities." The Trust Agreement has been qualified under the Trust
Indenture Act of 1939, as amended (the "Trust Indenture Act"). This summary of
certain provisions of the Exchange Capital Securities, the Common Securities
and the Trust Agreement does not purport to be complete and is subject to, and
is qualified in its entirety by reference to, all the provisions of the Trust
Agreement, including the definitions therein of certain terms.
 
GENERAL
 
  The Exchange Capital Securities will be limited to $30,000,000 aggregate
Liquidation Amount at any one time outstanding. The Exchange Capital
Securities will rank pari passu, and payments will be made thereon pro rata,
with the Common Securities except as described under "--Subordination of
Common Securities." Legal title to the Exchange Junior Subordinated Debentures
will be held by the Property Trustee on behalf of the Trust in trust for the
benefit of the holders of the Trust Securities. The Exchange Guarantee will
not guarantee payment of Distributions or amounts payable on redemption of the
Exchange Capital Securities or liquidation of the Trust when the Trust does
not have funds legally available for such payments. See "--Description of
Exchange Guarantee."
 
DISTRIBUTIONS
 
  Holders of the Capital Securities will be entitled to receive cumulative
Distributions arising from the payment of interest on the Junior Subordinated
Debentures, accumulating from August 12, 1998, and payable quarterly in
arrears on March 15, June 15, September 15 and December 15 of each year,
commencing on December 15, 1998. The record dates will be the first day of the
month in which the relevant payment occurs. In the event the Exchange Offer is
consummated prior to the first record date, December 1, 1998, each Exchange
Capital Security will pay cumulative Distributions from and after August 12,
1998. However, in the event the Exchange Offer is consummated after December
1, 1998, Distributions will be paid on the Original Capital Securities
accumulated from and after August 12, 1998 through December 15, 1998, and the
Exchange Capital Securities then will pay Distributions and from and after
December 15, 1998. The amount of each Distribution with respect to Exchange
Capital Securities will include amounts accrued to, but excluding the date the
Distribution is due. Because of the foregoing procedures regarding
Distributions, the amount of the Distributions received by holders whose
Original Capital Securities are accepted for exchange will not be affected by
the exchange. The amount of Distributions payable for any period will be
computed on the basis of the actual number of days elapsed in such period and
a 360-day year. In the event that any date on which Distributions are payable
on the Exchange Capital Securities is not a Business Day (as defined below),
payment of the Distribution payable on such date will be made on the next
succeeding day that is a Business Day (and without any interest or other
payment in respect to any such delay), except that if such next succeeding
Business Day falls in the next succeeding calendar month, such payment shall
be made on the immediately preceding Business Day, in each case with the same
force and effect as if made on such date (each date on which Distributions are
payable in accordance with the foregoing, a "Distribution Date"). A "Business
Day" shall mean any day other than a Saturday or a Sunday or a day on which
banking institutions in New York, New York, San Francisco, California, or
Wilmington, Delaware are authorized or required by law or executive order to
remain closed.
 
  The Distribution Rate on the Exchange Capital Securities for each quarter or
other period for which Distributions are payable will be determined on the
Determination Date (as defined below) for such quarter or other period for
which Distributions are payable and will be a per annum rate, reset quarterly,
equal to 3-month LIBOR (determined as set forth below), plus 150 basis points,
and will be effective as of the first day of such quarter or other period for
which Distributions are payable.
 
                                      45
<PAGE>
 
DETERMINATION OF 3-MONTH LIBOR
 
  On each Determination Date, the Calculation Agent will calculate the
Distribution Rate, based on 3-month LIBOR, for the Distribution period
commencing on the second London Banking Day immediately following such
Determination Date. "3-month LIBOR" means, with respect to a Distribution
period relating to a Distribution Date, the London interbank offered rate for
three-month, Eurodollar deposits determined in the following order of
priority:
 
    (a) the rate (expressed as a percentage per annum) for Eurodollar
  deposits having a three-month maturity that appears on Telerate Page 3750
  as of 11:00 a.m. (London time) on the related Determination Date;
 
    (b) if such rate does not appear on Telerate Page 3750 as of 11:00 a.m.
  (London time) on the related Determination Date, 3-month LIBOR will be the
  arithmetic mean of the rates (expressed as percentages per annum) for
  Eurodollar deposits having a three-month maturity that appear on Reuters
  Monitor Money Rates Page LIBO ("Reuters Page LIBO") as of 11:00 a.m.
  (London time) on such Determination Date;
 
    (c) if such rate does not appear on Reuters Page LIBO as of 11:00 a.m.
  (London time) on the related Determination Date, the Calculation Agent will
  request the principal London offices of four leading banks in the London
  interbank market to provide such banks' offered quotations (expressed as
  percentages per annum) to prime banks in the London interbank market for
  Eurodollar deposits having a three-month maturity as of 11:00 a.m. (London
  time) on such Determination Date. If at least two quotations are provided,
  3-month LIBOR will be the arithmetic mean of such quotations;
 
    (d) if fewer than two such quotations are provided as requested in clause
  (c) above, the Calculation Agent will request four major New York City
  banks to provide such banks' offered quotations (expressed as percentages
  per annum) to leading European banks for loans in Eurodollars as of 11:00
  a.m. (London time) on such Determination Date. If at least two such
  quotations are provided, 3-month LIBOR will be the arithmetic mean of such
  quotations; and
 
    (e) if fewer than two such quotations are provided as requested in clause
  (d) above, 3-month LIBOR will be 3-month LIBOR determined with respect to
  the interest period immediately preceding such current interest period.
 
  If the rate for Eurodollar deposits having a three-month maturity that
initially appears on Telerate Page 3750 or Reuters Page LIBO, as the case may
be, as of 11:00 a.m. (London time) on the related Determination Date is
superseded on Telerate Page 3750 or Reuters Page LIBO, as the case may be, by
a corrected rate before 12:00 noon (London time) on such Determination Date,
the corrected rate as so substituted on the applicable page will be the
applicable 3-month LIBOR for such Determination Date.
 
  As used herein:
 
    "Calculation Agent" means Wilmington Trust Company.
 
    "Determination Date" means the date that is two London Banking Days
  preceding the first day of any period for which a Distribution will be
  payable.
 
    "London Banking Day" means a day on which dealings in deposits in U.S.
  dollars are transacted in the London interbank market.
 
    "Telerate Page 3750" means the display designated as "Page 3750" on the
  Dow Jones Telerate Service (or such other page as may replace Page 3750 on
  that service or such other service or services as may be nominated by the
  British Bankers' Association as the information vendor for the purpose of
  displaying London interbank offered rates for U.S. dollar deposits).
 
 
                                      46
<PAGE>
 
  All percentages resulting from any calculations on the Exchange Capital
Securities will be rounded, if necessary, to the nearest one hundred-
thousandth of a percentage point, with five one-millionths of a percentage
point rounded upward (e.g., 9.876545% (or .09876545) being rounded to 9.87655%
(or .0987655)), and all dollar amounts used in or resulting from such
calculation will be rounded to the nearest cent (with one-half cent being
rounded upward).
 
  On the Determination Date, the Calculation Agent shall notify Greater Bay
and the Paying Agent of the applicable Distribution Rate in effect for the
related Distribution period. The Calculation Agent shall, upon the request of
the holder of any Exchange Capital Securities, provide the Distribution Rate
then in effect. All calculations made by the Calculation Agent in the absence
of manifest error shall be conclusive for all purposes and binding on Greater
Bay and the holders of the Exchange Capital Securities.
 
OPTION TO EXTEND INTEREST PAYMENT DATE
 
  So long as no Debenture Event of Default shall have occurred and be
continuing, Greater Bay will have the right under the Indenture to elect to
defer the payment of interest on the Exchange Junior Subordinated Debentures,
at any time or from time to time, for a period not exceeding 20 consecutive
quarterly periods with respect to each Extension Period, provided that no
Extension Period shall end on a date other than an Interest Payment Date, or
extend beyond the Stated Maturity Date. Upon any such election, quarterly
Distributions on the Exchange Capital Securities will be deferred by the Trust
during such Extension Period. Distributions to which holders of the Exchange
Capital Securities are entitled during any such Extension Period will
accumulate additional Distributions thereon at the applicable periodic
Distribution Rate thereof, compounded quarterly from the relevant Distribution
Date, but not exceeding the interest rate then accruing on the Exchange Junior
Subordinated Debentures. The term "Distributions," as used herein, shall
include any such additional Distributions.
 
  Prior to the termination of any such Extension Period, Greater Bay may
further extend such Extension Period, provided that such extension does not
cause such Extension Period to exceed 20 consecutive quarterly periods, to end
on a date other than an Interest Payment Date or to extend beyond the Stated
Maturity Date. Upon the termination of any such Extension Period and the
payment of all amounts then due on any Interest Payment Date, Greater Bay may
elect to begin a new Extension Period, subject to the above requirements. No
interest shall be due and payable during an Extension Period, except at the
end thereof. Greater Bay must give the Property Trustee, the Administrative
Trustees and the Debenture Trustee notice of its election of any such
Extension Period (or an extension thereof) at least five Business Days prior
to the earlier of: (i) the date the Distributions on the Exchange Capital
Securities would have been payable except for the election to begin such
Extension Period; and (ii) the date the Administrative Trustees are required
to give notice to any securities exchange or automated quotation system or to
holders of such Exchange Capital Securities of the record date or the date
such Distributions are payable, but in any event not less than five Business
Days prior to such record date. There is no limitation on the number of times
that Greater Bay may elect to begin an Extension Period. See "Description of
Exchange Junior Subordinated Debentures--Option to Extend Interest Payment
Date" and "Certain Federal Income Tax Consequences--Interest Income and
Original Issue Discount."
 
  During any such Extension Period, Greater Bay may not: (i) declare or pay
any dividends or distributions on, or redeem, purchase, acquire, or make a
liquidation payment with respect to, any of Greater Bay's capital stock (which
includes common and preferred stock); (ii) make any payment of principal of or
premium, if any, on or repay, repurchase or redeem any debt securities of
Greater Bay (including Other Debentures) that rank pari passu with or junior
in right of payment to the Exchange Junior Subordinated Debentures; or (iii)
make any guarantee payments with respect to any guarantee by Greater Bay of
the debt securities of any subsidiary of Greater Bay (including Other
Guarantees) if such guarantee ranks pari passu with or junior in right of
payment to the Exchange Junior Subordinated Debentures (other than (a)
dividends or distributions in Greater Bay's capital stock (which includes
common and preferred stock), (b) any declaration of a dividend in connection
with the implementation of a stockholders' rights plan, or the issuance of
stock under any such plan in the future, or the redemption or repurchase of
any such rights pursuant thereto, (c) payments under the Exchange Guarantee,
 
                                      47
<PAGE>
 
(d) as a result of a reclassification of Greater Bay's capital stock or the
exchange or conversion of one class or series of Greater Bay's capital stock
for another class or series of Greater Bay's capital stock, (e) the purchase
of fractional interests in shares of Greater Bay's capital stock pursuant to
the conversion or exchange provisions of such capital stock or the security
being converted or exchanged and (f) purchases of common stock related to the
issuance of common stock or rights under any of Greater Bay's benefit plans
for its directors, officers or employees or any of Greater Bay's dividend
reinvestment plans). Greater Bay has no current intention to exercise its
right to defer payments of interest on the Exchange Junior Subordinated
Debentures.
 
  The revenue of the Trust available for distribution to holders of the
Exchange Capital Securities will be limited to payments under the Exchange
Junior Subordinated Debentures in which the Trust will invest the proceeds
from the issuance and sale of the Trust Securities. See "Description of
Exchange Junior Subordinated Debentures--General." If Greater Bay does not
make interest payments on the Exchange Junior Subordinated Debentures, the
Property Trustee will not have funds available to pay Distributions on the
Exchange Capital Securities. The payment of Distributions (if and to the
extent the Trust has funds on hand legally available for the payment of such
Distributions) will be guaranteed by Greater Bay on a limited basis as set
forth herein under "Description of Exchange Guarantee."
 
REDEMPTION
 
  Upon the repayment on the Stated Maturity Date or prepayment in whole or in
part prior to the Stated Maturity Date of the Junior Subordinated Debentures
(other than following the distribution of the Junior Subordinated Debentures
to the holders of the Trust Securities), the proceeds from such repayment or
prepayment shall be applied by the Property Trustee to redeem a Like Amount of
the Trust Securities, upon not less than 30 nor more than 60 days' notice of a
date of redemption (the "Redemption Date"), at the applicable Redemption
Price, which shall be equal to 100% of the corresponding principal amount of
Exchange Junior Subordinated Debentures so repaid or prepaid, as the case may
be, plus accrued and unpaid interest thereon to the date of redemption. See
"--Description of Exchange Junior Subordinated Debentures--Optional
Prepayment" and "--Special Event Prepayment." If less than all of the Exchange
Junior Subordinated Debentures are to be prepaid on a Redemption Date, then
the proceeds of such prepayment shall be allocated pro rata to the Trust
Securities.
 
  "Like Amount" means (i) with respect to a redemption of the Trust
Securities, Trust Securities having a Liquidation Amount equal to the
principal amount of Junior Subordinated Debentures to be paid in accordance
with their terms and (ii) with respect to a distribution of Junior
Subordinated Debentures upon the liquidation of the Trust, Junior Subordinated
Debentures having a principal amount equal to the Liquidation Amount of the
Trust Securities of the holder to whom such Exchange Junior Subordinated
Debentures are distributed.
 
  Greater Bay will have the option to prepay the Junior Subordinated
Debentures, (i) in whole or in part, on or after the Initial Optional
Redemption Date, and (ii) in whole but not in part, at any time prior to the
Initial Optional Redemption Date, upon the occurrence of a Special Event, at
the Prepayment Price, in each case subject to the receipt of any required
regulatory approval. See "--Description of Exchange Junior Subordinated
Debentures--Optional Prepayment" and "--Special Event Prepayment."
 
LIQUIDATION OF THE TRUST AND DISTRIBUTION OF EXCHANGE JUNIOR SUBORDINATED
DEBENTURES
 
  Greater Bay will have the right at any time to dissolution of the Trust and,
after satisfaction of liabilities to creditors of the Trust as required by
applicable law, to cause Junior Subordinated Debentures to be distributed to
the holders of the Trust Securities in liquidation of the Trust. Such right is
subject to (i) the Administrative Trustees having received an opinion of
counsel to the effect that such distribution will not cause the holders of
Exchange Capital Securities to recognize gain or loss for federal income tax
purposes and (ii) Greater Bay having received any required regulatory
approval.
 
  The Trust shall automatically dissolve upon the first to occur of: (i)
certain events of bankruptcy, dissolution or liquidation of Greater Bay; (ii)
the distribution of a Like Amount of the Exchange Junior Subordinated
 
                                      48
<PAGE>
 
Debentures to the holders of the Trust Securities, if Greater Bay, as Sponsor,
has given written direction to the Property Trustee to terminate the Trust
(which direction is optional and, except as described above, wholly within the
discretion of Greater Bay, as Sponsor); (iii) redemption of all of the Trust
Securities as described under "--Redemption;" (iv) expiration of the term of
the Trust; and (v) the entry of an order for the dissolution of the Trust by a
court of competent jurisdiction.
 
  If a dissolution occurs as described in clause (i), (ii), (iv), or (v)
above, the Trust shall be liquidated by the Issuer Trustees as expeditiously
as the Issuer Trustees determine to be possible by distributing, after
satisfaction of liabilities to creditors of the Trust as provided by
applicable law, to the holders of the Trust Securities a Like Amount of the
Exchange Junior Subordinated Debentures, unless such distribution is
determined by the Property Trustee not to be practicable, in which event such
holders will be entitled to receive out of the assets of the Trust legally
available for distribution to holders, after satisfaction of liabilities to
creditors of the Trust as provided by applicable law, an amount equal to the
aggregate of the Liquidation Amount plus accumulated and unpaid Distributions
thereon to the date of payment (such amount being the "Liquidation
Distribution"). If such Liquidation Distribution can be paid only in part
because the Trust has insufficient assets legally available to pay in full the
aggregate Liquidation Distribution, then the amounts payable directly by the
Trust on the Trust Securities shall be paid on a pro rata basis, except that
if a Debenture Event of Default has occurred and is continuing, the Exchange
Capital Securities shall have a priority over the Common Securities. See "--
Subordination of Common Securities." If an early dissolution occurs, the
Exchange Junior Subordinated Debentures will be subject to optional
prepayment, in whole or in part, on or after the Initial Optional Redemption
Date, unless such termination relates to the circumstances described in clause
(v) above, in which case the Exchange Junior Subordinated Debentures will be
subject to optional prepayment, in whole but not in part, on or after the
Initial Optional Redemption Date.
 
  After the liquidation date is fixed for any distribution of Exchange Junior
Subordinated Debentures to holders of the Trust Securities, (i) the Trust
Securities will no longer be deemed to be outstanding, (ii) DTC or its
nominee, will receive, in respect of each Global Capital Security held by it,
a registered global certificate representing the Exchange Junior Subordinated
Debentures to be delivered upon such distribution and (iii) any certificates
representing Trust Securities not held by DTC or its nominee will be deemed to
represent Exchange Junior Subordinated Debentures having a principal amount
equal to the Liquidation Amount of such Trust Securities, and bearing accrued
and unpaid interest in an amount equal to the accumulated and unpaid
Distributions on such Trust Securities until such certificates are presented
to the Administrative Trustees or their agent for cancellation, whereupon
Greater Bay will issue to such holder, and the Debenture Trustee will
authenticate, a certificate representing such Exchange Junior Subordinated
Debentures.
 
  There can be no assurance as to the market prices for the Exchange Capital
Securities or the Exchange Junior Subordinated Debentures that may be
distributed in exchange for the Trust Securities if a dissolution and
liquidation of the Trust were to occur. Accordingly, the Exchange Capital
Securities that an investor may purchase, or the Exchange Junior Subordinated
Debentures that the investor may receive on dissolution and liquidation of the
Trust, may trade at a discount to the price that the investor paid to purchase
the Exchange Capital Securities offered hereby.
 
REDEMPTION PROCEDURES
 
  If applicable, Trust Securities shall be redeemed at the applicable
Redemption Price with the proceeds from the contemporaneous repayment or
prepayment of the Junior Subordinated Debentures. Any redemption of Trust
Securities shall be made and the applicable Redemption Price shall be payable
on the Redemption Date only to the extent that the Trust has funds legally
available for the payment of such applicable Redemption Price. See "--
Subordination of Common Securities."
 
  If the Trust gives a notice of redemption for the Exchange Capital
Securities, then, by 12:00 noon, Eastern time, on the Redemption Date, to the
extent funds are legally available, with respect to the Exchange Capital
Securities held in global form by DTC or its nominees, the Property Trustee
will deposit or cause the Paying
 
                                      49
<PAGE>
 
Agent to deposit irrevocably with DTC funds sufficient to pay the applicable
Redemption Price. See "--Form, Denomination, Book-Entry Procedures and
Transfer." With respect to the Exchange Capital Securities held in
certificated form, the Property Trustee, to the extent funds are legally
available, will irrevocably deposit with the Paying Agent for the Exchange
Capital Securities funds sufficient to pay the applicable Redemption Price and
will give the Paying Agent irrevocable instructions and authority to pay the
applicable Redemption Price to the holders thereof upon surrender of their
certificates evidencing the Exchange Capital Securities. See "--Payment and
Paying Agency." Notwithstanding the foregoing, Distributions payable on or
prior to the Redemption Date shall be payable to the holders of such Exchange
Capital Securities on the relevant record dates for the related Distribution
Dates. If notice of redemption shall have been given and funds deposited as
required, then upon the date of such deposit, all rights of the holders of the
Exchange Capital Securities called for redemption will cease, except the right
of the holders of such Exchange Capital Securities to receive the applicable
Redemption Price, but without interest on such Redemption Price, and such
Exchange Capital Securities will cease to be outstanding. In the event that
any Redemption Date of Exchange Capital Securities is not a Business Day, then
the applicable Redemption Price payable on such date will be paid on the next
succeeding day that is a Business Day (and without any interest or other
payment in respect of any such delay), except that, if such next succeeding
Business Day falls in the next calendar year, such payment shall be made on
the immediately preceding Business Day. In the event that payment of the
applicable Redemption Price is improperly withheld or refused and not paid
either by the Trust or by Greater Bay pursuant to the Exchange Guarantee as
described under "--Description of Exchange Guarantee," (i) Distributions on
Exchange Capital Securities will continue to accumulate at the then-applicable
rate, from the Redemption Date originally established by the Trust to the date
such applicable Redemption Price is actually paid and (ii) the actual payment
date will be the Redemption Date for purposes of calculating the applicable
Redemption Price.
 
  Notice of any redemption will be mailed at least 30 days but not more than
60 days prior to the Redemption Date to each holder of Trust Securities at its
registered address. Unless Greater Bay defaults in payment of the applicable
Redemption Price on, or in the repayment of, the Exchange Junior Subordinated
Debentures, on and after the Redemption Date, Distributions will cease to
accrue on the Trust Securities called for redemption.
 
  Subject to applicable law (including, without limitation, United States
federal securities law), Greater Bay or its subsidiaries may at any time and
from time to time purchase outstanding Exchange Capital Securities by tender,
in the open market or by private agreement.
 
 
SUBORDINATION OF COMMON SECURITIES
 
  Payment of Distributions on, and the Redemption Price of, the Trust
Securities, as applicable, shall be made pro rata based on the Liquidation
Amount of the Trust Securities; provided, however, that if on any Distribution
Date or Redemption Date a Debenture Event of Default shall have occurred and
be continuing, no payment of any Distribution on, or applicable Redemption
Price of, any of the Common Securities, and no other payment on account of the
redemption, liquidation or other acquisition of the Common Securities, shall
be made unless payment in full in cash of all accumulated and unpaid
Distributions on all of the outstanding Capital Securities for all
Distribution periods terminating on or prior thereto, or in the case of
payment of the applicable Redemption Price the full amount of such Redemption
Price, shall have been made or provided for, and all funds available to the
Property Trustee shall first be applied to the payment in full in cash of all
Distributions on, or Redemption Price of, the Capital Securities then due and
payable.
 
  In the case of any Event of Default under the Trust Agreement, Greater Bay
as holder of the Common Securities will be deemed to have waived any right to
act with respect to such Event of Default until the effect of such Event of
Default shall have been cured, waived or otherwise eliminated. Until any such
Event of Default has been so cured, waived or otherwise eliminated, the
Property Trustee shall act solely on behalf of the holders of the Capital
Securities and not on behalf of Greater Bay as holder of the Common
Securities, and only the holders of the Capital Securities will have the right
to direct the Property Trustee to act on their behalf.
 
 
                                      50
<PAGE>
 
EVENTS OF DEFAULT; NOTICE
 
  The occurrence of a Debenture Event of Default constitutes an "Event of
Default" under the Trust Agreement. See "--Description of Exchange Junior
Subordinated Debentures--Debenture Events of Default."
 
  Within ten (10) Business Days after the occurrence of any Event of Default
actually known to the Property Trustee, the Property Trustee shall transmit
notice of such Event of Default to the holders of the Exchange Capital
Securities, the Administrative Trustees and Greater Bay, as Sponsor, unless
such Event of Default shall have been cured or waived. Greater Bay, as
Sponsor, and the Administrative Trustees are required to file annually with
the Property Trustee a certificate as to whether or not they are in compliance
with all the conditions and covenants applicable to them under the Trust
Agreement.
 
  If a Debenture Event of Default has occurred and is continuing, the Exchange
Capital Securities shall have a preference over the Common Securities as
described under "--Liquidation of the Trust and Distribution of Exchange
Junior Subordinated Debentures" and "--Subordination of Common Securities."
 
REMOVAL OF ISSUER TRUSTEES
 
  Unless a Debenture Event of Default shall have occurred and be continuing,
any Issuer Trustee may be removed at any time by the holder of the Common
Securities. If a Debenture Event of Default has occurred and is continuing,
the Property Trustee and the Delaware Trustee may be removed at such time by
the holders of a majority in Liquidation Amount of the outstanding Capital
Securities. In no event will the holders of the Exchange Capital Securities
have the right to vote to appoint, remove or replace the Administrative
Trustees, which voting rights are vested exclusively in Greater Bay as the
holder of the Common Securities. No resignation or removal of an Issuer
Trustee and no appointment of a successor trustee shall be effective until the
acceptance of appointment by the successor trustee in accordance with the
provisions of the Trust Agreement.
 
 
CO-TRUSTEES AND SEPARATE PROPERTY TRUSTEE
 
  Unless a Debenture Event of Default shall have occurred and be continuing,
at any time or times, for the purpose of meeting the legal requirements of the
Trust Indenture Act or of any jurisdiction in which any part of the Trust's
property may at any time be located, the Administrative Trustees shall have
power to appoint one or more persons either to act as a co-trustee, jointly
with the Property Trustee, of all or any part of such Trust's property, or to
act as separate trustee of any such property, in either case with such powers
as may be provided in the instrument of appointment, and to vest in such
person or persons in such capacity any property, title, right or power deemed
necessary or desirable, subject to the provisions of the Trust Agreement. In
case a Debenture Event of Default has occurred and is continuing, the Property
Trustee alone shall have the power to make any such appointment of a co-
trustee.
 
MERGER OR CONSOLIDATION OF ISSUER TRUSTEES
 
  Any Person into which the Property Trustee, the Delaware Trustee or any
Administrative Trustee that is not a natural person may be merged or converted
or with which it may be consolidated, or any Person resulting from any merger,
conversion or consolidation to which such Issuer Trustee shall be a party, or
any Person succeeding to all or substantially all the corporate trust business
of such Issuer Trustee, shall be the successor of such Issuer Trustee under
the Trust Agreement, provided such Person shall be otherwise qualified and
eligible.
 
MERGERS, CONSOLIDATIONS, AMALGAMATIONS OR REPLACEMENTS OF THE TRUST
 
  The Trust may not merge with or into, consolidate, amalgamate, or be
replaced by, or convey, transfer or lease its properties and assets as an
entirety or substantially as an entirety to any corporation or other Person,
except as described herein or as otherwise described under "--Liquidation of
the Trust and Distribution of Exchange Junior Subordinated Debentures." The
Trust may, at the request of Greater Bay, as Sponsor, with the consent of the
Administrative Trustees but without the consent of the holders of the Exchange
Capital Securities,
 
                                      51
<PAGE>
 
merge with or into, consolidate, amalgamate, or be replaced by or convey,
transfer or lease its properties and assets as an entirety or substantially as
an entirety to a trust organized as such under the laws of any state;
provided, that (i) such successor entity either (a) expressly assumes all of
the obligations of the Trust with respect to the Trust Securities or (b)
substitutes for the Trust Securities other securities having substantially the
same terms as the Trust Securities (the "Successor Securities") so long as the
Successor Securities rank the same as the Trust Securities rank in priority
with respect to distributions and payments upon liquidation, redemption and
otherwise, (ii) Greater Bay expressly appoints a trustee of such successor
entity possessing the same powers and duties as the Property Trustee with
respect to the Exchange Junior Subordinated Debentures, (iii) the Successor
Securities are listed, or any Successor Securities will be listed upon
notification of issuance, on any national securities exchange or other
organization on which the Trust Securities are then listed or quoted, if any,
(iv) if the Exchange Capital Securities (including any Successor Securities)
are rated by any nationally recognized statistical rating organization prior
to such transaction, such merger, consolidation, amalgamation, replacement,
conveyance, transfer or lease does not cause the Exchange Capital Securities
(including any Successor Securities) or, if the Exchange Junior Subordinated
Debentures are so rated, the Exchange Junior Subordinated Debentures, to be
downgraded by any such nationally recognized statistical rating organization,
(v) such merger, consolidation, amalgamation, replacement, conveyance,
transfer or lease does not adversely affect the rights, preferences and
privileges of the holders of the Trust Securities (including any Successor
Securities) in any material respect, (vi) such successor entity has a purpose
identical to that of the Trust, (vii) prior to such merger, consolidation,
amalgamation, replacement, conveyance, transfer or lease, Greater Bay has
received an opinion from independent counsel to the Trust experienced in such
matters to the effect that (a) such merger, consolidation, amalgamation,
replacement, conveyance, transfer or lease does not adversely affect the
rights, preferences and privileges of the holders of the Trust Securities
(including any Successor Securities) in any material respect (other than any
dilution of such holders' interests in the new entity) and (b) following such
merger, consolidation, amalgamation, replacement, conveyance, transfer or
lease, neither the Trust nor such successor entity will be required to
register as an investment company under the Investment Company Act of 1940, as
amended (the "Investment Company Act"), and (viii) Greater Bay or any
permitted successor or assignee owns all of the common securities of such
successor entity and guarantees the obligations of such successor entity under
the Successor Securities at least to the extent provided by the Exchange
Guarantee and the Common Guarantee. Notwithstanding the foregoing, the Trust
shall not, except with the consent of holders of 100% in Liquidation Amount of
the Trust Securities, consolidate, amalgamate, merge with or into, or be
replaced by or convey, transfer or lease its properties and assets as an
entirety or substantially as an entirety to any other entity or permit any
other entity to consolidate, amalgamate, merge with or into, or replace it, if
such consolidation, amalgamation, merger, replacement, conveyance, transfer or
lease would cause the Trust or the successor entity not to be classified as a
grantor trust for United States federal income tax purposes.
 
VOTING RIGHTS; AMENDMENT OF THE TRUST AGREEMENT
 
  Except as provided herein and under "--Mergers, Consolidations,
Amalgamations or Replacements of the Trust" and "--Description of Exchange
Guarantee--Amendments and Assignment" and as otherwise required by law and the
Trust Agreement, the holders of the Exchange Capital Securities will have no
voting rights.
 
  The Trust Agreement may be amended from time to time by Greater Bay, the
Property Trustee and the Administrative Trustees, without the consent of the
holders of the Trust Securities (i) to cure any ambiguity, correct or
supplement any provision in the Trust Agreement that may be inconsistent with
any other provision, or to make any other provisions with respect to matters
or questions arising under the Trust Agreement, which shall not be
inconsistent with the other provisions of the Trust Agreement, or (ii) to
modify, eliminate or add to any provisions of the Trust Agreement to such
extent as shall be necessary to ensure that the Trust will be classified for
federal income tax purposes as a grantor trust at all times that any Trust
Securities are outstanding or to ensure that the Trust will not be required to
register as an "investment company" under the Investment Company Act or (iii)
to modify, eliminate or add any provisions of the Trust Agreement to such
extent as shall be necessary to enable the Trust or Greater Bay to conduct an
Exchange Offer in the manner contemplated by the Registration Rights
Agreement; provided, however, that in the case of clauses (i) and (iii), such
action shall
 
                                      52
<PAGE>
 
not adversely affect in any material respect the interests of the holders of
the Trust Securities. Any amendments of the Trust Agreement pursuant to the
foregoing shall become effective when notice thereof is given to the holders
of the Trust Securities. The Trust Agreement may be amended by the Issuer
Trustees and Greater Bay (i) with the consent of holders representing a
majority (based upon Liquidation Amount) of the outstanding Trust Securities
and (ii) upon receipt by the Issuer Trustees of an opinion of counsel
experienced in such matters to the effect that such amendment or the exercise
of any power granted to the Issuer Trustees in accordance with such amendment
will not affect the Trust's status as a grantor trust for federal income tax
purposes or the Trust's exemption from status as an "investment company" under
the Investment Company Act, provided that, without the consent of each holder
of Trust Securities, the Trust Agreement may not be amended to (i) change the
amount or timing of any Distribution on the Trust Securities or otherwise
adversely affect the amount of any Distribution required to be made in respect
of the Trust Securities as of a specified date or (ii) restrict the right of a
holder of Trust Securities to institute suit for the enforcement of any such
payment on or after such date. The Exchange Capital Securities and any
Original Capital Securities that remain outstanding after consummation of the
Exchange Offer will vote together as a single class for purposes of
determining whether holders of the requisite percentage in outstanding
Liquidation Amount thereof have taken certain actions or exercised certain
rights under the Trust Agreement.
 
  So long as any Exchange Junior Subordinated Debentures are held by the
Property Trustee, the Issuer Trustees shall not (i) direct the time, method
and place of conducting any proceeding for any remedy available to the
Debenture Trustee, or execute any trust or power conferred on the Debenture
Trustee with respect to the Exchange Junior Subordinated Debentures, (ii)
waive certain past defaults under the Indenture, (iii) exercise any right to
rescind or annul a declaration of acceleration of the maturity of the
principal of the Exchange Junior Subordinated Debentures or (iv) consent to
any amendment, modification or termination of the Indenture or the Exchange
Junior Subordinated Debentures, where such consent shall be required, without,
in each case, obtaining the prior approval of the holders of a majority in
Liquidation Amount of all outstanding Capital Securities; provided, however,
that where a consent under the Indenture would require the consent of each
holder of Exchange Junior Subordinated Debentures affected thereby, no such
consent shall be given by the Property Trustee without the prior approval of
each holder of the Exchange Capital Securities. The Issuer Trustees shall not
revoke any action previously authorized or approved by a vote of the holders
of the Exchange Capital Securities except by subsequent vote of such holders.
The Property Trustee shall notify each holder of Exchange Capital Securities
of any notice of default it receives with respect to the Exchange Junior
Subordinated Debentures. In addition to obtaining the foregoing approvals of
such holders of the Exchange Capital Securities, prior to taking any of the
foregoing actions, the Issuer Trustees shall obtain an opinion of counsel
experienced in such matters to the effect that the Trust will continue to be
classified as a grantor trust, and not as an association taxable as a
corporation, for federal income tax purposes on account of such action.
 
  Any required approval of holders of Exchange Capital Securities may be given
at a meeting of such holders convened for such purpose or pursuant to written
consent. The Property Trustee will cause a notice of any meeting at which
holders of Exchange Capital Securities are entitled to vote, or of any matter
upon which action by written consent of such holders is to be taken, to be
given to each holder of record of Exchange Capital Securities in the manner
set forth in the Trust Agreement.
 
  No vote or consent of the holders of Exchange Capital Securities will be
required for the Trust to redeem and cancel the Exchange Capital Securities in
accordance with the Trust Agreement.
 
  Notwithstanding that holders of the Exchange Capital Securities are entitled
to vote or consent under any of the circumstances described above, any of the
Exchange Capital Securities that are owned by Greater Bay, the Issuer Trustees
or any affiliate of Greater Bay or any Issuer Trustee shall, for purposes of
such vote or consent, be treated as if they were not outstanding.
 
 
                                      53
<PAGE>
 
FORM, DENOMINATION, BOOK-ENTRY PROCEDURES AND TRANSFER
 
  The Exchange Capital Securities initially will be represented by one or more
Exchange Capital Securities in registered, global form (collectively, the
"Global Capital Securities"). The Global Capital Securities will be deposited
upon issuance with the Property Trustee as custodian for DTC, in New York, New
York, and registered in the name of DTC or its nominee, in each case for
credit to an account of a direct or indirect participant in DTC as described
herein.
 
  In the event that Exchange Capital Securities are issued in certificated
form, the Exchange Capital Securities will be in blocks having a Liquidation
Amount of not less than $100,000 (100 Exchange Capital Securities) and may be
transferred or exchanged only in such blocks in the manner described herein.
 
  Except as set forth herein, the Global Capital Securities may be
transferred, in whole and not in part, only to another nominee of DTC or to a
successor of DTC or its nominee and only in amounts that would not cause a
holder to own less than 100 Exchange Capital Securities. Beneficial interests
in the Global Capital Securities may not be exchanged for Exchange Capital
Securities in certificated form except in the limited circumstances described
herein. See "--Exchange of Book-Entry Capital Securities for Certificated
Capital Securities."
 
DEPOSITORY PROCEDURES
 
  DTC has advised the Trust and Greater Bay that DTC is a limited-purpose
trust company organized under the laws of the state of New York, a member of
the Federal Reserve System, a "clearing corporation" within the meaning of the
Uniform Commercial Code and a "clearing agency" registered pursuant to the
provisions of Section 17A of the Exchange Act. DTC was created to hold
securities for its participating organizations (collectively, the
"Participants") and to facilitate the clearance and settlement of transactions
in those securities between Participants through electronic book-entry changes
in accounts of its Participants, thereby eliminating the need for physical
movement of certificates. Participants include securities brokers and dealers
(including the Initial Purchaser), banks, trust companies, clearing
corporations and certain other organizations. Indirect access to DTC's system
is also available to other entities such as banks, brokers, dealers and trust
companies that clear through or maintain a custodial relationship with a
Participant, either directly or indirectly (collectively, the "Indirect
Participants"). Persons who are not Participants may beneficially own
securities held by or on behalf of DTC only through the Participants or the
Indirect Participants. The ownership interest and transfer of ownership
interest of each actual purchaser of each security held by or on behalf of DTC
are recorded on the records of the Participants and Indirect Participants.
 
  DTC has also advised the Trust and Greater Bay that, pursuant to procedures
established by it, (i) upon deposit of the Global Capital Securities, DTC will
credit the accounts of Participants designated by the Initial Purchaser with
portions of the principal amount of the Global Capital Securities and (ii)
ownership of such interests in the Global Capital Securities will be shown on,
and the transfer of ownership thereof will be effected only through, records
maintained by DTC (with respect to the Participants) or by the Participants
and the Indirect Participants (with respect to other owners of beneficial
interests in the Global Capital Securities).
 
  Investors in the Global Capital Securities may hold their interests therein
directly through DTC if they are Participants, or indirectly through
organizations that are Participants. All interests in a Global Capital
Security will be subject to the procedures and requirements of DTC. The laws
of some states require that certain persons take physical delivery in
certificated form of securities that they own. Consequently, the ability to
transfer beneficial interests in a Global Capital Security to such persons
will be limited to that extent. Because DTC can act only on behalf of
Participants, which in turn act on behalf of Indirect Participants and certain
banks, the ability of a person having beneficial interests in a Global Capital
Security to pledge such interests to persons or entities that do not
participate in the DTC system, or otherwise take actions in respect of such
interests, may be affected by the lack of a physical certificate evidencing
such interests. For certain other restrictions on the transferability of the
Exchange Capital Securities, see "--Exchange of Book-Entry Capital Securities
for Certificated Capital Securities."
 
 
                                      54
<PAGE>
 
  EXCEPT AS DESCRIBED HEREIN, OWNERS OF INTERESTS IN THE GLOBAL CAPITAL
SECURITIES WILL NOT HAVE EXCHANGE CAPITAL SECURITIES REGISTERED IN THEIR
NAMES, WILL NOT RECEIVE PHYSICAL DELIVERY OF EXCHANGE CAPITAL SECURITIES IN
CERTIFICATED FORM AND WILL NOT BE CONSIDERED THE REGISTERED OWNERS OR HOLDERS
THEREOF UNDER THE TRUST AGREEMENT FOR ANY PURPOSE.
 
  Payments in respect of the Global Capital Security registered in the name of
DTC or its nominee will be payable by the Property Trustee to DTC in its
capacity as the registered holder under the Trust Agreement. Under the terms
of the Trust Agreement, the Property Trustee will treat the persons in whose
names the Exchange Capital Securities, including the Global Capital
Securities, are registered as the owners thereof for the purpose of receiving
such payments and for any and all other purposes whatsoever. Consequently,
neither the Property Trustee nor any agent thereof has or will have any
responsibility or liability for (i) any aspect of DTC's records or any
Participant's or Indirect Participant's records relating to, or payments made
on account of, beneficial ownership interests in the Global Capital
Securities, or for maintaining, supervising or reviewing any of DTC's records
or any Participant's or Indirect Participant's records relating to the
beneficial ownership interests in the Global Capital Securities or (ii) any
other matter relating to the actions and practices of DTC or any of its
Participants or Indirect Participants. DTC has advised the Trust and Greater
Bay that its current practice, upon receipt of any payment in respect of
securities such as the Exchange Capital Securities, is to credit the accounts
of the relevant Participants with the payment on the payment date, in amounts
proportionate to their respective holdings in Liquidation Amount of beneficial
interests in the relevant security as shown on the records of DTC unless DTC
has reason to believe it will not receive payment on such payment date.
Payments by the Participants and the Indirect Participants to the beneficial
owners of Exchange Capital Securities will be governed by standing
instructions and customary practices and will be the responsibility of the
Participants or the Indirect Participants and will not be the responsibility
of DTC, the Property Trustee, the Trust or Greater Bay. None of the Trust,
Greater Bay or the Property Trustee will be liable for any delay by DTC or any
of its Participants in identifying the beneficial owners of the Exchange
Capital Securities, and the Trust, Greater Bay and the Property Trustee may
conclusively rely on and will be protected in relying on instructions from DTC
or its nominee for all purposes.
 
  Any secondary market trading activity in interests in the Global Capital
Securities will settle in immediately available funds, subject in all cases to
the rules and procedures of DTC and its Participants. Transfers between
Participants in DTC will be effected in accordance with DTC's procedures, and
will settle in same-day funds.
 
  DTC has advised the Trust and Greater Bay that it will take any action
permitted to be taken by a holder of Exchange Capital Securities (including,
without limitation, the presentation of Exchange Capital Securities for
exchange as described herein) only at the direction of one or more
Participants to whose account with DTC interests in the Global Capital
Securities are credited and only in respect of such portion of the aggregate
Liquidation Amount of the Exchange Capital Securities as to which such
Participant or Participants has or have given such direction. However, if
there is an Event of Default under the Trust Agreement, DTC reserves the right
to exchange the Global Capital Securities for legended Exchange Capital
Securities in certificated form and to distribute such Exchange Capital
Securities to its Participants.
 
  So long as DTC or its nominee is the registered owner of the Global Capital
Securities, DTC or such nominee, as the case may be, will be considered the
sole owner or holder of the Exchange Capital Securities represented by the
Global Capital Security for all purposes under the Trust Agreement.
 
  Although DTC has agreed to the foregoing procedures to facilitate transfers
of interest in the Global Capital Securities among Participants in DTC, it is
under no obligation to perform or to continue to perform such procedures, and
such procedures may be discontinued at any time. None of the Trust, Greater
Bay or the Property Trustee will have any responsibility for the performance
by DTC or its Participants or Indirect Participants of their respective
obligations under the rules and procedures governing its operations.
 
 
                                      55
<PAGE>
 
  The information in this section concerning DTC and its book-entry system has
been obtained from sources that the Trust and Greater Bay believe to be
reliable, but neither the Trust nor Greater Bay takes responsibility for the
accuracy thereof.
 
EXCHANGE OF BOOK-ENTRY CAPITAL SECURITIES FOR CERTIFICATED CAPITAL SECURITIES
 
  A Global Capital Security is exchangeable for Exchange Capital Securities in
registered certificated form if (i) DTC (a) notifies the Trust that it is
unwilling or unable to continue as Depository for the Global Capital Security
or (b) has ceased to be a clearing agency registered under the Exchange Act,
and the Trust thereupon fails to appoint a successor Depository within 90
days, (ii) the Trust in its sole discretion elects to cause the issuance of
the Exchange Capital Securities in certificated form or (iii) there shall have
occurred and be continuing an Event of Default or any event which after notice
or lapse of time or both would be an Event of Default under the Trust
Agreement. In addition, beneficial interests in a Global Capital Security may
be exchanged by or on behalf of DTC for certificated Exchange Capital
Securities upon request by DTC, but only upon at least 20 days' prior written
notice given to the Property Trustee in accordance with DTC's customary
procedures. In all cases, certificated Exchange Capital Securities delivered
in exchange for any Global Capital Security or beneficial interests therein
will be registered in the names, and issued in any approved denominations,
requested by or on behalf of the Depository (in accordance with its customary
procedures).
 
PAYMENT AND PAYING AGENCY
 
  Payments in respect of the Exchange Capital Securities held in global form
shall be made to the Depository, which shall credit the relevant accounts at
the Depository on the applicable Distribution Dates or in respect of the
Exchange Capital Securities that are not held by the Depository, such payments
shall be made by check mailed to the address of the holder entitled thereto as
such address shall appear on the register. The paying agent (the "Paying
Agent") shall initially be the Property Trustee and shall include any co-
paying agent chosen by the Property Trustee that is acceptable to the
Administrative Trustees and Greater Bay. The Paying Agent shall be permitted
to resign as Paying Agent upon 30 days' written notice to the Property
Trustee, the Administrative Trustees and Greater Bay. In the event that the
Property Trustee shall no longer be the Paying Agent, the Administrative
Trustees shall appoint a successor (which shall be a bank or trust company
acceptable to the Administrative Trustees and Greater Bay) to act as Paying
Agent.
 
RESTRICTIONS ON TRANSFER
 
  The Exchange Capital Securities will be issued, and may be transferred, only
in blocks having a Liquidation Amount of not less than $100,000 (100 Exchange
Capital Securities) and multiples of $1,000 in excess thereof. Any attempted
sale, transfer or other disposition of Exchange Capital Securities in a block
having a Liquidation Amount of less than $100,000 shall be deemed to be void
and of no legal effect whatsoever. Any such transferee shall be deemed not to
be the holder of such Exchange Capital Securities for any purpose, including
but not limited to the receipt of Distributions on such Exchange Capital
Securities, and such transferee shall be deemed to have no interest whatsoever
in such Exchange Capital Securities.
 
REGISTRAR AND TRANSFER AGENT
 
  The Property Trustee will act as registrar and transfer agent for the
Exchange Capital Securities.
 
  Registration of transfers of the Exchange Capital Securities will be
effected without charge by or on behalf of the Trust, but upon payment of any
tax or other governmental charges that may be imposed in connection with any
transfer or exchange. The Trust will not be required to register or cause to
be registered the transfer of the Exchange Capital Securities after they have
been called for redemption.
 
 
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<PAGE>
 
INFORMATION CONCERNING THE PROPERTY TRUSTEE
 
  The Property Trustee, other than during the occurrence and continuance of an
Event of Default, undertakes to perform only such duties as are specifically
set forth in the Trust Agreement and, during the existence of an Event of
Default, must exercise the same degree of care and skill as a prudent person
would exercise or use under the circumstances in the conduct of his or her own
affairs. Subject to this provision, the Property Trustee is under no
obligation to exercise any of the powers vested in it by the Trust Agreement
at the request of any holder of Trust Securities unless it is offered
reasonable indemnity against the costs, expenses and liabilities that might be
incurred thereby. If no Event of Default has occurred and is continuing and
the Property Trustee is required to decide between alternative causes of
action, construe ambiguous provisions in the Trust Agreement or is unsure of
the application of any provision of the Trust Agreement, and the matter is not
one on which holders of the Exchange Capital Securities or the Common
Securities are entitled under the Trust Agreement to vote, then the Property
Trustee shall take such action as is directed by Greater Bay and, if not so
directed, shall take such action as it deems advisable and in the best
interests of the holders of the Trust Securities and will have no liability
except for its own bad faith, negligence or willful misconduct.
 
MISCELLANEOUS
 
  The Administrative Trustees are authorized and directed to conduct the
affairs of and to operate the Trust in such a way that (i) the Trust will not
be deemed to be an "investment company" required to be registered under the
Investment Company Act, (ii) the Trust will be classified as a grantor trust
for United States federal income tax purposes and (iii) the Exchange Junior
Subordinated Debentures will be treated as indebtedness of Greater Bay for
United States federal income tax purposes. In this connection, Greater Bay and
the Administrative Trustees are authorized to take any action, not
inconsistent with applicable law or the Trust Agreement, that the
Administrative Trustees determine in their discretion to be necessary or
desirable for such purposes, as long as such action does not materially
adversely affect the interests of the holders of the Trust Securities.
 
  The Trust Agreement provides that (i) holders of the Trust Securities have
no preemptive or similar rights to subscribe for any additional Trust
Securities, and (ii) the issuance of Exchange Capital Securities and the
issuance of Common Securities are not subject to preemptive or similar rights.
 
  The Trust may not borrow money, issue debt, execute mortgages or pledge any
of its assets.
 
            DESCRIPTION OF EXCHANGE JUNIOR SUBORDINATED DEBENTURES
 
  The Original Junior Subordinated Debentures were issued and the Exchange
Junior Subordinated Debentures will be issued under the Indenture. The
Indenture has been qualified under the Trust Indenture Act. This summary of
certain terms and provisions of the Exchange Junior Subordinated Debentures
and the Indenture does not purport to be complete, and where reference is made
to particular provisions of the Indenture, such provisions, including the
definitions of certain terms, some of which are not otherwise defined herein,
are qualified in their entirety by reference to all of the provisions of the
Indenture and those terms made a part of the Indenture by the Trust Indenture
Act.
 
GENERAL
 
  Concurrently with the issuance of the Original Capital Securities, the Trust
invested the proceeds thereof, together with the consideration paid by Greater
Bay for the Common Securities, in Original Junior Subordinated Debentures
issued by Greater Bay. The Exchange Junior Subordinated Debentures, similarly
to the Original Junior Subordinated Debentures, will bear interest at a rate
per annum, reset quarterly, equal to 3-month LIBOR plus 150 basis points from
the most recent date to which interest has been paid or duly provided for or,
if no interest has been paid or duly provided for, from August 12, 1998, until
the principal thereof becomes due and payable, and at the Interest Rate on any
overdue principal and (to the extent that payment of such interest is
enforceable under applicable law) on any overdue installment of interest,
compounded quarterly, (the "Interest
 
                                      57
<PAGE>
 
Rate"), payable quarterly in arrears on March 15, June 15, September 15 and
December 15 of each year, (each, an "Interest Payment Date"), commencing
December 15, 1998. The record dates will be the first day of the month in
which the relevant payment occurs. It is anticipated that, until the
liquidation, if any, of the Trust, each Exchange Junior Subordinated Debenture
will be held in the name of the Property Trustee in trust for the benefit of
the holders of the Trust Securities. The amount of interest payable for any
period will be computed on the basis of the actual number of days elapsed in
such period and a 360-day year. In the event that any date on which interest
is payable on the Exchange Junior Subordinated Debentures is not a Business
Day, then payment of the interest payable on such date will be made on the
next succeeding day that is a Business Day (and without any interest or other
payment in respect of any such delay), with the same force and effect as if
made on such date. Accrued interest that is not paid on the applicable
Interest Payment Date will bear additional interest on the amount thereof (to
the extent permitted by law) at the applicable periodic Interest Rate thereof,
compounded quarterly. The term "interest," as used herein, shall include
quarterly interest payments, interest on quarterly interest payments not paid
on the applicable Interest Payment Date and Additional Sums, as applicable.
 
  The Interest Rate and amount of interest payable will be calculated or
determined in the same manner as the Distribution Rate and amounts of
Distributions payable, respectively, as described under "Description of
Exchange Capital Securities--Distributions" and "--Determination of 3-month
LIBOR."
 
  The Exchange Junior Subordinated Debentures will be issued in denominations
of $100,000 and multiples of $1,000 in excess thereof. The Exchange Junior
Subordinated Debentures will mature on September15, 2028 (the "Stated Maturity
Date").
 
  The Exchange Junior Subordinated Debentures will be issued in denominations
of $100,000 and multiples of $1,000 in excess thereof, pursuant to the
Indenture.
 
  The Exchange Junior Subordinated Debentures will be unsecured and will rank
pari passu with the Original Junior Subordinated Debentures and all Other
Debentures and subordinate and junior in right of payment to all Senior
Indebtedness to the extent and in the manner set forth in the Indenture. See
"--Subordination."
 
  Greater Bay is a bank holding company regulated by the FRB and almost all of
the operating assets of Greater Bay are owned by its subsidiaries. Greater Bay
is a legal entity separate and distinct from its subsidiaries. Holders of
Junior Subordinated Debentures should look only to Greater Bay for payments on
the Junior Subordinated Debentures. The principal sources of Greater Bay's
income are dividends, interest and fees from the Banks. Greater Bay relies
primarily on dividends from the Banks to meet its obligations for payment of
principal and interest on its outstanding debt obligations and corporate
expenses. Dividend payments from the Banks are subject to regulatory
limitations, generally based on current and retained earnings, imposed by the
various regulatory agencies with authority over the respective Banks. Under
the FDIA, insured depositary institutions such as the Banks are prohibited
from making capital distributions, including the payment of dividends, if,
after making such distribution, the institution would become
"undercapitalized" (as such term is used in the statute). Based on each of the
Bank's current financial condition, Greater Bay does not expect that this
provision will have any impact on its ability to obtain dividends from the
Banks. During the first six months of 1998, the Banks paid $1.6 million in
dividends to Greater Bay, which reflected approximately 9.3% of the total
amount of dividends the Banks were permitted to pay as of June 30, 1998 under
existing supervisory practices. Payment of dividends by the Banks is also
subject to the respective Bank's profitability, financial condition and
capital expenditures and other cash flow requirements. The FRB has stated
that, as a matter of prudent banking, a bank or bank holding company should
not maintain its existing rate of cash dividends on common stock unless (i)
the organization's net income available to common shareholders over the past
year has been sufficient to fund fully the dividends; and (ii) the prospective
rate of earnings retention appears consistent with the organization's capital
needs, asset quality, and overall financial condition. No assurance can be
given that the Banks will be able to pay dividends at past levels, or at all,
in the future.
 
  In addition to restrictions on the payment of dividends, the Banks are
subject to certain restrictions imposed by federal law on any extensions of
credit to, and certain other transactions with, Greater Bay and certain other
 
                                      58
<PAGE>
 
affiliates, and on investments in stock or other securities thereof. Such
restrictions prevent Greater Bay and such other affiliates from borrowing from
the Banks, unless the loans are secured by various types of collateral.
Furthermore, such secured loans, other transactions and investments by the
Banks are generally limited in amount as to Greater Bay and as to each of such
other affiliate to 10% of each Bank's capital and surplus and as to Greater
Bay and all of such other affiliates to an aggregate of 20% of the each Bank's
capital and surplus. As of June 30, 1998, approximately $11.5 million of
credit was available to Greater Bay under this limitation.
 
  Because Greater Bay is a holding company, the right of Greater Bay to
participate in any distribution of assets of any subsidiary upon such
subsidiary's liquidation or reorganization or otherwise (and thus the ability
of holders of the Exchange Capital Securities to benefit indirectly from such
distribution) is subject to the prior claims of creditors of such subsidiary
(including depositors in the case of the Banks), except to the extent that
Greater Bay may itself be recognized as a creditor of that subsidiary.
Accordingly, the Exchange Junior Subordinated Debentures effectively will be
subordinated to all existing and future liabilities of Greater Bay's
subsidiaries (including deposit liabilities of the Banks) and all liabilities
of future subsidiaries of Greater Bay. As a result, holders of Exchange Junior
Subordinated Debentures should look only to the assets of Greater Bay for
payments on the Exchange Junior Subordinated Debentures. At June 30, 1998,
Greater Bay's subsidiaries had aggregate total liabilities, (including
deposits) of $1.3 billion.
 
  The Indenture does not limit the incurrence or issuance of other secured or
unsecured debt of Greater Bay or any subsidiary, including Senior
Indebtedness. See "--Subordination." Greater Bay expects from time to time
that it will incur additional indebtedness constituting Senior Indebtedness
and that its subsidiaries will incur additional liabilities.
 
 
FORM, REGISTRATION AND TRANSFER
 
  If the Exchange Junior Subordinated Debentures are distributed to the
holders of the Trust Securities, the Exchange Junior Subordinated Debentures
may be represented by one or more global certificates registered in the name
of Cede & Co., as the nominee of DTC. The depository arrangements for such
Exchange Junior Subordinated Debentures are expected to be substantially
similar to those in effect for the Exchange Capital Securities. For a
description of DTC and the terms of the depository arrangements relating to
payments, transfers, voting rights, redemptions and other notices and other
matters, see "--Description of Exchange Capital Securities--Form,
Denomination, Book-Entry Procedures and Transfer."
 
PAYMENT AND PAYING AGENTS
 
  Payment of principal of and interest on the Exchange Junior Subordinated
Debentures will be made at the office of the Debenture Trustee in Wilmington,
Delaware or at the office of such Paying Agent or Paying Agents as Greater Bay
may designate from time to time, except that at the option of Greater Bay
payment of any interest may be made, except in the case of Exchange Junior
Subordinated Debentures in global form, (i) by check mailed to the address of
the Person entitled thereto as such address shall appear in the register for
Exchange Junior Subordinated Debentures or (ii) by transfer to an account
maintained by the Person entitled thereto as specified in such register,
provided that proper transfer instructions have been received by the relevant
record date. Payment of any interest on any Exchange Junior Subordinated
Debenture will be made to the Person in whose name such Exchange Junior
Subordinated Debenture is registered at the close of business on the Record
Date for such interest, except in the case of defaulted interest. Greater Bay
may at any time designate additional Paying Agents or rescind the designation
of any Paying Agent; provided, however, Greater Bay will at all times be
required to maintain a Paying Agent in each place of payment for the Exchange
Junior Subordinated Debentures.
 
  Any moneys deposited with the Debenture Trustee or any Paying Agent, or then
held by Greater Bay in trust, for the payment of the principal of or interest
on any Exchange Junior Subordinated Debenture and remaining unclaimed for two
years after such principal or interest has become due and payable shall, at
the
 
                                      59
<PAGE>
 
request of Greater Bay, be repaid to Greater Bay and the holder of such
Exchange Junior Subordinated Debenture shall thereafter look, as a general
unsecured creditor, only to Greater Bay for payment thereof.
 
OPTION TO EXTEND INTEREST PAYMENT DATE
 
  So long as no Debenture Event of Default has occurred and is continuing,
Greater Bay has the right under the Indenture to defer the payment of interest
on the Exchange Junior Subordinated Debentures at any time and from time to
time for a period not exceeding 20 consecutive quarterly periods with respect
to each Extension Period, provided that no Extension Period shall end on a
date other than an Interest Payment Date or extend beyond the Stated Maturity
Date. At the end of such Extension Period, Greater Bay must pay all interest
then accrued and unpaid (together with interest thereon at the applicable
periodic Interest Rate, compounded quarterly, to the extent permitted by
applicable law). During an Extension Period, interest will continue to accrue
and, if the Exchange Subordinated Debentures have been distributed to holders
of the Trust Securities, holders of Exchange Junior Subordinated Debentures
(or holders of the Trust Securities while Trust Securities are outstanding)
will be required to accrue such deferred interest income for federal income
tax purposes prior to the receipt of cash attributable to such income. See
"Certain Federal Income Tax Consequences--Interest Income and Original Issue
Discount."
 
  During any such Extension Period, Greater Bay may not (i) declare or pay any
dividends or distributions on, or redeem, purchase, acquire, or make a
liquidation payment with respect to, any of Greater Bay's capital stock, (ii)
make any payment of principal of, premium, if any, or interest on or repay,
repurchase or redeem any debt securities of Greater Bay (including Other
Debentures) that rank pari passu with or junior in right of payment to the
Exchange Junior Subordinated Debentures or (iii) make any guarantee payments
with respect to any guarantee by Greater Bay of the debt securities of any
subsidiary of Greater Bay (including Other Guarantees) if such guarantee ranks
pari passu with or junior in right of payment to the Exchange Junior
Subordinated Debentures (other than (a) dividends or distributions in shares
of, or options, warrants or rights to subscribe for or purchase shares of,
common stock of Greater Bay, (b) any declaration of a dividend in connection
with the implementation of a stockholders' rights plan, or the issuance of
stock under any such plan in the future, or the redemption or repurchase of
any such rights pursuant thereto, (c) payments under the Exchange Guarantee,
(d) the purchase of fractional shares resulting from a reclassification of
Greater Bay's capital stock, (e) the purchase of fractional interests in
shares of Greater Bay's capital stock pursuant to the conversion or exchange
provisions of such capital stock or the security being converted or exchanged
and (f) purchases of common stock of Greater Bay related to the issuance of
such common stock or rights under any of Greater Bay's benefit plans for its
directors, officers or employees or any of Greater Bay's dividend reinvestment
plans).
 
  Prior to the termination of any such Extension Period, Greater Bay may
further extend such Extension Period, provided that such extension does not
cause such Extension Period to exceed 20 consecutive quarterly periods, end on
a date other than an Interest Payment Date or extend beyond the Stated
Maturity Date. Upon the termination of any such Extension Period and the
payment of all amounts then due on any Interest Payment Date, Greater Bay may
elect to begin a new Extension Period, subject to the above requirements. No
interest shall be due and payable during an Extension Period, except at the
end thereof. Greater Bay must give the Property Trustee, the Administrative
Trustees and the Debenture Trustee notice of its election of any Extension
Period (or an extension thereof) at least five Business Days prior to the
earlier of (i) the date the Distributions on the Trust Securities would have
been payable except for the election to begin or extend such Extension Period
or (ii) the date the Trust is required to give notice to any automated
quotation system or to holders of Exchange Capital Securities of the record
date or the date such Distributions are payable, but in any event not less
than five Business Days prior to such record date. The Debenture Trustee shall
give notice of Greater Bay's election to begin or extend a new Extension
Period to the holders of the Exchange Capital Securities. There is no
limitation on the number of times that Greater Bay may elect to begin an
Extension Period.
 
 
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<PAGE>
 
OPTIONAL PREPAYMENT
 
  The Exchange Junior Subordinated Debentures will be prepayable, in whole or
in part, at the option of Greater Bay on or after the Initial Optional
Redemption Date, subject to Greater Bay having received any required
regulatory approvals, at a price (the "Prepayment Price") equal to 100% of the
principal amount of Junior Subordinated Debentures so prepaid, plus, accrued
and unpaid interest thereon, if any, to the date of prepayment.
 
SPECIAL EVENT PREPAYMENT
 
  Prior to the Initial Optional Repayment Date, if a Special Event shall occur
and be continuing, Greater Bay may, at its option and subject to receipt of
any required regulatory approvals, prepay the Exchange Junior Subordinated
Debentures in whole (but not in part) at any time within 90 days of the
occurrence of such Special Event, at the Prepayment Price. If, following the
occurrence of a Special Event, Greater Bay exercises its option to prepay the
Exchange Junior Subordinated Debentures, then the proceeds of that prepayment
must be applied to redeem a Like Amount of Trust Securities at the Redemption
Price.
 
  A "Special Event" means an Investment Company Event, Regulatory Capital
Event, or a Tax Event, as the case may be.
 
  An "Investment Company Event" means the receipt by Greater Bay and GBB
Capital II of an opinion of independent securities counsel experienced in such
matters to the effect that as a result of (a) any amendment to, or change
(including any announced prospective change) in, the laws or any regulation
thereunder of the United States or any rules, guidelines or policies of any
applicable regulatory authority for Greater Bay or (b) any official
administrative or judicial decision interpreting or applying such laws or
regulations, which amendment or change is effective or which pronouncement or
decision is announced on or after the date of original issuance of the Trust
Securities, the Trust is, or within 90 days of the date of such opinion will
be, considered an "investment company" that is required to be registered under
the Investment Company Act.
 
  A "Regulatory Capital Event" means the receipt by Greater Bay of an opinion
of independent bank regulatory counsel experienced in such matters to the
effect that, as a result of (i) any amendment to, or change (including any
announced prospective change) in, the laws (or any regulations thereunder) of
the United States or any rules, guidelines or policies of an applicable
regulatory agency or (ii) any official administrative pronouncement or
judicial decision interpreting or applying such laws or regulations, which
amendment or change is effective or which pronouncement or decision is
announced on or after the date of original issuance of the Trust Securities,
the Capital Securities do not constitute, or within 90 days of such opinion
will not constitute, Tier 1 Capital (or its then equivalent if Greater Bay
were subject to such capital requirement).
 
  A "Tax Event" means the receipt by Greater Bay and the Trust of an opinion
of independent tax counsel experienced in such matters to the effect that, as
a result of any amendment to, or change (including any announced prospective
change) in, the laws or any regulations thereunder of the United States or any
political subdivision or taxing authority thereof or therein, or as a result
of any official administrative pronouncement or judicial decision interpreting
or applying such laws or regulations, which amendment or change is effective
or such pronouncement or decision is announced on or after the date of
original issuance of the Trust Securities, there is more than an insubstantial
risk that: (i) the Trust is, or will be within 90 days of the date of such
opinion, subject to United States federal income tax with respect to income
received or accrued on the Junior Subordinated Debentures; (ii) interest
payable by Greater Bay on the Junior Subordinated Debentures is not, or within
90 days of the date of such opinion will not be, deductible by Greater Bay, in
whole or in part, for United States federal income tax purposes; or (iii) the
Trust is, or will be within 90 days of the date of such opinion, subject to
more than a de minimis amount of other taxes, duties or other governmental
charges.
 
  Notice of any prepayment will be mailed at least 30 days but not more than
60 days before the prepayment date to each holder of Exchange Junior
Subordinated Debentures to be prepaid at its registered address. Unless
 
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<PAGE>
 
Greater Bay defaults in payment of the Prepayment Price, on and after the
prepayment date interest ceases to accrue on such Exchange Junior Subordinated
Debentures called for prepayment.
 
  If the Trust is required to pay any additional taxes, duties or other
governmental charges as a result of a Tax Event, Greater Bay will pay as
additional amounts on the Exchange Junior Subordinated Debentures such amounts
as shall be necessary in order that the amount of Distributions then due and
payable by the Trust on the outstanding Trust Securities shall not be reduced
as a result of any additional taxes, duties and other governmental charges to
which the Trust has become subject as a result of a Tax Event ("Additional
Sums").
 
CERTAIN COVENANTS OF GREATER BAY
 
  Greater Bay will also covenant that it will not (i) declare or pay any
dividends or distributions on, or redeem, purchase, acquire, or make a
liquidation payment with respect to, any of Greater Bay's capital stock, (ii)
make any payment of principal of, premium, if any, or interest on or repay,
repurchase or redeem any debt securities of Greater Bay (including Other
Debentures) that rank pari passu with or junior in right of payment to the
Exchange Junior Subordinated Debentures or (iii) make any guarantee payments
with respect to any guarantee by Greater Bay of the debt securities of any
subsidiary of Greater Bay (including Other Guarantees) if such guarantee ranks
pari passu with or junior in right of payment to the Exchange Junior
Subordinated Debentures (other than (a) dividends or distributions in shares
of, or options, warrants or rights to subscribe for or purchase shares of,
common stock of Greater Bay, (b) any declaration of a dividend in connection
with the implementation of a stockholders' rights plan, or the issuance of
stock under any such plan in the future, or the redemption or repurchase of
any such rights pursuant thereto, (c) payments under the Exchange Guarantee,
(d) the purchase of fractional shares resulting from a reclassification of
Greater Bay's capital stock, (e) the purchase of fractional interests in
shares of Greater Bay's capital stock pursuant to the conversion or exchange
provisions of such capital stock or the security being converted or exchanged
and (f) purchases of common stock of Greater Bay related to the issuance of
such common stock or rights under any of Greater Bay's benefit plans for its
directors, officers or employees or any of Greater Bay's dividend reinvestment
plans), if at such time (1) there shall have occurred any event of which
Greater Bay has actual knowledge that (A) is, or, with the giving of notice or
the lapse of time, or both, would constitute, a Debenture Event of Default and
(B) in respect of which Greater Bay shall not have taken reasonable steps to
cure, (2) if such Exchange Junior Subordinated Debentures are held by the
Trust, Greater Bay shall be in default with respect to its payment obligations
under the Exchange Guarantee or (3) Greater Bay shall have given notice of its
election of its right to commence an Extension Period as provided in the
Indenture and such Extension Period, or any extension thereof, shall have
commenced and be continuing.
 
  So long as the Trust Securities remain outstanding, Greater Bay also will
covenant (i) to maintain 100% direct or indirect ownership of the Common
Securities; provided, however, that any permitted successor of Greater Bay
under the Indenture may succeed to Greater Bay's ownership of such Common
Securities, (ii) to use commercially reasonable efforts to cause the Trust (a)
to remain a business trust, except in connection with the distribution of
Exchange Junior Subordinated Debentures to the holders of Trust Securities in
liquidation of the Trust, the prepayment of all the Trust Securities of the
Trust, or certain mergers, consolidations or amalgamations, each as permitted
by the Trust Agreement, and (b) to otherwise continue to be classified as a
grantor trust for federal income tax purposes, and (iii) to not cause, as
sponsor of the Trust, or to permit, as holder of the Common Securities, the
dissolution, winding-up or termination of the Trust, except as provided in the
Trust Agreement.
 
MODIFICATION OF INDENTURE
 
  From time to time Greater Bay and the Debenture Trustee may, without the
consent of the holders of Exchange Junior Subordinated Debentures, amend,
waive or supplement the Indenture for specified purposes, including, among
other things, curing ambiguities, defects or inconsistencies, or enabling
Greater Bay and the Trust to conduct an Exchange Offer as contemplated by the
Registration Rights Agreement, provided that any such action does not
materially adversely affect the interest of the holders of Exchange Junior
Subordinated
 
                                      62
<PAGE>
 
Debentures, and qualifying, or maintaining the qualification of, the Indenture
under the Trust Indenture Act. The Indenture contains provisions permitting
Greater Bay and the Debenture Trustee, with the consent of the holders of a
majority in principal amount of Exchange Junior Subordinated Debentures, to
modify the Indenture in a manner affecting the rights of the holders of
Exchange Junior Subordinated Debentures; provided that no such modification
may, without the consent of the holders of each outstanding Exchange Junior
Subordinated Debenture so affected, (i) change the Stated Maturity Date, or
reduce the principal amount of the Exchange Junior Subordinated Debentures or
reduce the amount payable on redemption thereof or reduce the rate or extend
the time of payment of interest thereon except pursuant to Greater Bay's right
under the Indenture to defer the payment of interest as provided therein (see
"--Option to Extend Interest Payment Date"), or change any of the prepayment
provisions or make the principal of, or interest on, the Exchange Junior
Subordinated Debentures payable in any coin or currency other than that
provided in the Exchange Junior Subordinated Debentures, or impair or affect
the right of any holder of Exchange Junior Subordinated Debentures to
institute suit for the payment thereof, or (ii) reduce the percentage of
principal amount of Exchange Junior Subordinated Debentures, the holders of
which are required to consent to any such modification of the Indenture.
 
DEBENTURE EVENTS OF DEFAULT
 
  The Indenture provides that any one or more of the following described
events with respect to the Exchange Junior Subordinated Debentures constitutes
a "Debenture Event of Default" (whatever the reason for such Debenture Event
of Default and whether it shall be voluntary or involuntary or be effected by
operation of law or pursuant to any judgment, decree or order of any court or
any order, rule or regulation of any administrative or governmental body):
 
    (i) failure for 30 days to pay any interest (including Compounded
  Interest and Additional Sums, if any) or Liquidated Damages, if any, on the
  Exchange Junior Subordinated Debentures or any Other Debentures, when due
  (subject to the deferral of any due date in the case of an Extension Period
  in respect of the Junior Subordinated Debentures or Other Debentures, as
  the case may be); or
 
    (ii) failure to pay any principal or premium, if any, on the Exchange
  Junior Subordinated Debentures or any Other Debentures when due whether at
  maturity, upon prepayment, by declaration of acceleration of maturity or
  otherwise; or
 
    (iii) failure to observe or perform any other agreement or covenant
  contained in the Indenture for 90 days after written notice to Greater Bay
  from the Debenture Trustee or the holders of at least 25% in aggregate
  outstanding principal amount of Exchange Junior Subordinated Debentures; or
 
    (iv) certain events in bankruptcy, insolvency or reorganization of
  Greater Bay.
 
  The holders of a majority in aggregate outstanding principal amount of the
Exchange Junior Subordinated Debentures have, subject to certain exceptions,
the right to direct the time, method and place of conducting any proceeding
for any remedy available to the Debenture Trustee. The Debenture Trustee or
the holders of not less than 25% in aggregate outstanding principal amount of
the Exchange Junior Subordinated Debentures may declare the principal due and
payable immediately upon a Debenture Event of Default. The holders of a
majority in aggregate outstanding principal amount of the Exchange Junior
Subordinated Debentures may annul such declaration and waive the default if
the default (other than the non-payment of the principal of the Exchange
Junior Subordinated Debentures which has become due solely by such
acceleration) has been cured and a sum sufficient to pay all matured
installments of interest and principal due otherwise than by acceleration has
been deposited with the Debenture Trustee.
 
  The holders of a majority in aggregate outstanding principal amount of the
Exchange Junior Subordinated Debentures affected thereby may, on behalf of the
holders of all the Exchange Junior Subordinated Debentures, waive any past
default, except a default in the payment of principal thereof (or premium, if
any) or interest thereon (unless such default has been cured and a sum
sufficient to pay all matured installments of interest and principal due
otherwise than by acceleration has been deposited with the Debenture Trustee),
or a default in
 
                                      63
<PAGE>
 
respect of a covenant or provision which under the Indenture cannot be
modified or amended without the consent of the holder of each outstanding
Exchange Junior Subordinated Debenture.
 
  The Indenture requires the annual filing by Greater Bay with the Debenture
Trustee of a certificate as to the absence of certain defaults under the
Indenture.
 
  The Indenture provides that the Debenture Trustee may withhold notice of a
Debenture Event of Default from the holders of the Exchange Junior
Subordinated Debentures if the Debenture Trustee considers it in the interest
of such holders to do so.
 
ENFORCEMENT OF CERTAIN RIGHTS BY HOLDERS OF EXCHANGE CAPITAL SECURITIES
 
  If a Debenture Event of Default shall have occurred and be continuing and
shall be attributable to the failure of Greater Bay to pay the principal of or
interest (including Compounded Interest and Additional Sums, if any) or
Liquidated Damages, if any, on the Exchange Junior Subordinated Debentures on
the due date, a holder of Exchange Capital Securities may institute a Direct
Action. Greater Bay may not amend the Indenture to remove the foregoing right
to bring a Direct Action without the prior written consent of the holders of
all of the Exchange Capital Securities. Notwithstanding any payments made to a
holder of Exchange Capital Securities by Greater Bay in connection with a
Direct Action, Greater Bay shall remain obligated to pay the principal of and
interest (including Compounded Interest and Additional Sums, if any) and
Liquidated Damages, if any, on the Exchange Junior Subordinated Debentures,
and Greater Bay shall be subrogated to the rights of the holder of such
Exchange Capital Securities with respect to payments on the Exchange Capital
Securities to the extent of any payments made by Greater Bay to such holder in
any Direct Action.
 
  The holders of the Exchange Capital Securities will not be able to exercise
directly any remedies, other than those set forth in the preceding paragraph,
available to the holders of the Exchange Junior Subordinated Debentures unless
there shall have been an Event of Default under the Trust Agreement. See "--
Description of Exchange Capital Securities--Events of Default; Notice."
 
CONSOLIDATION, MERGER, SALE OF ASSETS AND OTHER TRANSACTIONS
 
  The Indenture provides that Greater Bay shall not consolidate with or merge
into any other Person or convey, transfer or lease its properties as an
entirety or substantially as an entirety to any Person, and no Person shall
consolidate with or merge into Greater Bay or convey, transfer or lease its
properties as an entirety or substantially as an entirety to Greater Bay,
unless: (i) in case Greater Bay consolidates with or merges into another
Person or conveys or transfers its properties substantially as an entirety to
any Person, the successor Person is organized under the laws of the United
States or any state or the District of Columbia, and such successor Person
expressly assumes Greater Bay's obligations on the Exchange Junior
Subordinated Debentures; (ii) immediately after giving effect thereto, no
Debenture Event of Default, and no event which, after notice or lapse of time
or both, would become a Debenture Event of Default, shall have occurred and be
continuing; and (iii) certain other conditions as prescribed in the Indenture
are met.
 
  The general provisions of the Indenture do not afford holders of the
Exchange Junior Subordinated Debentures protection in the event of a highly
leveraged or other transaction involving Greater Bay that may adversely affect
holders of the Exchange Junior Subordinated Debentures.
 
SATISFACTION AND DISCHARGE
 
  The Indenture provides that when, among other things, all Exchange Junior
Subordinated Debentures not previously delivered to the Debenture Trustee for
cancellation (i) have become due and payable or (ii) will become due and
payable at maturity or called for prepayment within one year, and Greater Bay
deposits or causes to be deposited with the Debenture Trustee funds, in trust,
for the purpose and in an amount sufficient to pay and discharge the entire
indebtedness on the Exchange Junior Subordinated Debentures not previously
delivered to the Debenture Trustee for cancellation, for the principal and
interest to the date of the deposit or to the Stated
 
                                      64
<PAGE>
 
Maturity Date, as the case may be, then the Indenture will cease to be of
further effect (except as to Greater Bay's obligations to pay all other sums
due pursuant to the Indenture and to provide the officers' certificates and
opinions of counsel described therein), and Greater Bay will be deemed to have
satisfied and discharged the Indenture.
 
SUBORDINATION
 
  In the Indenture, Greater Bay has covenanted and agreed that the payment by
Greater Bay of the principal and interest (including Compounded Interest and
Additional Sums, if any) on all Exchange Junior Subordinated Debentures issued
thereunder will be subordinate and junior in right of payment to all Senior
Indebtedness to the extent provided in the Indenture. Upon any payment or
distribution of assets to creditors upon any dissolution, winding-up,
liquidation or reorganization, whether voluntary or involuntary or in
bankruptcy, insolvency, receivership or other proceedings of Greater Bay, the
holder of Senior Indebtedness will first be entitled to receive payment in
full of all Allocable Amounts (as defined below) in respect of such Senior
Indebtedness before the holders of Exchange Junior Subordinated Debentures
will be entitled to receive or retain any payment in respect thereof.
 
  In the event of the acceleration of the maturity of the Exchange Junior
Subordinated Debentures, the holders of all Allocable Amounts due on or in
respect of such Senior Indebtedness outstanding at the time of such
acceleration will first be entitled to receive payment in full of all
Allocable Amounts due on or in respect of such Senior Indebtedness before the
holders of the Exchange Junior Subordinated Debentures will be entitled to
receive or retain any payment in respect of the Exchange Junior Subordinated
Debentures.
 
  No payments on account of principal or interest, if any, in respect of the
Exchange Junior Subordinated Debentures may be made if there shall have
occurred and be continuing a default in any payment with respect to Senior
Indebtedness, or an event of default with respect to any Senior Indebtedness
resulting in the acceleration of the maturity thereof, or if any judicial
proceeding shall be pending with respect to any such default.
 
  "Allocable Amounts," when used with respect to any Senior Indebtedness,
means all amounts due or to become due on such Senior Indebtedness less, if
applicable, any amount which would have been paid to, and retained by, the
holders of such Senior Indebtedness (whether as a result of the receipt of
payments by the holders of such Senior Indebtedness from Greater Bay or any
other obligor thereon or from any holders of, or trustee in respect of, other
indebtedness that is subordinate and junior in right of payment to such Senior
Indebtedness pursuant to any provision of such indebtedness for the payment
over of amounts received on account of such indebtedness to the holders of
such Senior Indebtedness or otherwise) but for the fact that such Senior
Indebtedness is subordinate or junior in right of payment to (or subject to a
requirement that amounts received on such Senior Indebtedness be paid over to
obligees on) trade accounts payable or accrued liabilities arising in the
ordinary course of business.
 
  "Indebtedness" shall mean whether recourse is to all or a portion of the
assets of Greater Bay and whether or not contingent (i) every obligation of
Greater Bay for money borrowed; (ii) every obligation of Greater Bay evidenced
by bonds, debentures, notes or other similar instruments, including
obligations incurred in connection with the acquisition of property, assets or
businesses; (iii) every reimbursement obligation of Greater Bay with respect
to letters of credit, banker's acceptances or similar facilities issued for
the account of Greater Bay; (iv) every obligation of Greater Bay issued or
assumed as the deferred purchase price of property or services (but excluding
trade accounts payable or accrued liabilities arising in the ordinary course
of business); (v) every capital lease obligation of Greater Bay; (vi) all
indebtedness of Greater Bay whether incurred on or prior to the date of the
Indenture or thereafter incurred, for claims in respect of derivative
products, including interest rate, foreign exchange rate and commodity forward
contracts, options and swaps and similar arrangements; and (vii) every
obligation of the type referred to in clauses (i) through (vi) of another
Person and all dividends of another Person the payment of which, in either
case, Greater Bay has guaranteed or is responsible or liable for, directly or
indirectly, as obligor or otherwise.
 
                                      65
<PAGE>
 
  "Indebtedness Ranking on a Parity with the Exchange Junior Subordinated
Debentures" shall mean (i) Indebtedness, whether outstanding on the date of
execution of the Indenture or thereafter created, assumed or incurred, to the
extent such indebtedness specifically by its terms ranks pari passu with and
not prior to the Exchange Junior Subordinated Debentures in the right of
payment upon the happening of the dissolution or winding-up or liquidation or
reorganization of Greater Bay, including without limitation the 1997 Junior
Subordinated Debentures and (ii) all other debt securities, and guarantees in
respect of those debt securities, issued to any other trust, or a trustee of
such trust, partnership or other entity affiliated with Greater Bay that is a
financing vehicle of Greater Bay (a "financing entity") in connection with the
issuance by such financing entity of equity securities or other securities
guaranteed by Greater Bay pursuant to an instrument that ranks pari passu with
or junior in right of payment to the Guarantee. The securing of any
Indebtedness, otherwise constituting Indebtedness Ranking on a Parity with the
Exchange Junior Subordinated Debentures, shall not be deemed to prevent such
Indebtedness from constituting Indebtedness Ranking on a Parity with the
Exchange Junior Subordinated Debentures.
 
  "Indebtedness Ranking Junior to the Exchange Junior Subordinated Debentures"
shall mean any Indebtedness, whether outstanding on the date of execution of
the Indenture or thereafter created, assumed or incurred, to the extent such
indebtedness by its terms ranks junior to and not pari passu with or prior to
the Exchange Junior Subordinated Debentures (and any other Indebtedness
Ranking on a Parity with the Exchange Junior Subordinated Debentures) in right
of payment upon the happening of the dissolution or winding-up or liquidation
or reorganization of Greater Bay. The securing of any Indebtedness, otherwise
constituting Indebtedness Ranking Junior to the Exchange Junior Subordinated
Debentures, shall not be deemed to prevent such Indebtedness from constituting
Indebtedness Ranking Junior to the Exchange Junior Subordinated Debentures.
 
  "Senior Indebtedness" shall mean the principal of (and premium, if any) and
interest, if any (including interest accruing on or after the filing of any
petition in bankruptcy or for reorganization relating to Greater Bay whether
or not such claim for post petition interest is allowed in such proceedings),
on all Indebtedness, whether outstanding on the date of execution of the
Indenture or thereafter created, assumed or incurred, except Indebtedness
Ranking on a Parity with the Junior Subordinated Debentures or Indebtedness
Ranking Junior to the Junior Subordinated Debentures, and any deferrals,
renewals or extensions of such Senior Indebtedness. Senior Indebtedness shall
include, without limiting the foregoing, the Subordinated Notes of the Company
and shall not include (a) any Indebtedness of Greater Bay which, when incurred
and without respect to any election under Section 1111(b) of the Bankruptcy
Reform Act of 1978, as amended, was without recourse to Greater Bay, (b) any
Indebtedness of Greater Bay to any of its subsidiaries, (c) any Indebtedness
to any employee of Greater Bay, and (d) any Junior Subordinated Debenture.
 
  At June 30, 1998, Greater Bay had $3.0 million face amount of Senior
Indebtedness outstanding.
 
  Greater Bay is a bank holding company and almost all of the operating assets
of Greater Bay are owned by Greater Bay's subsidiaries. Greater Bay relies
primarily on dividends from the Banks to meet its obligations for payment of
principal and interest on its outstanding debt obligations and corporate
expenses. Greater Bay is a legal entity separate and distinct from its
subsidiaries. Holders of Exchange Junior Subordinated Debentures should look
only to Greater Bay for payments on the Junior Subordinated Debentures. There
are regulatory limitations on the payment of dividends directly or indirectly
to Greater Bay from the Banks. See "--General." In addition, the Banks are
subject to certain restrictions imposed by federal law on any extensions of
credit to, and certain other transactions with, Greater Bay and certain other
affiliates, and on investments in stock or other securities thereof. Such
restrictions prevent Greater Bay and such other affiliates from borrowing from
the Banks unless the loans are secured by various types of collateral.
Further, such secured loans, other transaction and investments by the Banks
are generally limited in amount as to Greater Bay and as to each of such other
affiliates to 10% of each Banks's capital and surplus and as to Greater Bay
and all of such other affiliates to an aggregate of 20% of each Bank's capital
and surplus. Accordingly, the Exchange Junior Subordinated Debentures will be
effectively subordinated to all existing and future liabilities of Greater
Bay's subsidiaries.
 
 
                                      66
<PAGE>
 
  Because Greater Bay is a bank holding company, the right of Greater Bay to
participate in any distribution of assets of any subsidiary upon such
subsidiary's liquidation or reorganization or otherwise (and thus the ability
of holders of the Exchange Capital Securities to benefit indirectly from such
distribution), is subject to the prior claims of creditors of that subsidiary
(including depositors, in the case of the Banks), except to the extent Greater
Bay may itself be recognized as a creditor of that subsidiary. At June 30,
1998, the subsidiaries of Greater Bay had aggregate total liabilities,
including deposits, of $1.3 billion. Accordingly, the Exchange Junior
Subordinated Debentures will be effectively subordinated to all existing and
future liabilities of Greater Bay's subsidiaries (including the Banks' deposit
liabilities) and all liabilities of any future subsidiaries of Greater Bay.
The Indenture does not limit the incurrence or issuance of other secured or
unsecured debt of Greater Bay or any subsidiary, including Senior
Indebtedness.
 
RESTRICTIONS ON TRANSFER
 
  The Exchange Junior Subordinated Debentures will be issued, and may be
transferred, only in blocks having an aggregate principal amount of not less
than $100,000 (100 Exchange Junior Subordinated Debentures) and multiples of
$1,000 in excess thereof. Any such transfer of Exchange Junior Subordinated
Debentures in a block having an aggregate principal amount of less than
$100,000 shall be deemed to be void and of no legal effect whatsoever. Any
such transferee shall be deemed not to be the holder of such Exchange Junior
Subordinated Debentures for any purpose, including but not limited to the
receipt of payments on such Exchange Junior Subordinated Debentures, and such
transferee shall be deemed to have no interest whatsoever in such Exchange
Junior Subordinated Debentures.
 
 
INFORMATION CONCERNING THE DEBENTURE TRUSTEE
 
  Following the Exchange Offer and the qualification of the Indenture under
the Trust Indenture Act, the Debenture Trustee shall have and be subject to
all the duties and responsibilities specified with respect to an indenture
trustee under the Trust Indenture Act. Subject to such provisions, the
Debenture Trustee is under no obligation to exercise any of the powers vested
in it by the Indenture at the request of any holder of Exchange Junior
Subordinated Debentures, unless offered reasonable indemnity by such holder
against the costs, expenses and liabilities which might be incurred thereby.
The Debenture Trustee is not required to expend or risk its own funds or
otherwise incur personal financial liability in the performance of its duties
if the Debenture Trustee reasonably believes that repayment or adequate
indemnity is not reasonably assured to it.
 
GOVERNING LAW
 
  The Indenture and the Exchange Junior Subordinated Debentures will be
governed by and construed in accordance with the laws of the state of New
York.
 
                       DESCRIPTION OF EXCHANGE GUARANTEE
 
  The Exchange Guarantee will be executed and delivered by Greater Bay
concurrently with the issuance by the Trust of the Exchange Capital Securities
for the benefit of the holders from time to time of the Exchange Capital
Securities. The terms of the Exchange Guarantee are identical in all material
respects to the terms of the Original Guarantee. Wilmington Trust Company will
act as Guarantee Trustee under the Exchange Guarantee. The Exchange Guarantee
has been qualified under the Trust Indenture Act. This summary of certain
provisions of the Exchange Guarantee does not purport to be complete and is
subject to, and qualified in its entirety by reference to, all of the
provisions of the Exchange Guarantee, including the definitions therein of
certain terms, and the Trust Indenture Act. The Guarantee Trustee will hold
the Exchange Guarantee for the benefit of the holders of the Exchange Capital
Securities.
 
 
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<PAGE>
 
STATUS OF ORIGINAL GUARANTEE
 
  If not all the Original Capital Securities are exchanged for Exchange
Capital Securities in the Exchange Offer, the Original Guarantee will not
terminate, but will continue to guarantee the obligations of Greater Bay for
the benefit of the holders of Original Securities. The Original Guarantee will
terminate upon full payment of the applicable Redemption Price of the Original
Capital Securities, upon full payment of the Liquidation Amount payable upon
liquidation of the Trust or upon distribution of Original Junior Subordinated
Debentures to the holders of the Original Capital Securities. The Original
Guarantee will continue to be effective or will be reinstated, as the case may
be, if at any time any holder of the Original Capital Securities must restore
payment of any sums paid under the Original Capital Securities or the Original
Guarantee.
 
GENERAL
 
  Greater Bay will irrevocably agree to pay in full on a subordinated basis,
to the extent set forth herein, the Guarantee Payments (as defined herein) to
the holders of the Exchange Capital Securities, as and when due, regardless of
any defense, right of set-off or counterclaim that the Trust may have or
assert other than the defense of payment. The following payments with respect
to the Exchange Capital Securities, to the extent not paid by or on behalf of
the Trust (the "Guarantee Payments"), will be subject to the Exchange
Guarantee: (i) any accumulated and unpaid Distributions required to be paid on
the Exchange Capital Securities, to the extent that the Trust has funds
legally available therefor at such time, (ii) the applicable Redemption Price
with respect to the Exchange Capital Securities called for redemption, to the
extent that the Trust has funds legally available therefor at such time, and
(iii) upon a voluntary or involuntary dissolution, winding-up or liquidation
of the Trust (other than in connection with the distribution of the Exchange
Junior Subordinated Debentures to holders of the Exchange Capital Securities
or the redemption of all Exchange Capital Securities), the lesser of (a) the
Liquidation Distribution, to the extent the Trust has funds legally available
therefor at the time, and (b) the amount of assets of the Trust remaining
available for distribution to holders of Exchange Capital Securities after
satisfaction of liabilities to creditors of the Trust as required by
applicable law. Greater Bay's obligation to make a Guarantee Payment may be
satisfied by direct payment of the required amounts by Greater Bay to the
holders of the Exchange Capital Securities or by causing the Trust to pay such
amounts to such holders.
 
  Greater Bay will, through the Exchange Guarantee, the Trust Agreement, the
Exchange Junior Subordinated Debentures and the Indenture, taken together,
fully, irrevocably and unconditionally guarantee all of the Trust's
obligations under the Exchange Capital Securities. No single document standing
alone or operating in conjunction with fewer than all of the other documents
constitutes such guarantee. It is only the combined operation of these
documents that has the effect of providing a full, irrevocable and
unconditional guarantee of the Trust's obligations under the Exchange Capital
Securities. See "Relationship Among the Exchange Capital Securities, the
Exchange Junior Subordinated Debentures and the Exchange Guarantee."
 
STATUS OF THE EXCHANGE GUARANTEE
 
  The Exchange Guarantee will constitute an unsecured obligation of Greater
Bay and will rank subordinate and junior in right of payment to all Senior
Indebtedness in the same manner as the Exchange Junior Subordinated
Debentures. See "Description of Exchange Junior Subordinated Debentures--
Subordination." In addition, because Greater Bay is a holding company, the
right of Greater Bay to participate in any distribution of assets of any
subsidiary upon such subsidiary's liquidation or reorganization or otherwise
is subject to the prior claims of creditors of such subsidiary (including
depositors of the Banks), except to the extent Greater Bay may itself be
recognized as a creditor of such subsidiary. Accordingly, Greater Bay's
obligations under the Exchange Guarantee effectively will be subordinated to
all existing and future liabilities of Greater Bay's present and future
subsidiaries (including deposit liabilities of the Banks). As a result,
claimants should look only to the assets of Greater Bay for payment under the
Exchange Guarantee. See "Description of Exchange Junior Subordinated
Debentures--General." The Exchange Guarantee will rank pari passu with all
Other Guarantees issued by Greater Bay (if any) issued by Other Trusts.
 
 
                                      68
<PAGE>
 
  The Exchange Guarantee does not limit the amount of secured or unsecured
debt, including Senior Indebtedness, that may be incurred by Greater Bay or
any of it's subsidiaries. Greater Bay expects from time to time that it will
incur additional indebtedness constituting Senior Indebtedness and that it's
subsidiaries will incur additional liabilities.
 
  The Exchange Guarantee will constitute a guarantee of payment and not of
collection (i.e., the guaranteed party may institute a legal proceeding
directly against Greater Bay to enforce its rights under the Exchange
Guarantee without first instituting a legal proceeding against any other
person or entity). The Exchange Guarantee will be held for the benefit of the
holders of the Exchange Capital Securities. The Exchange Guarantee will not be
discharged except by payment of the Guarantee Payments in full to the extent
not paid by the Trust or upon distribution to the holders of the Exchange
Capital Securities of the Exchange Junior Subordinated Debentures.
 
EVENTS OF DEFAULT
 
  An event of default under the Exchange Guarantee will occur upon the failure
of Greater Bay to perform any of its payment or other obligations thereunder;
provided, however, that except with respect to a default in payment of any
Guarantee Payment, Greater Bay shall have received notice of default and shall
not have cured such default within 60 days after receipt of such notice.
 
  The holders of not less than a majority in Liquidation Amount of the
Exchange Capital Securities will have the right to direct the time, method and
place of conducting any proceeding for any remedy available to the Guarantee
Trustee in respect of the Exchange Guarantee or to direct the exercise of any
trust or power conferred upon the Guarantee Trustee under the Exchange
Guarantee. Any holder of the Exchange Capital Securities may institute a legal
proceeding directly against Greater Bay to enforce its rights under the
Exchange Guarantee without first instituting a legal proceeding against the
Trust, the Guarantee Trustee or any other person or entity.
 
  Greater Bay, as guarantor, will be required to file annually with the
Guarantee Trustee a certificate as to whether or not Greater Bay is in
compliance with all the conditions and covenants applicable to it under the
Exchange Guarantee.
 
AMENDMENTS AND ASSIGNMENT
 
  Except with respect to any changes that do not materially adversely affect
the rights of holders of the Exchange Capital Securities (in which case no
consent will be required), the Exchange Guarantee may not be amended without
the prior approval of the holders of a majority of the Liquidation Amount of
such outstanding Exchange Capital Securities. The manner of obtaining any such
approval will be as set forth under "--Description of Exchange Capital
Securities--Voting Rights; Amendment of the Trust Agreement." All guarantees
and agreements contained in the Exchange Guarantee shall bind the successors,
assigns, receivers, trustees and representatives of Greater Bay and shall
inure to the benefit of the holders of the Exchange Capital Securities then
outstanding.
 
TERMINATION OF THE EXCHANGE GUARANTEE
 
  The Exchange Guarantee will terminate and be of no further force and effect
upon full payment of the applicable Redemption Price of the Exchange Capital
Securities, upon full payment of the Liquidation Amount payable upon
liquidation of the Trust or upon distribution of Exchange Junior Subordinated
Debentures to the holders of the Exchange Capital Securities. The Exchange
Guarantee will continue to be effective or will be reinstated, as the case may
be, if at any time any holder of the Exchange Capital Securities must restore
payment of any sums paid under the Exchange Capital Securities or the Exchange
Guarantee.
 
 
                                      69
<PAGE>
 
INFORMATION CONCERNING THE GUARANTEE TRUSTEE
 
  The Guarantee Trustee, other than during the occurrence and continuance of a
default by Greater Bay in performance of the Exchange Guarantee, will
undertake to perform only such duties as are specifically set forth in the
Exchange Guarantee and, in case a default with respect to the Exchange
Guarantee has occurred, must exercise the same degree of care and skill as a
prudent person would exercise or use under the circumstances in the conduct of
his or her own affairs. Subject to this provision, the Guarantee Trustee will
be under no obligation to exercise any of the powers vested in it by the
Exchange Guarantee at the request of any holder of the Exchange Capital
Securities unless it is offered reasonable indemnity against the costs,
expenses and liabilities that might be incurred thereby.
 
GOVERNING LAW
 
  The Exchange Guarantee will be governed by and construed in accordance with
the laws of the State of New York.
 
                      DESCRIPTION OF ORIGINAL SECURITIES
 
  The terms of the Original Securities are identical in all materials respects
to the Exchange Securities, except that (i) the Original Securities have not
been registered under the Securities Act, are subject to certain restrictions
on transfer and are entitled to certain rights under the applicable
Registration Rights Agreement (which rights will terminate upon consummation
of the Exchange Offer, except under limited circumstances), (ii) the Exchange
Capital Securities will not provide for any increase in the Distribution Rate
thereon and (iii) the Exchange Junior Subordinated Debentures will not provide
for any liquidated damages thereon. The Original Securities provide that, if a
Registration Statement relating to the Exchange Offer has not been declared
effective by      , 1998 then liquidated damages will accrue at the rate of
0.25% per annum on the principal amount of the Original Junior Subordinated
Debentures and Distributions will accrue at the rate of 0.25% per annum on the
Liquidation Amount of the Original Capital Securities, for the period from the
occurrence of such event until such time as such Registration Statement has
been filed or declared effective, as the case may be. In addition, the
Original Capital Securities provide that, if the Trust has not exchanged
Exchange Capital Securities for all Original Capital Securities validly
tendered by the 45th day after the date on which the Registration Statement is
declared effective, the Distribution Rate borne by the Original Capital
Securities will increase by 0.25% per annum for the period from the occurrence
of such event until such time as the Exchange Offer has been consummated. The
Exchange Securities are not, and upon consummation of the Exchange Offer, the
Original Securities will not be, entitled to any such additional interest or
Distributions. Accordingly, holders of Original Capital Securities should
review the information set forth under "Risk Factors--Consequences of a
Failure to Exchange Original Capital Securities" and "Description of Exchange
Securities."
 
            RELATIONSHIP AMONG THE EXCHANGE CAPITAL SECURITIES, THE
                    EXCHANGE JUNIOR SUBORDINATED DEBENTURES
                          AND THE EXCHANGE GUARANTEE
 
FULL AND UNCONDITIONAL GUARANTEE
 
  Payments of Distributions and other amounts due on the Exchange Capital
Securities (to the extent the Trust has funds legally available for the
payment of such Distributions) will be irrevocably guaranteed by Greater Bay
as and to the extent set forth under "Description of Exchange Securities--
Description of Exchange Guarantee." Taken together, Greater Bay's obligations
under the Exchange Junior Subordinated Debentures, the Indenture, the Trust
Agreement and the Exchange Guarantee provide, in the aggregate, a full,
irrevocable and unconditional guarantee of payments of Distributions and other
amounts due on the Exchange Capital Securities. No single document standing
alone or operating in conjunction with fewer than all of the other documents
constitutes such guarantee. It is only the combined operation of these
documents that has the effect of providing a full, irrevocable
 
                                      70
<PAGE>
 
and unconditional guarantee of the Trust's obligations under the Exchange
Capital Securities. If and to the extent that Greater Bay does not make the
required payments on the Exchange Junior Subordinated Debentures, the Trust
will not have sufficient funds to make the related payments, including
Distributions, on the Exchange Capital Securities. The Exchange Guarantee will
not cover any such payment when the Trust does not have sufficient funds
legally available therefor. In such event, the remedy of a holder of Exchange
Capital Securities is to institute a Direct Action. The obligations of Greater
Bay under the Exchange Guarantee will be subordinate and junior in right of
payment to all Senior Indebtedness.
 
SUFFICIENCY OF PAYMENTS
 
  As long as payments of interest and other payments are made when due on the
Exchange Junior Subordinated Debentures, such payments will be sufficient to
cover Distributions and other payments due on the Exchange Capital Securities,
primarily because: (i) the aggregate principal amount or Prepayment Price of
the Exchange Junior Subordinated Debentures will be equal to the sum of the
aggregate Liquidation Amount or Redemption Price, as applicable, of the Trust
Securities; (ii) the interest rate and interest and other payment dates on the
Exchange Junior Subordinated Debentures will match the Distribution Rate and
Distribution and other payment dates for the Trust Securities; (iii) Greater
Bay, as Sponsor, shall pay for all and any costs, expenses and liabilities of
the Trust except the Trust's obligations to holders of Trust Securities under
the Trust Agreement; and (iv) the Trust Agreement further provides that the
Trust is not authorized to engage in any activity that is not consistent with
the limited purposes thereof.
 
ENFORCEMENT RIGHTS OF HOLDERS OF EXCHANGE CAPITAL SECURITIES
 
  A holder of any Exchange Capital Security may institute a legal proceeding
directly against Greater Bay to enforce its rights under the Exchange
Guarantee without first instituting a legal proceeding against the Guarantee
Trustee, the Trust or any other person or entity.
 
  A default or event of default under any Senior Indebtedness would not
constitute a default or Event of Default under the Trust Agreement. However,
in the event of payment defaults under, or acceleration of, Senior
Indebtedness, the subordination provisions of the Indenture provide that no
payments may be made in respect of the Exchange Junior Subordinated Debentures
until all Allocable Amounts due on or in respect of such Senior Indebtedness
has been paid in full or any payment default thereunder has been cured or
waived. Failure to make required payments on Exchange Junior Subordinated
Debentures would constitute an Event of Default under the Trust Agreement.
 
LIMITED PURPOSE OF THE TRUST
 
  The Capital Securities will represent beneficial interests in the Trust, and
the Trust exists for the sole purpose of issuing and selling the Trust
Securities, using the proceeds from the sale of the Trust Securities to
acquire the Original Junior Subordinated Debentures, exchanging the Original
Capital Securities and the Original Junior Subordinated Debentures in the
Exchange Offer, and engaging in only those other activities necessary,
advisable or incidental thereto.
 
RIGHTS UPON DISSOLUTION
 
  Unless the Exchange Junior Subordinated Debentures are distributed to
holders of the Exchange Capital Securities, upon any voluntary or involuntary
dissolution, winding-up or liquidation of the Trust, after satisfaction of the
liabilities of creditors of the Trust as required by applicable law, the
holders of the Exchange Capital Securities will be entitled to receive, out of
assets held by the Trust, the Liquidation Distribution in cash. See
"Description of Exchange Securities--Description of Exchange Capital
Securities--Liquidation of the Trust and Distribution of Exchange Junior
Subordinated Debentures." Upon any voluntary or involuntary liquidation or
bankruptcy of Greater Bay, the Property Trustee, as holder of the Exchange
Junior Subordinated Debentures, would be a subordinated creditor of Greater
Bay, subordinated in right of payment to all Senior Indebtedness as
 
                                      71
<PAGE>
 
set forth in the Indenture, but entitled to receive payment in full of
principal (and premium, if any) and interest, before any stockholders of
Greater Bay receive payments or distributions.
 
                    CERTAIN FEDERAL INCOME TAX CONSEQUENCES
 
GENERAL
 
  The following is a summary of certain of the material United States federal
income tax consequences associated with the exchange of Original Capital
Securities for Exchange Capital Securities and with the ownership and
disposition of Capital Securities held as capital assets by a holder who
purchased Original Capital Securities upon initial issuance. It does not
purport to deal with all aspects of federal income taxation that might be
relevant to particular holders in light of their personal investment
circumstances or status, nor does it discuss the federal income tax
consequences to certain types of holders subject to special treatment under
the federal income tax laws, such as banks, thrifts, real estate investment
trusts, regulated investment companies, insurance companies, dealers in
securities or currencies, tax-exempt investors, United States Alien Holders
engaged in a U.S. trade or business or persons that will hold the Capital
Securities as a position in a "straddle," as part of a "synthetic security" or
"hedge," as part of a "conversion transaction" or other integrated investment,
or as other than a capital asset. This summary also does not address the tax
consequences to persons that have a functional currency other than the U.S.
dollar or the tax consequences to shareholders, partners or beneficiaries of a
holder of Capital Securities. Further, it does not include any description of
any alternative minimum tax consequences or the tax laws of any state or local
government or of any foreign government that may be applicable to the Capital
Securities. This summary is based on the Internal Revenue Code of 1986, as
amended (the "Code"), Treasury regulations thereunder and the administrative
and judicial interpretations thereof, as of the date hereof, all of which are
subject to change, possibly on a retroactive basis. The discussion herein is
based upon opinions issued by Manatt, Phelps & Phillips, LLP ("Tax Counsel").
An opinion of Tax Counsel is not binding on the Internal Revenue Service
("IRS") or the courts. No rulings have been or are expected to be sought from
the IRS with respect to any of the transactions described herein and no
assurance can be given that the IRS will not take contrary positions.
Moreover, no assurance can be given that the opinions expressed herein will
not be challenged by the IRS or, if challenged, that such a challenge would
not be successful. Tax Counsel has reviewed this summary and is of the opinion
that, to the extent that it constitutes matters of law or purports to describe
certain provisions of the federal income tax laws, it is a correct summary in
all material respects of the matters discussed herein.
 
EXCHANGE OF CAPITAL SECURITIES
 
  In the opinion of Tax Counsel, the exchange of Original Capital Securities
for Exchange Capital Securities will not be a taxable event to holders for
federal income tax purposes. The exchange of Original Capital Securities for
Exchange Capital Securities pursuant to the Exchange Offer should not be
treated as an "exchange" for federal income tax purposes because the Exchange
Capital Securities should not be considered to differ materially in kind or
extent from the Original Capital Securities and because the exchange will
occur by operation of the terms of the Original Capital Securities.
Accordingly, the Exchange Capital Securities should have the same issue price
as the Original Capital Securities, and a holder should have the same adjusted
tax basis and holding period in the Exchange Capital Securities immediately
after the exchange as the holder had in the Original Capital Securities
immediately before the exchange.
 
CLASSIFICATION OF THE JUNIOR SUBORDINATED DEBENTURES
 
  Greater Bay intends to take the position that the Junior Subordinated
Debentures will be classified for federal income tax purposes as indebtedness
of Greater Bay. This is consistent with an opinion rendered by Tax Counsel in
connection with the issuance of the Original Capital Securities. Greater Bay,
the Trust and the holders of the Capital Securities (by acceptance of a
beneficial interest in a Capital Security) will agree to treat the Junior
Subordinated Debentures as indebtedness of Greater Bay and the Capital
Securities as evidence of a beneficial ownership interest in the Junior
Subordinated Debentures for all federal income tax purposes. No assurance can
 
                                      72
<PAGE>
 
be given, however, that such position will not be challenged by the IRS or, if
challenged, that such a challenge will not be successful. The remainder of
this discussion assumes that the Junior Subordinated Debentures will be
classified as indebtedness of Greater Bay for federal income tax purposes.
 
  Enron Corporation has filed a petition in the United States Tax Court
challenging the proposed disallowance by the IRS of the deduction of interest
expense on securities issued by Enron Corporation in 1993 and 1994 that are
similar to, although different in a number of respects from, the Junior
Subordinated Debentures. The opinion of Tax Counsel regarding the tax
classification of the Junior Subordinated Debentures speaks to the state of
the law prior to any Tax Court decision regarding the issues in the Enron
petition. A decision of the Tax Court in the Enron matter upholding the
position of the IRS would not necessarily affect the tax treatment of interest
paid on the Junior Subordinated Debentures because such a decision may be
based on factors that differ from those pertaining to the Junior Subordinated
Debentures, the Trust or Greater Bay. However, it is possible that such
decision would result in the receipt by Greater Bay or the Trust of a
subsequent opinion of counsel that there is more than insubstantial risk that
interest payable on the Junior Subordinated Debentures is not or will not be
deductible. The receipt of such an opinion would constitute a Tax Event, which
would permit Greater Bay to cause a redemption of the Capital Securities.
 
CLASSIFICATION OF THE TRUST
 
  In connection with the issuance of the Original Capital Securities, Tax
Counsel rendered its opinion generally to the effect that, under then-current
law and assuming full compliance with the terms of the Trust Agreement and the
Indenture (and certain other documents), and based on certain facts and
assumptions contained in such opinion, the Trust will be classified for
federal income tax purposes as a grantor trust and not as an association
taxable as a corporation. Accordingly, for federal income tax purposes, each
holder of Capital Securities generally will be considered the owner of an
undivided interest in the Junior Subordinated Debentures, and each holder will
be required to include in its gross income any interest (or OID accrued) with
respect to its allocable share of those Junior Subordinated Debentures.
 
INTEREST INCOME AND ORIGINAL ISSUE DISCOUNT
 
  Under recently issued Treasury regulations (the "Treasury Regulations")
applicable to debt instruments issued on or after August 13, 1996, a "remote"
contingency that stated interest will not be timely paid will be ignored in
determining whether a debt instrument is issued with OID. Greater Bay believes
that the likelihood of its exercising its option to defer payments of interest
is "remote" since exercising that option would, among other things, prevent
Greater Bay from declaring dividends on any class of its equity securities.
Accordingly, Greater Bay intends to take the position that the Junior
Subordinated Debentures will not be considered to be issued with OID and,
accordingly, stated interest on the Junior Subordinated Debentures generally
will be taxable to a holder as ordinary income at the time it is paid or
accrued in accordance with such holder's method of tax accounting.
 
  Under the Treasury Regulations, if Greater Bay were to exercise its option
to defer payments of interest, the Junior Subordinated Debentures would at
that time be treated as issued with OID, and all stated interest on the Junior
Subordinated Debentures would thereafter be treated as OID as long as the
Junior Subordinated Debentures remain outstanding. In such event, all of a
holder's taxable interest income with respect to the Junior Subordinated
Debentures would thereafter be accounted for on an economic accrual basis
regardless of such holder's method of tax accounting, and actual distributions
of stated interest would not be reported as taxable income. Consequently, a
holder of Capital Securities would be required to include in gross income OID
even though Greater Bay would not make actual cash payments during an
Extension Period. Moreover, under the Treasury Regulations, if the option to
defer the payment of interest was determined not to be "remote," the Junior
Subordinated Debentures would be treated as having been originally issued with
OID. In such event, all of a holder's taxable interest income with respect to
the Junior Subordinated Debentures would be accounted for on an economic
accrual basis regardless of such holder's method of tax accounting, and actual
distributions of stated interest would not be reported as taxable income.
 
                                      73
<PAGE>
 
  The Treasury Regulations have not yet been addressed in any rulings or other
interpretations by the IRS, and it is possible that the IRS could take a
position contrary to the interpretation described herein.
 
  Because income on the Capital Securities will constitute interest or OID,
corporate holders of the Capital Securities will not be entitled to a
dividends-received deduction with respect to any income recognized with
respect to the Capital Securities.
 
RECEIPT OF JUNIOR SUBORDINATED DEBENTURES OR CASH UPON LIQUIDATION OF THE
TRUST
 
  Greater Bay will have the right at any time to liquidate the Trust and cause
the Junior Subordinated Debentures to be distributed to the holders of the
Trust Securities. Under current law, such a distribution, for federal income
tax purposes, would be treated as a nontaxable event to each holder, and each
holder would receive an aggregate tax basis in the Junior Subordinated
Debentures equal to such holder's aggregate tax basis in its Capital
Securities. A holder's holding period in the Junior Subordinated Debentures so
received in liquidation of the Trust would include the period during which the
Capital Securities were held by such holder. If, however, the Trust were
characterized for federal income tax purposes as an association taxable as a
corporation at the time of its dissolution, the distribution of the Junior
Subordinated Debentures may constitute a taxable event to holders of Capital
Securities and a holder's holding period in Junior Subordinated Debentures
would begin on the date such Junior Subordinated Debentures were received.
 
  Under certain circumstances described herein (see "Description of Exchange
Securities--Description of Exchange Capital Securities"), the Junior
Subordinated Debentures may be redeemed for cash and the proceeds of such
redemption distributed to holders in redemption of their Capital Securities.
Under current law, such a redemption would, for federal income tax purposes,
constitute a taxable disposition of the redeemed Capital Securities, and a
holder could recognize gain or loss as if it sold such redeemed Capital
Securities for cash. See "--Sales of Capital Securities."
 
 
SALES OF CAPITAL SECURITIES
 
  A holder that sells Capital Securities (including a redemption of the
Capital Securities either on the Stated Maturity Date or upon an optional
redemption of the Junior Subordinated Debentures by Greater Bay) will
recognize gain or loss equal to the difference between its adjusted tax basis
in Capital Securities and the amount realized on the sale of such Capital
Securities (other than with respect to accrued and unpaid interest which has
not yet been included in income, which will be treated as ordinary income). A
holder's adjusted tax basis in the Capital Securities generally will be its
initial purchase price increased by OID (if any) previously includible in such
holder's gross income to the date of disposition and decreased by payments (if
any) received on the Capital Securities in respect of OID. Such gain or loss
generally will be a capital gain or loss and generally will be a long-term
capital gain or loss if the Capital Securities have been held for more than
one year. As a result of the IRS Restructuring and Reform Act of 1998, for
individuals the maximum tax on long term capital gains on most assets is 20%
for amounts properly taken into account after January 1, 1998.
 
  The Capital Securities may trade at a price that does not accurately reflect
the value of accrued but unpaid interest with respect to the underlying Junior
Subordinated Debentures. A holder who uses the accrual method of accounting
for tax purposes (and a cash method holder, if the Junior Subordinated
Debentures are deemed to have been issued with OID) who disposes of his
Capital Securities between record dates for payments of distributions thereon
will be required to include accrued but unpaid interest on the Junior
Subordinated Debentures through the date of disposition in income as ordinary
income (i.e., interest or, if applicable, OID), and to add such amount to his
adjusted tax basis in his pro rata share of the underlying Junior Subordinated
Debentures deemed disposed of. To the extent the selling price is less than
the holder's adjusted tax basis (which will include all accrued but unpaid
interest) a holder will recognize a capital loss. Subject to certain limited
exceptions, capital losses cannot be applied to offset ordinary income for
federal income tax purposes.
 
 
                                      74
<PAGE>
 
PROPOSED TAX LEGISLATION
 
  The Taxpayer Relief Act of 1997, enacted on August 5, 1997, did not contain
certain provisions of President Clinton's Fiscal 1998 Budget Proposal that
would, among other things, have denied an issuer a deduction for United States
federal income tax purposes for the payment of interest on instruments with
characteristics similar to the Junior Subordinated Debentures. There can be no
assurances, however, that the proposed legislation, if enacted, or similar
legislation enacted after the date hereof would not adversely affect the tax
treatment of the Junior Subordinated Debentures, resulting in a Tax Event. The
occurrence of a Tax Event may result in the redemption of the Junior
Subordinated Debentures for cash, in which event the holders of the Capital
Securities would receive cash in redemption of their Capital Securities. See
"Description of Exchange Capital Securities--Redemption" and "Description of
Exchange Junior Subordinated Debentures--Special Event Prepayment."
 
UNITED STATES ALIEN HOLDERS
 
  For purposes of this discussion, a "United States Alien Holder" is any
corporation, individual, partnership, estate or trust that is not a U.S.
Holder for federal income tax purposes.
 
  A "U.S. Holder" is a holder of Capital Securities who or which is (i) a
citizen or individual resident (or is treated as a citizen or individual
resident) of the United States for federal income tax purposes, (ii) a
corporation or partnership created or organized in or under the laws of the
United States or any political subdivision thereof, or (iii) a trust or estate
the income of which is includible in its gross income for federal income tax
purposes without regard to its source. Generally, a trust is a U.S. Holder if,
and only if, (a) a court within the United States is able to exercise primary
supervision over the administration of the trust and (b) one or more United
States trustees have the authority to control all substantial decisions of the
trust.
 
  Under present federal income tax laws: (i) payments by the Trust or any of
its paying agents to any holder of a Capital Security who or which is a United
States Alien Holder will not be subject to federal withholding tax; provided
that, (a) the beneficial owner of the Capital Security does not actually or
constructively own 10% or more of the total combined voting power of all
classes of stock of Greater Bay entitled to vote, (b) the beneficial owner of
the Capital Security is not a controlled foreign corporation that is related
to Greater Bay through stock ownership, and (c) either (1) the beneficial
owner of the Capital Security certifies to the Trust or its agent, under
penalties of perjury, that it is not a U.S. holder and provides its name and
address or (2) a securities clearing organization, bank or other financial
institution that holds customers' securities in the ordinary course of its
trade or business (a "Financial Institution"), and holds the Capital Security
in such capacity, certifies to the Trust or its agent, under penalties of
perjury, that such statement has been received from the beneficial owner by it
or by a Financial Institution between it and the beneficial owner and
furnishes the Trust or its agent with a copy thereof; and (ii) a United States
Alien Holder of a Capital Security will not be subject to federal withholding
tax on any gain realized upon the sale or other disposition of a Capital
Security.
 
  Regulations recently issued by the IRS, which will be effective for payments
made after December 31, 1998 (subject to certain transition rules), make
modifications to the certification procedures applicable to United States
Alien Holders. In general, these regulations unify certification procedures
and forms and clarify and modify reliance standards. A United States Alien
Holder should consult with its own advisor regarding the effect of the new
Treasury Regulations.
 
  As discussed above, changes in legislation affecting the federal income tax
treatment of the Junior Subordinated Debentures are possible, and could
adversely affect the ability of Greater Bay to deduct the interest payable on
the Junior Subordinated Debentures. Moreover, any such legislation could
adversely affect United States Alien Holders by characterizing income derived
from the Junior Subordinated Debentures as dividends, generally subject to a
30% income tax (on a withholding basis) when paid to a United States Alien
Holder, rather than as interest which, as discussed above, is generally exempt
from income tax in the hands of a United States Alien Holder.
 
INFORMATION REPORTING TO HOLDERS
 
  Generally, income on the Capital Securities will be reported to holders on
Form 1099, which forms should be mailed to holders of Capital Securities by
January 31 following each calendar year.
 
 
                                      75
<PAGE>
 
BACKUP WITHHOLDING
 
  Payments made on, and proceeds from the sale of, the Capital Securities may
be subject to a "backup" withholding tax of 31% unless the holder complies
with certain identification requirements. Any withheld amounts will be allowed
as a credit against the holder's federal income tax, provided the required
information is provided to the IRS.
 
  THE UNITED STATES FEDERAL INCOME TAX DISCUSSION SET FORTH ABOVE IS INCLUDED
FOR GENERAL INFORMATION ONLY AND MAY NOT BE APPLICABLE DEPENDING UPON A
HOLDER'S PARTICULAR SITUATION. HOLDERS SHOULD CONSULT THEIR TAX ADVISORS WITH
RESPECT TO THE TAX CONSEQUENCES TO THEM OF THE EXCHANGE OF ORIGINAL CAPITAL
SECURITIES FOR EXCHANGE CAPITAL SECURITIES AND OF THE OWNERSHIP AND
DISPOSITION OF THE CAPITAL SECURITIES, INCLUDING THE TAX CONSEQUENCES UNDER
STATE, LOCAL, FOREIGN AND OTHER TAX LAWS AND THE POSSIBLE EFFECTS OF CHANGES
IN UNITED STATES FEDERAL OR OTHER TAX LAWS.
 
                         CERTAIN ERISA CONSIDERATIONS
 
  In evaluating the Exchange Capital Securities, a fiduciary of a qualified
profit-sharing, pension or stock bonus plan, including a plan for self-
employed individuals and their employees or any other employee benefit plan
subject to the Employee Retirement Income Security Act of 1974, as amended
("ERISA"), a collective investment fund or separate account in which such
plans invest and any other investor using assets that are treated as assets of
an employee benefit plan subject to ERISA (each, a "Plan" and collectively,
"Plans") should consider (a) whether the ownership of Exchange Capital
Securities is in accordance with the documents and instruments governing such
Plan; (b) whether the ownership of Exchange Capital Securities is solely in
the interest of Plan participants and beneficiaries and otherwise consistent
with the fiduciary's responsibilities and in compliance with the requirements
of Part 4 of Title I of ERISA, including, in particular, the diversification,
prudence and liquidity requirements of Section 404 of ERISA and the prohibited
transaction provisions of Section 406 of ERISA and Section 4975 of the Code;
(c) whether the assets of GBB Capital II are treated as assets of the Plan;
and (d) the need to value the assets of the Plan annually. In addition, the
fiduciary of an individual retirement arrangement under 408 of the Code (an
"IRA") considering the purchase of Exchange Capital Securities should consider
whether the ownership of Exchange Capital Securities would result in a non-
exempt prohibited transaction under Section 4975 of the Code.
 
  Governmental plans and certain church plans (each as defined under ERISA)
are not subject to the prohibited transactions rules. Such plans may, however,
be subject to federal, state or local laws or regulations which may affect
their investment in the Exchange Capital Securities. Any fiduciary of such a
governmental or church plan considering an investment in the Exchange Capital
Securities should determine the need for, and the availability, if necessary,
of any exemptive relief under such laws or regulations.
 
  The fiduciary investment considerations summarized below provide a general
discussion that does not include all of the fiduciary investment
considerations relevant to Plans and, where indicated, IRAs. This summary is
based on the current provisions of ERISA and the Code and regulations and
rulings thereunder, and may be changed (perhaps adversely and with retroactive
effect) by future legislative, administrative or judicial actions.
 
  PLANS AND IRAS THAT ARE PROSPECTIVE PURCHASERS OF EXCHANGE CAPITAL
SECURITIES SHOULD CONSULT WITH AND RELY UPON THEIR OWN ADVISORS IN EVALUATING
THESE MATTERS IN LIGHT OF THEIR OWN PARTICULAR CIRCUMSTANCES.
 
PLAN ASSET REGULATION
 
  Under Department of Labor regulations governing what constitutes the assets
of a Plan or IRA ("Plan Assets") for purposes of ERISA and the related
prohibited transaction provisions of the Code (the "Plan Asset
 
                                      76
<PAGE>
 
Regulation", 29 C.F.R. Sec. 2510.3-101), when a Plan or IRA acquires an equity
interest in another entity, and such interest does not represent a "publicly
offered security" nor a security issued by an investment company registered
under the 1940 Act, the Plan's assets include both the equity interest and an
undivided interest in each of the underlying assets or the entity, unless it
is established either that the entity is an operating company or that equity
participation in the entity by "benefit plan investors," as defined in the
Plan Asset Regulation, is not "significant." For purposes of the Plan Asset
Regulation GBB Capital II will be neither an investment company nor an
operating company.
 
  Under the Plan Asset Regulation, equity participation by benefit plan
investors will not be considered "significant" on any date only if immediately
after the most recent acquisition of the Exchange Capital Securities, the
aggregate interest in the Exchange Capital Securities held by benefit plan
investors will be less than 25% of the aggregate outstanding principal amount
of the Exchange Capital Securities. Although it is possible that the equity
participation by benefit plan investors on any date will not be "significant"
for purposes of the Plan Asset Regulation, such result cannot be assured.
Consequently, if Plans, IRAs or investors using assets of Plans purchase the
Exchange Capital Securities, GBB Capital II's assets could be deemed to be
"plan assets" of such Plans and/or IRAs for purposes of the fiduciary
responsibility provisions of ERISA and the prohibited transactions rules of
ERISA and the Code. Under ERISA and the Code, any person who exercises any
authority or control respecting the management or disposition of the assets of
a Plan or IRA is considered to be fiduciary of such Plan or IRA. The Property
Trustee could therefore become a fiduciary of the Plans and IRAs that invest
in the Exchange Capital Securities and be subject to the general fiduciary
requirements of ERISA in exercising its authority with respect to the
management of the assets of GBB Capital II. However, the Property Trustee will
have only limited discretionary authority with respect to GBB Capital II
assets and the remaining functions and responsibilities performed by the
Property Trustee will be for the most part custodial and ministerial in
nature.
 
 
PROHIBITED TRANSACTIONS
 
  Each of GBB Capital II Greater Bay (the obligor with respect to the Junior
Subordinated Debentures held by GBB Capital II) and their affiliates or the
Property Trustee may be a party in interest or a disqualified person with
respect to a Plan or IRA investing in the Exchange Capital Securities.
Therefore, such investment by a Plan or IRA may give rise to a prohibited
transaction. Consequently, before investing in the Exchange Capital Securities
or acquiring Junior Subordinated Debentures, any person who is, or who is
acquiring such securities for, or on behalf of, a Plan or IRA should determine
that either a statutory or an administrative exemption from the prohibited
transaction rules discussed below or otherwise available is applicable to such
investment in the Exchange Capital Securities, or that such investment in, or
acquisition of, such securities will not result in a non-exempt prohibited
transaction.
 
  The statutory or administrative exemptions from the prohibited transaction
rules under ERISA and the Code which may be available to a Plan or IRA which
is investing in the Exchange Capital Securities include: Prohibited
Transaction Class Exemption ("PTCE") 90-1, regarding investments by insurance
company pooled separate accounts; PTCE 91-38, regarding investments by bank
collective investment funds; PTCE 84-14, regarding transactions effected by
qualified professional asset managers; PTCE 96-23, regarding transactions
effected by in-house asset managers; and PTCE 95-60, regarding investments by
insurance company general accounts (collectively referred to as the "ERISA
Investor Exemptions").
 
  No person who is, or who in acquiring Exchange Capital Securities is using
the assets of, a Plan or IRA may acquire Exchange Capital Securities unless
one of the ERISA Investor Exemptions or another applicable exemption is
available to the Plan or IRA, or such acquisition or holding of Exchange
Capital Securities will not result in a non-exempt Prohibited Transaction. The
acquisition of the Exchange Capital Securities by any person who is, or who in
acquiring such Exchange Capital Securities is using the assets of, a Plan or
IRA shall be deemed to constitute a representation by such person to GBB
Capital II, Greater Bay and the Initial Purchaser either that (a) it is not a
Plan, IRA, trustee or other person acting on behalf of a Plan or IRA or other
person or entity using the assets of any Plan or IRA to finance such purchase
or (b) such acquisition will not result in a
 
                                      77
<PAGE>
 
prohibited transaction under Section 406 of ERISA or Section 4975 of the Code
for which there is no applicable statutory or administrative exemption.
 
  THE DISCUSSION HEREIN OF ERISA IS GENERAL IN NATURE AND IS NOT INTENDED TO
BE ALL INCLUSIVE. ANY FIDUCIARY OF A PLAN, IRA, GOVERNMENTAL PLAN OR CHURCH
PLAN CONSIDERING AN INVESTMENT IN THE EXCHANGE CAPITAL SECURITIES SHOULD
CONSULT WITH ITS LEGAL ADVISORS REGARDING THE CONSEQUENCES OF SUCH INVESTMENT
AND CONSIDER WHETHER THE PLAN OR IRA CAN MAKE THE REPRESENTATIONS NOTED ABOVE.
 
  FURTHER, THE SALE OF INVESTMENTS TO PLANS AND IRAS IS IN NO RESPECT A
REPRESENTATION BY GBB CAPITAL II, GREATER BAY, THE PROPERTY TRUSTEE, THE
INITIAL PURCHASER OR ANY OTHER PERSON ASSOCIATED WITH THE SALE OF THE EXCHANGE
CAPITAL SECURITIES THAT SUCH SECURITIES MEET ALL RELEVANT LEGAL REQUIREMENTS
WITH RESPECT TO INVESTMENTS BY PLANS AND IRAS GENERALLY OR ANY PARTICULAR
PLAN, OR THAT SUCH SECURITIES ARE OTHERWISE APPROPRIATE FOR PLANS AND IRAS
GENERALLY OR ANY PARTICULAR PLAN. ANY PURCHASER PROPOSING TO ACQUIRE CAPITAL
SECURITIES WITH ASSETS OF ANY PLAN OR IRA SHOULD CONSULT WITH ITS COUNSEL.
 
                             PLAN OF DISTRIBUTION
 
  Each broker-dealer that receives Exchange Capital Securities for its own
account pursuant to the Exchange Offer must acknowledge that it will deliver a
prospectus in connection with any resale of such Exchange Capital Securities.
This Prospectus, as it may be amended or supplemented from time to time, may
be used by a broker-dealer in connection with resales of Exchange Capital
Securities received in exchange for Original Capital Securities where such
Original Capital Securities were acquired by such broker-dealer as a result of
market-making activities or other trading activities. The Trust and Greater
Bay have agreed that, starting on the Expiration Date and ending on the close
of business on the 90th day following the Expiration Date, it will make this
Prospectus, as amended or supplemented, available to any broker-dealer for use
in connection with any such resale. In addition, for a period of 90 days after
the Expiration Date, all dealers effecting transactions in the Exchange
Securities may be required to deliver a prospectus.
 
  The Trust and Greater Bay will not receive any proceeds from any sale of
Exchange Capital Securities by broker-dealers. Exchange Capital Securities
received by broker-dealers for their own account pursuant to the Exchange
Offer may be sold from time to time in one or more transactions, in the over-
the-counter market, in negotiated transactions, through the writing of options
on the Exchange Capital Securities or a combination of such methods of resale,
at market prices prevailing at the time of resale, at prices related to such
prevailing market prices or at negotiated prices. Any such resale may be made
directly to purchasers or to or through brokers or dealers who may receive
compensation in the form of commissions or concessions from any such broker-
dealer and/or the purchasers of any such Exchange Capital Securities. Any
broker-dealer that resells Exchange Capital Securities that were received by
it for its own account pursuant to the Exchange Offer and any broker or dealer
that participates in a distribution of such Exchange Capital Securities may be
deemed to be an "underwriter" within the meaning of the Securities Act and any
profit of any such resale of Exchange Capital Securities and any commissions
or concessions received by any such persons may be deemed to be underwriting
compensation under the Securities Act. The Letter of Transmittal states that
by acknowledging that it will deliver and by delivering a prospectus, a
broker-dealer will not be deemed to admit that it is an "underwriter" within
the meaning of the Securities Act.
 
  For a period of 90 days after the Expiration Date, the Trust and Greater Bay
will promptly send additional copies of this Prospectus and any amendment or
supplement to this Prospectus to any broker-dealer that requests such
documents in the Letter of Transmittal. The Trust and Greater Bay have agreed
to pay all expenses incident
 
                                      78
<PAGE>
 
to the Exchange Offer (including the expenses of one counsel for the holders
of the Capital Securities) other than commissions or concessions of any
brokers or dealers and will indemnify the holders of the Exchange Capital
Securities (including any broker-dealers) against certain liabilities,
including liabilities under the Securities Act.
 
                        VALIDITY OF EXCHANGE SECURITIES
 
  The validity of the Exchange Capital Securities, the Exchange Guarantee and
the Exchange Junior Subordinated Debentures will be passed upon for Greater
Bay by Manatt, Phelps & Phillips, LLP. Certain matters of Delaware law
relating to the validity of the Exchange Capital Securities will be passed
upon on behalf of the Trust by Richards, Layton & Finger, P.A., special
Delaware counsel to the Trust. Certain matters relating to federal income tax
considerations will be passed upon for Greater Bay by Manatt, Phelps &
Phillips, LLP, special tax counsel to Greater Bay.
 
                                    EXPERTS
 
  The consolidated balance sheets as of December 31, 1997 and 1996 and the
consolidated statements of operations, shareholders' equity and cash flows for
each of the three years in the period ended December 31, 1997 incorporated by
reference in this Registration Statement, have been incorporated herein in
reliance on the report of PricewaterhouseCoopers LLP, independent accountants,
given on the authority of that firm as experts in accounting and auditing.
 
 
                                      79
<PAGE>
 
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
 
  NO DEALER, SALESPERSON OR OTHER PERSON HAS BEEN AUTHORIZED TO GIVE ANY
INFORMATION OR TO MAKE REPRESENTATIONS OTHER THAN THOSE CONTAINED IN THIS
PROSPECTUS IN CONNECTION WITH THE OFFER MADE BY THIS PROSPECTUS, AND, IF GIVEN
OR MADE, SUCH INFORMATION OR REPRESENTATIONS MUST NOT BE RELIED UPON AS HAVING
BEEN AUTHORIZED BY GREATER BAY OR THE TRUST. NEITHER THE DELIVERY OF THIS
PROSPECTUS NOR ANY SALE MADE HEREUNDER SHALL UNDER ANY CIRCUMSTANCE CREATE AN
IMPLICATION THAT THE INFORMATION CONTAINED HEREIN IS CORRECT AS OF ANY TIME
SUBSEQUENT TO THE DATE HEREOF. THIS PROSPECTUS DOES NOT CONSTITUTE AN OFFER OR
SOLICITATION BY ANYONE IN ANY JURISDICTION IN WHICH SUCH OFFER OR SOLICITATION
IS NOT AUTHORIZED OR IN WHICH THE PERSON MAKING SUCH OFFER OR SOLICITATION IS
NOT QUALIFIED TO DO SO OR TO ANYONE TO WHOM IT IS UNLAWFUL TO MAKE SUCH OFFER
OR SOLICITATION.
 
                               ----------------
 
                               TABLE OF CONTENTS
 
<TABLE>
<CAPTION>
                                                                           PAGE
                                                                           ----
<S>                                                                        <C>
Available Information.....................................................   7
Information Delivered and Incorporated by Reference.......................   9
Summary...................................................................  10
Selected Consolidated Financial Data......................................  19
Recent Developments.......................................................  21
Risk Factors..............................................................  22
Exchange Offer Procedures.................................................  28
Greater Bay Bancorp.......................................................  30
GBB Capital II............................................................  32
Use of Proceeds...........................................................  33
Regulatory Capital Ratios.................................................  33
Accounting Treatment......................................................  34
Capitalization............................................................  34
The Exchange Offer........................................................  35
Resales of Exchange Capital Securities....................................  40
Description of Exchange Securities........................................  45
Description of Exchange Capital Securities................................  45
Liquidation of the Trust and Distribution of Exchange Junior Subordinated
 Debentures...............................................................  48
Description of Exchange Junior Subordinated Debentures....................  57
Description of Exchange Guarantee.........................................  67
Description of Original Securities........................................  70
Relationship among the Exchange Capital Securities, the Exchange Junior
 Subordinated Debentures and the Exchange Guarantee.......................  70
Certain Federal Income Tax Consequences...................................  72
Certain ERISA Considerations..............................................  76
Plan of Distribution......................................................  78
Validity of Exchange Securities...........................................  79
Experts...................................................................  79
</TABLE>
 
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
 
                                GBB CAPITAL II
 
                      Offer to Exchange its Floating Rate
      Capital Securities, Series B Fully and Unconditionally Guaranteed,
                            as Described Herein, by
 
                                    [LOGO]
 
                              GREATER BAY BANCORP
 
                               ----------------
                                  PROSPECTUS
                               ----------------
 
                                       , 1998
 
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
<PAGE>
 
                                    PART II
 
                    INFORMATION NOT REQUIRED IN PROSPECTUS
 
ITEM 20. INDEMNIFICATION OF DIRECTORS AND OFFICERS
 
  Article Five of the Registrant's Articles of Incorporation provides that the
liability of the directors of the Registrant for monetary damages shall be
eliminated to the fullest extent permissible under California law and that the
Registrant is authorized to provide for the indemnification of agents (as
defined in Section 317 of the California General Corporation Law) of Greater
Bay in excess of that expressly permitted by such Section 317 for breach of
duty to Greater Bay and its shareholders to the fullest extent permissible
under California law. Article IX, Section 7 of the Registrant's Bylaws
provides for indemnification of directors and officers of the Registrant to
the fullest extent permissible under California law.
 
  Section 317 sets forth the provisions pertaining to the indemnification of
corporate "agents." For purposes of this law, an agent is any person who is or
was a director, officer, employee or other agent of a corporation, or is or
was serving at the request of Greater Bay such capacity with respect to any
other corporation, partnership, join venture, trust or other enterprise.
Indemnification for expenses, including amounts paid on settling or otherwise
disposing of a threatened or pending action or defending against the same can
be made in certain circumstances by action of the Registrant through; (1) a
majority vote of a quorum of the Registrant's Board of Directors consisting of
directors who are not party to the proceedings; (2) approval of the
shareholders, with the shares owned by the person to be indemnified not being
entitled to vote thereon; or (3) such court in which the proceeding is or was
pending upon application by designated parties. Under certain circumstances,
an agent can be indemnified, even when found liable. Indemnification is
mandatory where the agent's defense is successful on the merits. The law
allows the Registrant to make advances of expenses for certain actions upon
the receipt of an undertaking that the agent will reimburse Greater Bay if the
agent is found liable.
 
  Insofar as indemnification for liabilities arising under the Securities Act
may be permitted to directors, officers or persons controlling the Registrant,
pursuant to the foregoing provisions or otherwise, the Registrant understands
that in the opinion of the Commission such indemnification is against public
policy as expressed in the Securities Act and is therefore unenforceable. In
the event that a claim for indemnification against such liabilities (other
than the payment by the Registrant of expenses incurred or paid by a director,
officer or controlling person of the Registrant in the successful defense of
any action, suit or proceeding) is asserted by such director, officer or
controlling person in connection with the securities being registered, the
Registrant will, unless in the opinion of its counsel the matter has been
settled by controlling precedent, submit to a court of appropriate
jurisdiction the question whether such indemnification by it is against a
public policy as expressed in the Securities Act and will be governed by the
final adjudication of such issue.
 
                                     II-1
<PAGE>
 
ITEM 1. EXHIBITS AND FINANCIAL STATEMENT SCHEDULES
 
<TABLE>
<CAPTION>
 EXHIBIT
  NO.                                     EXHIBIT
 -------                                  -------
 <C>       <S>
  4.1**    Indenture between Greater Bay Bancorp and Wilmington Trust Company,
           as Debenture Trustee, dated as of August 12, 1998.
  4.2**    Form of Exchange Junior Subordinated Debentures (filed as Exhibit A
           to Exhibit 4.1 hereto).
  4.3**    Registration Rights Agreement among Greater Bay Bancorp, GBB Capital
           II, and Sandler O'Neill & Partners, L.P., dated as of August 7,
           1998.
  4.4**    Certificate of Trust of GBB Capital II, dated as of May 18, 1998.
  4.5**    Amended and Restated Trust Agreement of GBB Capital II, among
           Greater Bay Bancorp, Wilmington Trust Company and the Administrative
           Trustees named therein dated as of August 12, 1998.
  4.6**    Form of Exchange Capital Security Certificate (filed as Exhibit A-1
           to Exhibit 4.5 hereto).
  4.7**    Common Securities Guarantee Agreement of Greater Bay Bancorp, dated
           as of August 12, 1998.
  4.8**    Series A Capital Securities Guarantee Agreement of Greater Bay
           Bancorp and Wilmington Trust Company, dated as of August 12, 1998.
  4.9      Form of Series B Capital Securities Agreement of Greater Bay Bancorp
           and Wilmington Trust Company.
  4.10**   Liquidated Damages Agreement among Greater Bay Bancorp, GBB Capital
           II, and Sandler O'Neill and Partners, L.P., dated as of August 7,
           1998.
  4.11**** Junior Subordinated Indenture dated as of March 31, 1997 between
           Greater Bay Bancorp and Wilmington Trust Company, as Trustee.
  4.12**** Officers' Certificate and Company Order, dated March 31, 1997.
  4.13***  Certificate of Trust of GBB Capital I
  4.14***  Trust Agreement of GBB Capital I dated as of February 28, 1997.
  4.15***  Amended and Restated Trust Agreement of GBB Capital I, among Greater
           Bay Bancorp, Wilmington Trust Company and the Administrative
           Trustees named therein dated as of March 31, 1997.
  4.16**** Trust Preferred Certificate of GBB Capital I.
  4.17**** Common Securities Certificate of GBB Capital I.
  4.18**** Guarantee Agreement between Greater Bay Bancorp and Wilmington Trust
           Company, dated as of March 31, 1997.
  4.19**** Agreement as to Expenses and Liabilities, dated as of March 31,
           1997.
  4.20     Form of Subordinated Debentures; incorporated herein by reference
           from Exhibit 1 of Cupertino National Bancorp's Form 8-K (File No. 0-
           18015), filed with the Commission on October 25, 1995.
  4.21***  Supplemental Debenture Agreement of Cupertino National Bancorp dated
           as of November 22, 1996.
  4.22***  Supplemental Debenture Agreement dated November 27, 1996 between
           Cupertino National Bancorp and Mid-Peninsula Bancorp.
  4.23**** Supplemental Debenture Agreement, dated as of March 27, 1997.
  5.1      Opinion of Manatt, Phelps & Phillips, LLP as to the validity of the
           securities registered hereunder (including the consent of that
           firm).
  5.2      Opinion of Richards, Layton & Finger, P.A. as to the validity of the
           Exchange Capital Securities (including the consent of that firm).
  8.1      Opinion of Manatt, Phelps & Phillips, LLP as to certain federal
           income tax matters (including the consent of that firm).
</TABLE>
 
                                      II-2
<PAGE>
 
<TABLE>
<CAPTION>
 EXHIBIT
  NO.                                    EXHIBIT
 -------                                 -------
 <C>     <S>
 12.1    Computation of ratio of earnings to combined fixed charges.
 23.1    Consent of Manatt, Phelps & Phillips, LLP (included as part of Exhibit
         5.1 and Exhibit 8.1).
 23.2    Consent of Richards, Layton & Finger, P.A. (included as part of
         Exhibit5.2).
 23.3    Consent of PricewaterhouseCoopers LLP.
 24.1    A power of attorney is set forth on the signature page of the
         Registration Statement.
 25.1    Form T-1 Statement of Eligibility of Wilmington Trust Company to act
         as trustee for the Exchange Capital Securities of Greater Bay Capital
         II.
 25.2    Form T-1 Statement of Eligibility of Wilmington Trust Company to act
         as trustee for the Exchange Junior Subordinated Debentures of Greater
         Bay Bancorp (Exhibits A-D filed as Exhibits A-D of Exhibit 25.1
         hereto).
 25.3    Form T-1 Statement of Eligibility of Wilmington Trust Company to act
         as trustee for the Greater Bay Bancorp Exchange Guarantee with respect
         to Exchange Capital Securities (Exhibits A-D filed as Exhibits A-D of
         Exhibit 25.1 hereto).
 99.1    Form of Letter of Transmittal.
 99.2    Form of Notice of Guaranteed Delivery.
 99.3    Form of Exchange Agent Agreement.
 99.4    Form of Letter to Brokers, Dealers, Commercial Banks, Trust Companies
         and Other Nominees.
 99.5    Form of Client Letter.
</TABLE>
- --------
   * Incorporated by reference from Greater Bay's Annual Report on Form 10-K
     for the year ended December 31, 1997 (File No. 000-25034) filed with the
     SEC on March 31, 1998.
  ** Incorporated by reference from Greater Bay's Current Report on Form 8-K
     (File No. 000-25034) filed with the SEC on August 28, 1998.
 *** Incorporated by reference from Greater Bay Bancorp's Registration
     Statement on Form S-1 (Registration No. 333-22783) dated March 5, 1997.
**** Incorporated by reference from Greater Bay Bancorp's Current Report on
     Form 8-K (File No. 000-25034) dated June 5, 1997.
 
ITEM 22. UNDERTAKINGS
 
  Insofar as indemnification for liabilities arising under the Securities Act
may be permitted to directors, officers and controlling persons of the
registrant pursuant to the foregoing provisions, or otherwise, each of the
registrants has been advised that in the opinion of the Commission such
indemnification is against public policy as expressed in the Securities Act
and is, therefore, unenforceable. In the event that a claim for
indemnification against such liabilities (other than payment by the registrant
of expenses incurred or paid by a director, officer or controlling person of
such registrant in the successful defense of any action, suit or proceeding)
is asserted by such director, officer or controlling person in connection with
the securities being registered, each registrant will, unless in the opinion
of its counsel the matter has been settled by controlling precedent, submit to
a court of appropriate jurisdiction the question whether such indemnification
by it is against public policy as expressed in the Securities Act and will be
governed by the final adjudication of such issue.
 
  Each of the undersigned registrants hereby undertakes to respond to requests
for information that is incorporated by reference into the prospectus pursuant
to Items 4, 10(b), 11, or 13 of this Form, within one business day of receipt
of such request, and to send the incorporated documents by first class mail or
other equally prompt means. This includes information contained in documents
filed subsequent to the effective date of the Registration Statement through
the date of responding to the request.
 
  Each of the undersigned registrants hereby undertakes to supply by means of
a post-effective amendment all information concerning a transaction, and the
company being acquired involved therein, that was not the subject of and
included in the Registration Statement when it became effective.
 
                                     II-3
<PAGE>
 
                                  SIGNATURES
 
  PURSUANT TO THE REQUIREMENTS OF THE SECURITIES ACT, THE REGISTRANTS HAVE
DULY CAUSED THIS REGISTRATION STATEMENT ON FORM S-4 TO BE SIGNED ON THEIR
BEHALF BY THE UNDERSIGNED, THEREUNTO DULY AUTHORIZED, IN THE CITY OF PALO
ALTO, CALIFORNIA, ON SEPTEMBER 29, 1998.
 
                                          Greater Bay Bancorp
 
                                                  /s/ Steven C. Smith
                                          By: _________________________________
                                              STEVEN C. SMITH EXECUTIVE VICE
                                                PRESIDENT, CHIEF OPERATING
                                               OFFICER, AND CHIEF FINANCIAL
                                                          OFFICER
 
                                          GBB Capital II
 
                                                  /s/ Steven C. Smith
                                          By:
                                            -----------------------------------
                                                      STEVEN C. SMITH,
                                                 AS ADMINISTRATIVE TRUSTEE
 
                                                   /s/ Shawn Saunders
                                          By:
                                            -----------------------------------
                                                      SHAWN SAUNDERS,
                                                 AS ADMINISTRATIVE TRUSTEE
 
                                                    /s/ Mark Eschen
                                          By:
                                            -----------------------------------
                                                        MARK ESCHEN,
                                                 AS ADMINISTRATIVE TRUSTEE
 
                                     II-4
<PAGE>
 
                               POWER OF ATTORNEY
 
  We, the undersigned directors and officers of Greater Bay Bancorp, do hereby
severally constitute and appoint David L. Kalkbrenner and Steven C. Smith and
each of them singly, our true and lawful attorneys and agents, to do any and
all things and acts in our names in the capacities indicated below and to
execute any all instruments for us and in our names in the capacities
indicated below which said persons, or either of them, may deem necessary or
advisable to enable Greater Bay Bancorp to comply with the Securities Act of
1933, as amended, and any rules, regulations and requirements of the
Securities and Exchange Commission, in connection with the offering
contemplated by this Registration Statement on Form S-4, including
specifically, but not limited to, power and authority to sign for us or any of
us in our names in the capacities indicated below and any and all amendments,
including post-effective amendments to this Registration Statement and any
Rule 462(b) registration statement or amendments thereto; and we hereby ratify
and confirm all that said persons, or either of them, shall do or cause to be
done by virtue hereof.
 
  PURSUANT TO THE REQUIREMENTS OF THE SECURITIES ACT OF 1933, AS AMENDED THIS
REGISTRATION STATEMENT HAS BEEN SIGNED BY THE FOLLOWING PERSONS IN THE
CAPACITIES AND ON THE DATES INDICATED.
 
              SIGNATURE                        TITLE                 DATE
    /s/ David L. Kalkbrenner           President, Chief         September 29,
- -------------------------------------   Executive Officer            1998
        DAVID L. KALKBRENNER            and Director
                                        (Principal
                                        Executive Officer)
 
       /s/ Steven C. Smith             Executive Vice           September 29,
- -------------------------------------   President, Chief             1998
           STEVEN C. SMITH              Operating Officer
                                        and Chief Financial
                                        Officer (Principal
                                        Financial and
                                        Accounting Officer)
 
         /s/ George R. Corey           Director                 September 29,
- -------------------------------------                                1998
           GEORGE R. COREY
 
          /s/ John M. Gatto            Director                 September 29,
- -------------------------------------                                1998
            JOHN M. GATTO
 
                                       Director                       , 1998
- -------------------------------------
          JAMES E. JACKSON
 
                                       Director                       , 1998
- -------------------------------------
           REX D. LINDSAY
 
          /s/ Leo K.W. Lum             Director                 September 29,
- -------------------------------------                                1998
            LEO K. W. LUM
 
                                     II-5
<PAGE>
 
              SIGNATURE                         TITLE                DATE
 
                                        Director                      , 1998
- -------------------------------------
          GEORGE M. MARCUS
 
       /s/ Duncan L. Matteson           Director                September 29,
- -------------------------------------                                1998
         DUNCAN L. MATTESON
 
        /s/ Rebecca Q. Morgan           Director                September 29,
- -------------------------------------                                1998
          REBECCA Q. MORGAN
 
         /s/ Glen McLaughlin            Director                September 29,
- -------------------------------------                                1998
           GLEN MCLAUGHLIN
 
         /s/ Dick J. Randall            Director                September 29,
- -------------------------------------                                1998
           DICK J. RANDALL
 
        /s/ Donald H. Seiler            Director                September 29,
- -------------------------------------                                1998
          DONALD H. SEILER
 
         /s/ Roger V. Smith             Director                September 29,
- -------------------------------------                                1998
           ROGER V. SMITH
 
        /s/ Warren R. Thoits            Director                September 29,
- -------------------------------------                                1998
          WARREN R. THOITS
 
                                      II-6
<PAGE>
 
                                 EXHIBIT INDEX
 
<TABLE>
<CAPTION>
 EXHIBIT
  NO.                                     EXHIBIT
 -------                                  -------
 <C>       <S>
  4.1**    Indenture between Greater Bay Bancorp and Wilmington Trust Company,
           as Debenture Trustee,
           dated as of August 12, 1998.
  4.2**    Form of Exchange Junior Subordinated Debentures (filed as Exhibit A
           to Exhibit 4.1 hereto).
  4.3**    Registration Rights Agreement among Greater Bay Bancorp, GBB Capital
           II, and Sandler O'Neill
           & Partners, L.P., dated as of August 7, 1998.
  4.4**    Certificate of Trust of GBB Capital II, dated as of May 18, 1998.
  4.5**    Amended and Restated Trust Agreement of GBB Capital II, among
           Greater Bay Bancorp,
           Wilmington Trust Company and the Administrative Trustees named
           therein dated as of August 12, 1998.
  4.6**    Form of Exchange Capital Security Certificate (filed as Exhibit A-1
           to Exhibit 4.5 hereto).
  4.7**    Common Securities Guarantee Agreement of Greater Bay Bancorp, dated
           as of August 12, 1998.
  4.8**    Series A Capital Securities Guarantee Agreement of Greater Bay
           Bancorp and Wilmington Trust Company, dated as of August 12, 1998.
  4.9      Form of Series B Capital Securities Guarantee Agreement of Greater
           Bay Bancorp and Wilmington Trust Company.
  4.10**   Liquidated Damages Agreement among Greater Bay Bancorp, GBB Capital
           II, and Sandler O'Neill and Partners, L.P., dated as of August 7,
           1998.
  4.11**** Junior Subordinated Indenture dated as of March 31, 1997 between
           Greater Bay Bancorp and Wilmington Trust Company, as Trustee
  4.12**** Officers' Certificate and Company Order, dated March 31, 1997.
  4.13***  Certificate of Trust of GBB Capital I
  4.14***  Trust Agreement of GBB Capital I dated as of February 28, 1997.
  4.15***  Amended and Restated Trust Agreement of GBB Capital I, among Greater
           Bay Bancorp, Wilmington Trust Company and the Administrative
           Trustees named therein dated as of March 31, 1997.
  4.16**** Trust Preferred Certificate of GBB Capital I.
  4.17**** Common Securities Certificate of GBB Capital I.
  4.18**** Guarantee Agreement between Greater Bay Bancorp and Wilmington Trust
           Company, dated as of March 31, 1997.
  4.19**** Agreement as to Expenses and Liabilities, dated as of March 31,
           1997.
  4.20     Form of Subordinated Debentures; incorporated herein by reference
           from Exhibit 1 of Cupertino National Bancorp's Form 8-K (File No. 0-
           18015), filed with the Commission on October 25, 1995.
  4.21***  Supplemental Debenture Agreement of Cupertino National Bancorp dated
           as of November 22, 1996.
  4.22***  Supplemental Debenture Agreement dated November 27, 1996 between
           Cupertino National Bancorp and Mid-Peninsula Bancorp.
  4.23**** Supplemental Debenture Agreement, dated as of March 27, 1997.
  5.1      Opinion of Manatt, Phelps & Phillips, LLP as to the validity of the
           securities registered hereunder (including the consent of that
           firm).
  5.2      Opinion of Richards, Layton & Finger, P.A. as to the validity of the
           Exchange Capital Securities (including the consent of that firm).
</TABLE>
<PAGE>
 
<TABLE>
<CAPTION>
 EXHIBIT
  NO.                                    EXHIBIT
 -------                                 -------
 <C>     <S>
  8.1    Opinion of Manatt, Phelps & Phillips, LLP as to certain federal income
         tax matters (including the consent of that firm).
 12.1    Computation of ratio of earnings to combined fixed charges.
 23.1    Consent of Manatt, Phelps & Phillips, LLP (included as part of Exhibit
         5.1 and Exhibit 8.1).
 23.2    Consent of Richards, Layton & Finger, P.A. (included as part of
         Exhibit 5.2).
 23.3    Consent of PricewaterhouseCoopers LLP.
 24.1    A power of attorney is set forth on the signature page of the
         Registration Statement.
 25.1    Form T-1 Statement of Eligibility of Wilmington Trust Company to act
         as trustee for the Exchange Capital Securities of Greater Bay Capital
         II.
 25.2    Form T-1 Statement of Eligibility of Wilmington Trust Company to act
         as trustee for the Exchange Junior Subordinated Debentures of Greater
         Bay Bancorp (Exhibits A-D filed as Exhibits A-D of Exhibit 25.1
         hereto).
 25.3    Form T-1 Statement of Eligibility of Wilmington Trust Company to act
         as trustee for the Greater Bay Bancorp Exchange Guarantee with respect
         to Exchange Capital Securities (Exhibits A-D filed as Exhibits A-D of
         Exhibit 25.1 hereto).
 99.1    Form of Letter of Transmittal.
 99.2    Form of Notice of Guaranteed Delivery.
 99.3    Form of Exchange Agent Agreement.
 99.4    Form of Letter to Brokers, Dealers, Commercial Banks, Trust Companies
         and Other Nominees.
 99.5    Form of Client Letter.
</TABLE>
- --------
   * Incorporated by reference from Greater Bay's Annual Report on Form 10-K
     for the year ended December 31, 1997 (File No. 000-25034) filed with the
     SEC on March 31, 1998.
  ** Incorporated by reference from Greater Bay's Current Report on Form 8-K
     (File No. 000-25034) filed with the SEC on August 28, 1998.
 *** Incorporated by reference from Greater Bay Bancorp's Registration
     Statement on Form S-1 (Registration No. 333-22783) dated March 5, 1997.
**** Incorporated by reference from Greater Bay Bancorp's Current Report on
     Form 8-K (File No. 000-25034) dated June 5, 1997.
 

<PAGE>
 
                                                                     EXHIBIT 4.9

        ==============================================================


                SERIES B CAPITAL SECURITIES GUARANTEE AGREEMENT
                              GREATER BAY BANCORP
                        Dated as of ____________, 1998

        ==============================================================
<PAGE>
 
                               TABLE OF CONTENTS
                               -----------------

<TABLE>
<CAPTION>
                                                                            Page
     <S>                                                                    <C>

                                   ARTICLE I
                        DEFINITIONS AND INTERPRETATION

     SECTION 1.1    Definitions AND INTERPRETATION..........................  2
                                                                            
                                  ARTICLE II                                
                              TRUST INDENTURE ACT                           
                                                                            
     SECTION 2.1    Trust Indenture Act; Application........................  6
     SECTION 2.2    Lists of Holders of Securities..........................  6
     SECTION 2.3    Reports by the Capital Securities Guarantee Trustee.....  6
     SECTION 2.4    Periodic Reports to Capital Securities Guarantee Trustee  6
     SECTION 2.5    Evidence of Compliance with Conditions Precedent........  7
     SECTION 2.6    Waiver of Events of Default.............................  7
     SECTION 2.7    Notice of Events of Default.............................  7
     SECTION 2.8    Conflicting Interests...................................  7
                                                                            
                                  ARTICLE III                               
                         POWERS, DUTIES AND RIGHTS OF                       
                     CAPITAL SECURITIES GUARANTEE TRUSTEE                   
                                                                            
     SECTION 3.1    Powers and Duties of the Capital Securities Guarantee   
                     Trustee................................................  8
     SECTION 3.2    Certain Rights of Capital Securities Guarantee Trustee..  9
     SECTION 3.3    Not Responsible for Recitals or Issuance of Series      
                     B Capital Securities Guarantee......................... 11
                                                                            
                                  ARTICLE IV                                
                     CAPITAL SECURITIES GUARANTEE TRUSTEE                   
                                                                            
     SECTION 4.1    Capital Securities Guarantee Trustee; Eligibility....... 12
     SECTION 4.2    Appointment, Removal and Resignation of Capital          
                     Securities Guarantee Trustee........................... 12
                                                                             
                                   ARTICLE V                                 
                                   GUARANTEE                                 
                                                                             
     SECTION 5.1    Guarantee............................................... 13
     SECTION 5.2    Waiver of Notice and Demand............................. 13
     SECTION 5.3    Obligations Not Affected................................ 13
     SECTION 5.4    Rights of Holders....................................... 14
     SECTION 5.5    Guarantee of Payment.................................... 15
     SECTION 5.6    Subrogation............................................. 15
     SECTION 5.7    Independent Obligations................................. 15
</TABLE>                                                                      
                                                                              
                                      (i)                                     
                                            
<PAGE>
 
<TABLE>
<CAPTION>
                                                                           Page
                                                                           ----
<S>                                                                        <C>

                                  ARTICLE VI
                   LIMITATION OF TRANSACTIONS; SUBORDINATION

     SECTION 6.1    Limitation of Transactions.............................  15
     SECTION 6.2    Ranking................................................  16
                                                                           
                                  ARTICLE VII                              
                                  TERMINATION                              
                                                                           
     SECTION 7.1    Termination............................................  16
                                                                           
                                 ARTICLE VIII                              
                                INDEMNIFICATION                            
                                                                           
     SECTION 8.1    Exculpation............................................  17
     SECTION 8.2    Compensation and Indemnification.......................  17
                                                                           
                                  ARTICLE IX                               
                                 MISCELLANEOUS                             
                                                                           
     SECTION 9.1    Successors and Assigns.................................  18
     SECTION 9.2    Amendments.............................................  18
     SECTION 9.3    Notices................................................  18
     SECTION 9.4    Benefit................................................  19
     SECTION 9.5    Governing Law..........................................  19

</TABLE>

                                     (ii)
<PAGE>
 
                             CROSS REFERENCE TABLE

<TABLE>
<CAPTION>
Section of Trust
Indenture Act of                                            Section of Guarantee
1939, as amended                                                  Agreement
<S>                                                         <C>
310(a)       ..............................................           4.1(a)
310(b)       ..............................................       4.1(c), 2.8
310(c)       ..............................................       Inapplicable
311(a)       ..............................................           2.2(b)
311(b)       ..............................................           2.2(b)
311(c)       ..............................................       Inapplicable
312(a)       ..............................................           2.2(a)
312(b)       ..............................................           2.2(b)
313          ..............................................           2.3
314(a)       ..............................................           2.4
314(b)       ..............................................       Inapplicable
314(c)       ..............................................           2.5
314(d)       ..............................................       Inapplicable
314(e)       ..............................................       1.1, 2.5, 3.2
314(f)       ..............................................         2.1, 3.2
315(a)       ..............................................          3.1(d)
315(b)       ..............................................          2.7
315(c)       ..............................................          3.1(c)
315(d)       ..............................................          3.1(d)
316(a)       ..............................................       1.1, 2.6, 5.4
316(b)       ..............................................          5.3
316(c)       ..............................................          9.2
317(a)       ..............................................       Inapplicable
317(b)       ..............................................       Inapplicable
318(a)       ..............................................          2.1(a)
318(c)       ..............................................          2.1(b)
</TABLE>

_____________________

*    This Cross-Reference Table does not constitute part of this Guarantee
     Agreement and shall not affect the interpretation of any of its terms or
     provisions.

                                     (iii)
<PAGE>
 
                SERIES B CAPITAL SECURITIES GUARANTEE AGREEMENT

     This SERIES B CAPITAL SECURITIES GUARANTEE AGREEMENT (the "Series B Capital
Securities Guarantee"), dated as of ____________, 1998, is executed and
delivered by GREATER BAY BANCORP, a California corporation (the "Guarantor"),
and WILMINGTON TRUST COMPANY, a Delaware banking corporation, as trustee (the
"Capital Securities Guarantee Trustee" or "Trustee"), for the benefit of the
Holders (as defined herein) from time to time of the Series B Capital Securities
(as defined herein) of GBB CAPITAL II, a Delaware statutory business trust (the
"Issuer").

     WHEREAS, pursuant to an Amended and Restated Trust Agreement (the "Trust
Agreement"), dated as of August 12, 1998, by and among the trustees of the
Issuer named therein, the Guarantor, as sponsor, and the Holders from time to
time of undivided beneficial interests in the assets of the Issuer, the Issuer
(i) issued on August 12, 1998 30,000 capital securities, having an aggregate
liquidation amount of $30,000,000, such capital securities being designated the
Floating Rate Capital Securities, Series A (collectively the "Series A Capital
Securities") and (ii) in connection with an Exchange Offer (as defined in the
Trust Agreement), hereby executes and delivers this Series B Capital Securities
Guarantee for the benefit of Holders of the Series B Capital Securities (as
defined in the Trust Agreement);

     WHEREAS, the Series A Capital Securities issued by the Issuer and proceeds
thereof, together with the proceeds from the issuance of the Issuer's Common
Securities (as defined herein), were used to purchase the Junior Subordinated
Debentures due September 15, 2028 (the "Series A Junior Subordinated
Debentures") of the Guarantor which were deposited with the Trustee, as Property
Trustee under the Trust Agreement, as trust assets;

     WHEREAS, as incentive for the Holders to purchase the Series A Capital
Securities, the Guarantor irrevocably and unconditionally agreed, to the extent
set forth in the Series A Capital Securities Guarantee Agreement dated as of
August 12, 1998 (the "Series A Capital Securities Guarantee"), to pay to the
Holders of the Series A Capital Securities the Guarantee Payments (as defined
herein) and to make certain other payments on the terms and conditions set forth
herein;

     WHEREAS, in connection with the offer of the Series A Capital Securities,
the Guarantor, the Issuer and Sandler O'Neill & Partners, L.P. executed the
Registration Rights Agreement dated August 7, 1998 (the "Registration Rights
Agreement");

     WHEREAS, the Issuer, in order to satisfy its obligations under the
Registration Rights Agreement, intends to offer up to $30,000,000 aggregate
Liquidation Amount of its Floating Rate Capital Securities, Series B, which have
been registered under the Securities Act of 1933, as amended, pursuant to a
registration statement in exchange for a like Liquidation Amount of Series A
Capital Securities;

     WHEREAS, pursuant to the Exchange Offer, the Guarantor is also exchanging
up to $30,000,000 aggregate principal amount of the Series A Junior Subordinated
Debentures for up to $30,000,000 aggregate principal of the Series B Junior
Subordinated Debentures due September 15, 2028 (the "Series B Junior
Subordinated Debentures") of the Guarantor;
<PAGE>
 
     WHEREAS, pursuant to the Exchange Offer, the Guarantor is required to
execute this Series B Capital Securities Guarantee and exchange the Series A
Capital Securities Guarantee for this Series B Capital Securities Guarantee
Agreement; and

     WHEREAS, the Guarantor also executed and delivered the Common Securities
Guarantee Agreement dated as of August 12, 1998, (the "Common Securities
Guarantee"), for the benefit of the holders of the Common Securities (as defined
herein), the terms of which provide that if an Event of Default (as defined in
the Trust Agreement) has occurred and is continuing, the rights of holders of
the Common Securities to receive Guarantee Payments under the Common Securities
Guarantee are subordinated, to the extent and in the manner set forth in the
Common Securities Guarantee, to the rights of Holders of Series A Capital
Securities and the Series B Capital Securities to receive Guarantee Payments
under the Series A Capital Securities Guarantee and this Series B Capital
Securities Guarantee, as the case may be.

     NOW, THEREFORE, in consideration of the exchange by each Holder of the
Series A Capital Securities for the Series B Capital Securities, which exchange
the Guarantor hereby acknowledges shall benefit the Guarantor, (or in the event
certain Holders do not exchange their Series A Capital Securities, in order to
fulfill its obligations to such Holders under the Series A Capital Securities
Guarantee) and intending to be legally bound hereby, the Guarantor executes and
delivers this Series B Capital Securities Guarantee Agreement for the benefit of
the Holders from time to time of the Trust Securities (as defined herein).


                                   ARTICLE I

                        DEFINITIONS AND INTERPRETATION

     SECTION 1.1    Definitions and Interpretation
                    ------------------------------

     In this Series B Capital Securities Guarantee, unless the context otherwise
requires:

     (a) capitalized terms used in this Series B Capital Securities Guarantee
but not defined in the preamble above have the respective meanings assigned to
them in this Section 1.1;

     (b) terms defined in the Trust Agreement as at the date of execution of
this Series B Capital Securities Guarantee have the same meaning when used in
this Series B Capital Securities Guarantee unless otherwise defined in this
Series B Capital Securities Guarantee,

     (c) a term defined anywhere in this Series B Capital Securities Guarantee
has the same meaning throughout;

     (d) all references to "the Series B Capital Securities Guarantee" or "this
Series B Capital Securities Guarantee" are references to this Series B Capital
Securities Guarantee as modified, supplemented or amended from time to time;

     (e) all references in this Series B Capital Securities Guarantee to
Articles and Sections references are to Articles and Sections of this Series B
Capital Securities Guarantee, unless otherwise specified;

                                      -2-
<PAGE>
 
     (f) a term defined in the Trust Indenture Act has the same meaning when
used in this Series B Capital Securities Guarantee, unless otherwise defined in
this Series B Capital Securities Guarantee or unless the context otherwise
requires; and

     (g) a reference to the singular includes the plural and vice versa.

     "Affiliate" has the same meaning as given to that term in Rule 405 under
      ---------                                                              
the Securities Act of 1933, as amended, or any successor rule thereunder.

     "Business Day" shall mean any day other than a Saturday or a Sunday, or a
      ------------                                                            
day on which banking institutions in Wilmington, Delaware, San Francisco,
California and New York, New York are authorized or required by law or executive
order to remain closed.

     "Capital Securities Guarantee Trustee" shall mean Wilmington Trust Company
      ------------------------------------                                     
as Trustee under the Series B Capital Securities Guarantee, until a Successor
Capital Securities Guarantee Trustee has been appointed and has accepted such
appointment pursuant to the terms of this Series B Capital Securities Guarantee
and thereafter means each such Successor Capital Securities Guarantee Trustee.

     "Common Securities" shall mean the securities representing common undivided
      -----------------                                                         
beneficial interests in the assets of the Issuer.

     "Corporate Trust Office" shall mean the office of the Capital Securities
      ----------------------                                                 
Guarantee Trustee at which the corporate trust business of the Capital
Securities Guarantee Trustee shall, at any particular time, be principally
administered, which office at the date of execution of this Agreement is located
at Rodney Square North, 1100 North Market Street, Wilmington, Delaware 19890-
0001, Attention:  Corporate Trust Administration.

     "Covered Person" shall mean any Holder or beneficial owner of Series B
      --------------                                                       
Capital Securities.

     "Debentures" shall mean the series of subordinated debt securities of the
      ----------                                                              
Guarantor designated the Floating Rate Junior Subordinated Deferrable Interest
Debentures due September 15, 2028,  Series B, held by the Property Trustee (as
defined in the Trust Agreement) of the Issuer.

     "Event of Default" shall mean a default by the Guarantor on any of its
      ----------------                                                     
payment or other obligations under this Series B Capital Securities Guarantee;
provided, however, that, except with respect to default in respect of any
- --------  -------                                                        
Guarantee Payment, no default by the Guarantor hereunder shall constitute an
Event of Default unless the Guarantor shall have received written notice of the
default and shall not have cured such default within 60 days after receipt
thereof.

     "Guarantee Payments" shall mean the following payments or distributions,
      ------------------                                                     
without duplication, with respect to the Series B Capital Securities, to the
extent not paid or made by or on behalf of the Issuer: (i) any accumulated and
unpaid Distributions (as defined in the Trust Agreement) that are required to be
paid on such Series B Capital Securities, to the extent the Issuer has funds
legally available therefor at such time, (ii) the redemption price, including
all accumulated and unpaid Distributions to the date of redemption (the
"Redemption Price"), to the extent the Issuer 

                                      -3-
<PAGE>
 
has funds legally available therefor at such time, with respect to any Series B
Capital Securities called for redemption, and (iii) upon a voluntary or
involuntary dissolution, winding up or liquidation of the Issuer (other than in
connection with the distribution of Debentures to the Holders in exchange for
Series B Capital Securities or in connection with the redemption of the Series B
Capital Securities, in each case as provided in the Trust Agreement), the lesser
of (a) the aggregate of the liquidation amount and all accumulated and unpaid
Distributions on the Series B Capital Securities to the date of payment, to the
extent the Issuer has funds legally available therefor at such time, and (b) the
amount of assets of the Issuer remaining available for distribution to Holders
after satisfaction of liabilities to creditors of the Issuer as required by
applicable law (in either case, the "Liquidation Distribution"). If an Event of
Default has occurred and is continuing, no Guarantee Payments under the Common
Securities Guarantee with respect to the Common Securities or any guarantee
payment under the Common Securities Guarantee or any Other Common Securities
Guarantee shall be made until the Holders of Series B Capital Securities shall
be paid in full the Guarantee Payments to which they are entitled under this
Series B Capital Securities Guarantee.

     "Holder" shall mean any holder, as registered on the books and records of
      ------                                                                  
the Issuer, of any Series B Capital Securities; provided, however, that, in
                                                --------  -------          
determining whether the holders of the requisite percentage of Series B Capital
Securities have given any request, notice, consent or waiver hereunder, "Holder"
shall not include the Guarantor or any Person actually known to a Responsible
Officer of the Capital Securities Guarantee Trustee to be an Affiliate of the
Guarantor.

     "Indemnified Person" shall mean the Capital Securities Guarantee Trustee
      ------------------                                                     
(including in its individual capacity), any Affiliate of the Capital Securities
Guarantee Trustee, or any officers, directors, shareholders, members, partners,
employees, representatives, nominees, custodians or agents of the Capital
Securities Guarantee Trustee.

     "Indenture" shall mean the Indenture, dated as of August 12, 1998, between
      ---------                                                                
Greater Bay Bancorp, as issuer of Debentures (the "Debenture Issuer"), and
Wilmington Trust Company, as trustee, pursuant to which the Debentures are to be
issued to the Property Trustee of the Issuer.

     "Majority in Liquidation Amount of the Series B Capital Securities" shall
      -----------------------------------------------------------------       
mean, except as provided by the Trust Indenture Act, a vote by Holder(s) of
Series B Capital Securities, voting separately as a class, of more than 50% of
the aggregate liquidation amount (including the amount that would be paid on
redemption, liquidation or otherwise, plus accumulated and unpaid Distributions
to the date upon which the voting percentages are determined) of all outstanding
Series B Capital Securities.

     "Officers' Certificate" shall mean, with respect to any Person, a
      ---------------------                                           
certificate signed by the Chairman, the Chief Executive Officer, the President,
an Executive or Senior Vice President, a Vice President, the Chief Financial
Officer and the Secretary or an Assistant Secretary. Any Officers' Certificate
delivered with respect to compliance with a condition or covenant provided for
in this Series B Capital Securities Guarantee shall include:

     (a) a statement that each officer signing the Officers' Certificate has
read the covenants or conditions and the definitions relating thereto;

                                      -4-
<PAGE>
 
     (b)  a statement that each such officer has made such examination or
investigation as, in such officer's opinion, is necessary to enable such officer
to express an informed opinion as to whether or not such covenant or condition
has been complied with; and

     (c)  a statement as to whether or not, in the opinion of each such officer,
such condition or covenant has been complied with.

     "Other Common Securities Guarantees" shall have the same meaning as "Other
      ----------------------------------                                       
Guarantees" in the Common Securities Guarantee.

     "Other Debentures" shall mean all junior subordinated debentures, other
      ----------------                                                      
than the Debentures and the Series B Debentures (as defined in the Indenture),
issued by the Guarantor from time to time and sold to trusts other than the
Issuer to be established by the Guarantor (if any), in each case similar to the
Issuer.

     "Other Guarantees" shall mean all guarantees, other than this Series B
      ----------------                                                     
Capital Securities Guarantee and the Series A Capital Securities Guarantee, to
be issued by the Guarantor with respect to capital securities (if any) similar
to the Series B Capital Securities, issued by trusts other than the Issuer to be
established by the Guarantor (if any), in each case similar to the Issuer.

     "Person" shall mean a legal person, including any individual, corporation,
      ------                                                                   
estate, partnership, joint venture, association, joint stock company, limited
liability company, trust, unincorporated association, or government or any
agency or political subdivision thereof, or any other entity of whatever nature.

     "Registration Rights Agreement" shall mean the Registration Rights
      -----------------------------                                    
Agreement, dated as of August 7, 1998, by and among the Guarantor, the Issuer
and the Initial Purchasers named therein, as such agreement may be amended,
modified or supplemented from time to time.

     "Responsible Officer" shall mean, with respect to a Person, any officer
      -------------------                                                   
with direct responsibility for the administration of any matters relating to
this Series B Capital Securities Guarantee.

     "Successor Capital Securities Guarantee Trustee" shall mean a successor
      ----------------------------------------------                        
Capital Securities Guarantee Trustee possessing the qualifications to act as
Capital Securities Guarantee Trustee under Section 4.1.

     "Trust Indenture Act" shall mean the Trust Indenture Act of 1939, as
      -------------------                                                
amended.

     "Trust Securities" shall mean the Common Securities and the Series A
      ----------------                                                   
Capital Securities and Series B Capital Securities, collectively.

                                      -5-
<PAGE>
 
                                  ARTICLE II

                              TRUST INDENTURE ACT

     SECTION 2.1    Trust Indenture Act; Application
                    --------------------------------

     (a) This Series B Capital Securities Guarantee is subject to the provisions
of the Trust Indenture Act that are required to be part of this Series B Capital
Securities Guarantee and shall, to the extent applicable, be governed by such
provisions.

     (b) If and to the extent that any provision of this Series B Capital
Securities Guarantee limits, qualifies or conflicts with the duties imposed by
Sections 310 to 317, inclusive, of the Trust Indenture Act, such imposed duties
shall control.  If any provision of this Capital Securities Guarantee modifies
or excludes any provision of the Trust Indenture Act that may be so modified or
excluded, the modified or excluded provision of the Trust Indenture Act shall be
deemed to apply to this Capital Securities Guarantee as so modified or excluded,
as the case may be.

     SECTION 2.2    Lists of Holders of Securities
                    ------------------------------

     (a) The Guarantor shall provide the Capital Securities Guarantee Trustee
(unless the Capital Securities Guarantee Trustee is otherwise the registrar of
the Capital Securities) with a list, in such form as the Capital Securities
Guarantee Trustee may reasonably require, of the names and addresses of the
Holders of the Series B Capital Securities ("List of Holders") as of such date,
(i) within fourteen (14) days after each record date for payment of
Distributions (as defined in the Trust Agreement), and (ii) at any other time
within 30 days of receipt by the Guarantor of a written request for a List of
Holders as of a date no more than 14 days before such List of Holders is given
to the Capital Securities Guarantee Trustee; provided, however, that the
                                             --------  -------          
Guarantor shall not be obligated to provide such List of Holders at any time the
List of Holders does not differ from the most recent List of Holders given to
the Capital Securities Guarantee Trustee by the Guarantor. The Capital
Securities Guarantee Trustee may destroy any List of Holders previously given to
it on receipt of a new List of Holders.

     (b) The Capital Securities Guarantee Trustee shall comply with its
obligations under Sections 31l(a), 31l(b) and Section 312(b) of the Trust
Indenture Act.

     SECTION 2.3    Reports by the Capital Securities Guarantee Trustee
                    ---------------------------------------------------

     Within 60 days after August 12 of each year, commencing August 12, 1999,
the Capital Securities Guarantee Trustee shall provide to the Holders of the
Series B Capital Securities such reports as are required by Section 313 of the
Trust Indenture Act, if any, in the form and in the manner provided by Section
313 of the Trust Indenture Act. The Capital Securities Guarantee Trustee shall
also comply with the requirements of Section 313(d) of the Trust Indenture Act.

     SECTION 2.4    Periodic Reports to Capital Securities Guarantee Trustee
                    --------------------------------------------------------

     The Guarantor shall provide to the Capital Securities Guarantee Trustee
such documents, reports and information as are required by Section 314 (if any)
and the compliance certificate 

                                      -6-
<PAGE>
 
required by Section 314 of the Trust Indenture Act in the form, in the manner
and at the times required by Section 314 of the Trust Indenture Act. Delivery of
such reports, information and documents to the Capital Securities Guarantee
Trustee is for informational purposes only and the Capital Securities Guarantee
Trustee's receipt of such shall not constitute constructive notice of any
information contained therein or determinable from information contained
therein, including the Guarantor's compliance with any of its covenants
hereunder (as to which the Capital Securities Guarantee Trustee is entitled to
rely exclusively on Officers' Certificates).

     SECTION 2.5    Evidence of Compliance with Conditions Precedent
                    ------------------------------------------------

     The Guarantor shall provide to the Capital Securities Guarantee Trustee
such evidence of compliance with the conditions precedent, if any, provided for
in this Series B Capital Securities Guarantee that relate to any of the matters
set forth in Section 314(c) of the Trust Indenture Act. Any certificate or
opinion required to be given by an officer pursuant to Section 314(c)(1) may be
given in the form of an Officers' Certificate.

     SECTION 2.6    Waiver of Events of Default
                    ---------------------------

     The Holders of a Majority in Liquidation Amount of Series B Capital
Securities may, by vote, on behalf of the Holders of all of the Series B Capital
Securities, waive any past Event of Default and its consequences. Upon such
waiver, any such Event of Default shall cease to exist, and any Event of Default
arising therefrom shall be deemed to have been cured, for every purpose of this
Series B Capital Securities Guarantee, but no such waiver shall extend to any
subsequent or other default or Event of Default or impair any right consequent
thereon.

     SECTION 2.7    Notice of Events of Default
                    ---------------------------

     (a) The Capital Securities Guarantee Trustee shall, within 10 Business Days
after the occurrence of an Event of Default with respect to this Capital
Securities Guarantee actually known to a Responsible Officer of the Capital
Securities Guarantee Trustee, transmit by mail, first class postage prepaid, to
all Holders of the Series B Capital Securities, notices of all such Events of
Default, unless such Events of Default have been cured before the giving of such
notice; provided, however, that, except in the case of an Event of Default
        --------  -------                                                 
arising from the non-payment of any Guarantee Payment, the Capital Securities
Guarantee Trustee shall be protected in withholding such notice if and so long
as a Responsible Officer of the Capital Securities Guarantee Trustee in good
faith determines that the withholding of such notice is in the interests of the
Holders of the Series B Capital Securities.

     (b) The Capital Securities Guarantee Trustee shall not be deemed to have
knowledge of any Event of Default unless the Capital Securities Guarantee
Trustee shall have received written notice, or a Responsible Officer of the
Capital Securities Guarantee Trustee charged with the administration of the
Trust Agreement shall have obtained actual knowledge, of such Event of Default.

     SECTION 2.8    Conflicting Interests
                    ---------------------

                                      -7-
<PAGE>
 
     The Trust Agreement shall be deemed to be specifically described in this
Series B Capital Securities Guarantee for the purposes of clause (i) of the
first proviso contained in Section 310(b) of the Trust Indenture Act.


                                  ARTICLE III

                         POWERS, DUTIES AND RIGHTS OF
                     CAPITAL SECURITIES GUARANTEE TRUSTEE

     SECTION 3.1    Powers and Duties of the Capital Securities Guarantee
                    -----------------------------------------------------
Trustee
- -------

     (a) This Series B Capital Securities Guarantee shall be held by the Capital
Securities Guarantee Trustee for the benefit of the Holders of the Series B
Capital Securities, and the Capital Securities Guarantee Trustee shall not
transfer this Series B Capital Securities Guarantee to any Person except a
Holder of Series B Capital Securities exercising his or her rights pursuant to
Section 5.4(b) or to a Successor Capital Securities Guarantee Trustee on
acceptance by such Successor Capital Securities Guarantee Trustee of its
appointment to act as Successor Capital Securities Guarantee Trustee. The right,
title and interest of the Capital Securities Guarantee Trustee shall
automatically vest in any Successor Capital Securities Guarantee Trustee, and
such vesting and succession of title shall be effective whether or not
conveyancing documents have been executed and delivered pursuant to the
appointment of such Successor Capital Securities Guarantee Trustee.

     (b) If an Event of Default actually known to a Responsible Officer of the
Capital Securities Guarantee Trustee has occurred and is continuing, the Capital
Securities Guarantee Trustee shall enforce this Series B Capital Securities
Guarantee for the benefit of the Holders of the Series B Capital Securities.

     (c) The Capital Securities Guarantee Trustee, before the occurrence of any
Event of Default (of which, other than an Event of Default consisting of a
default in payment, a Responsible Officer of the Property Trustee has actual
knowledge) and after the curing of all such Events of Default that may have
occurred, shall undertake to perform only such duties as are specifically set
forth in this Series B Capital Securities Guarantee, and no implied covenants or
obligations shall be read into this Series B Capital Securities Guarantee
against the Capital Securities Guarantee Trustee. In case an Event of Default
has occurred (that has not been cured or waived pursuant to Section 2.6) and is
actually known to a Responsible Officer of the Capital Securities Guarantee
Trustee, the Capital Securities Guarantee Trustee shall exercise such of the
rights and powers vested in it by this Series B Capital Securities Guarantee,
and use the same degree of care and skill in its exercise thereof, as a prudent
person would exercise or use under the circumstances in the conduct of his or
her own affairs.

     (d) No provision of this Series B Capital Securities Guarantee shall be
construed to relieve the Capital Securities Guarantee Trustee from liability for
its own negligent action, its own negligent failure to act, or its own willful
misconduct, except that:

         (i) prior to the occurrence of any Event of Default (of which, other
     than an Event of Default consisting of a default in payment, a Responsible
     Officer of the Property Trustee 

                                      -8-
<PAGE>
 
     has actual knowledge) and after the curing or waiving of all such Events of
     Default that may have occurred:

          (A) the duties and obligations of the Capital Securities Guarantee
     Trustee shall be determined solely by the express provisions of this Series
     B Capital Securities Guarantee, and the Capital Securities Guarantee
     Trustee shall not be liable except for the performance of such duties and
     obligations as are specifically set forth in this Series B Capital
     Securities Guarantee, and no implied covenants or obligations shall be read
     into this Series B Capital Securities Guarantee against the Capital
     Securities Guarantee Trustee; and

          (B) in the absence of bad faith on the part of the Capital Securities
     Guarantee Trustee, the Capital Securities Guarantee Trustee may
     conclusively rely, as to the truth of the statements and the correctness of
     the opinions expressed therein, upon any certificates or opinions furnished
     to the Capital Securities Guarantee Trustee and conforming to the
     requirements of this Series B Capital Securities Guarantee; provided,
                                                                 -------- 
     however, that in the case of any such certificates or opinions that by any
     -------                                                                   
     provision hereof are specifically required to be furnished to the Capital
     Securities Guarantee Trustee, the Capital Securities Guarantee Trustee
     shall be under a duty to examine the same to determine whether or not on
     their face they conform to the requirements of this Series B Capital
     Securities Guarantee;

          (ii)  the Capital Securities Guarantee Trustee shall not be liable for
     any errors of judgment made in good faith by a Responsible Officer of the
     Capital Securities Guarantee Trustee, unless it shall be proved that the
     Capital Securities Guarantee Trustee or such Responsible Officer was
     negligent in ascertaining the pertinent facts upon which such judgment was
     made;

          (iii) the Capital Securities Guarantee Trustee shall not be liable
     with respect to any actions taken or omitted to be taken by it in good
     faith in accordance with the direction of the Holders of a Majority in
     Liquidation Amount of the Series B Capital Securities relating to the time,
     method and place of conducting any proceeding for any remedy available to
     the Capital Securities Guarantee Trustee, or exercising any trust or power
     conferred upon the Capital Securities Guarantee Trustee under this Series B
     Capital Securities Guarantee; and

          (iv)  no provision of this Series B Capital Securities Guarantee shall
     require the Capital Securities Guarantee Trustee to expend or risk its own
     funds or otherwise incur personal financial liability in the performance of
     any of its duties or in the exercise of any of its rights or powers, if the
     Capital Securities Guarantee Trustee shall have reasonable grounds for
     believing that the repayment of such funds or liability is not reasonably
     assured to it under the terms of this Series B Capital Securities Guarantee
     or indemnity, reasonably satisfactory to the Capital Securities Guarantee
     Trustee, against such risk or liability is not reasonably assured to it.

     SECTION 3.2    Certain Rights of Capital Securities Guarantee Trustee
                    ------------------------------------------------------

     (a)  Subject to the provisions of Section 3.1:

          (i)   the Capital Securities Guarantee Trustee may conclusively rely,
     and shall be fully protected in acting or refraining from acting, upon any
     resolution, certificate, statement, 

                                      -9-
<PAGE>
 
     instrument, opinion, report, notice, request, direction, consent, order,
     bond, debenture, note, other evidence of indebtedness or other paper or
     document believed by it to be genuine and to have been signed, sent or
     presented by the proper party or parties;

          (ii)   any direction or act of the Guarantor contemplated by this
     Series B Capital Securities Guarantee may be sufficiently evidenced by an
     Officers' Certificate;

          (iii)  whenever, in the administration of this Series B Capital
     Securities Guarantee, the Capital Securities Guarantee Trustee shall deem
     it desirable that a matter be proved or established before taking,
     suffering or omitting any action hereunder, the Capital Securities
     Guarantee Trustee (unless other evidence is herein specifically prescribed)
     may, in the absence of bad faith on its part, request and conclusively rely
     upon an Officers' Certificate, which, upon receipt of such request, shall
     be promptly delivered by the Guarantor;

          (iv)   the Capital Securities Guarantee Trustee shall have no duty to
     see to any recording, filing or registration of any instrument or other
     document (or any rerecording, refiling or registration thereof);

          (v)    the Capital Securities Guarantee Trustee may consult with
     counsel of its selection, and the advice or opinion of such counsel with
     respect to legal matters shall be full and complete authorization and
     protection in respect of any action taken, suffered or omitted by it
     hereunder in good faith and in accordance with such advice or opinion; and
     such counsel may be counsel to the Guarantor or any of its Affiliates and
     may include any of its employees; the Capital Securities Guarantee Trustee
     shall have the right at any time to seek instructions concerning the
     administration of this Series B Capital Securities Guarantee from any court
     of competent jurisdiction ;

          (vi)   the Capital Securities Guarantee Trustee shall be under no
     obligation to exercise any of the rights or powers vested in it by this
     Series B Capital Securities Guarantee at the request or direction of any
     Holder, unless such Holder shall have provided to the Capital Securities
     Guarantee Trustee such security and indemnity, reasonably satisfactory to
     the Capital Securities Guarantee Trustee, against the costs, expenses
     (including attorneys' fees and expenses and the expenses of the Capital
     Securities Guarantee Trustee's agents, nominees or custodians) and
     liabilities that might be incurred by it in complying with such request or
     direction, including such reasonable advances as may be requested by the
     Capital Securities Guarantee Trustee, provided, however, that nothing
                                           --------  -------              
     contained in this Section 3.2(a)(vi) shall be taken to relieve the Capital
     Securities Guarantee Trustee, upon the occurrence of an Event of Default,
     of its obligation to exercise the rights and powers vested in it by this
     Series B Capital Securities Guarantee;

          (vii)  the Capital Securities Guarantee Trustee shall have no
     obligation to make any investigation into the facts or matters stated in
     any resolution, certificate, statement, instrument, opinion, report,
     notice, request, direction, consent, order, bond, debenture, note, other
     evidence of indebtedness or other paper or document, but the Capital
     Securities Guarantee Trustee, in its discretion, may make such further
     inquiry or investigation into such facts or matters as it may see fit;

                                     -10-
<PAGE>
 
          (viii)  the Capital Securities Guarantee Trustee may execute any of
     the trusts or powers hereunder or perform any duties hereunder either
     directly or by or through agents, nominees, custodians or attorneys, and
     the Capital Securities Guarantee Trustee shall not be responsible for any
     misconduct or negligence on the part of any such person appointed with due
     care by it hereunder;

          (ix)    any action taken by the Capital Securities Guarantee Trustee
     or its agents hereunder shall bind the Holders of the Series B Capital
     Securities, and the signature of the Capital Securities Guarantee Trustee
     or its agents alone shall be sufficient and effective to perform any such
     action; and no third party shall be required to inquire as to the authority
     of the Capital Securities Guarantee Trustee to so act or as to its
     compliance with any of the terms and provisions of this Series B Capital
     Securities Guarantee, both of which shall be conclusively evidenced by the
     Capital Securities Guarantee Trustee's or its agent's taking such action;

          (x)     whenever in the administration of this Series B Capital
     Securities Guarantee the Capital Securities Guarantee Trustee shall deem it
     desirable to receive instructions with respect to enforcing any remedy or
     right or taking any other action hereunder, the Capital Securities
     Guarantee Trustee (i) may request instructions from the Holders of a
     Majority in Liquidation Amount of the Series B Capital Securities, (ii) may
     refrain from enforcing such remedy or right or taking such other action
     until such instructions are received, and (iii) shall be protected in
     conclusively relying on or acting in accordance with such instructions; and

          (xi)    the Capital Securities Guarantee Trustee shall not be liable
     for any action taken, suffered, or omitted to be taken by it in good faith,
     without negligence, and reasonably believed by it to be authorized or
     within the discretion or rights or powers conferred upon it by this Series
     B Capital Securities Guarantee.

     (b) No provision of this Series B Capital Securities Guarantee shall be
deemed to impose any duty or obligation on the Capital Securities Guarantee
Trustee to perform any act or acts or exercise any right, power, duty or
obligation conferred or imposed on it in any jurisdiction in which it shall be
illegal, or in which the Capital Securities Guarantee Trustee shall be
unqualified or incompetent in accordance with applicable law, to perform any
such act or acts or to exercise any such right, power, duty or obligation. No
permissive power or authority available to the Capital Securities Guarantee
Trustee shall be construed to be a duty.

     SECTION 3.3    Not Responsible for Recitals or Issuance of Series
                    --------------------------------------------------
                    B Capital Securities Guarantee
                    ------------------------------

     The recitals contained in this Series B Capital Securities Guarantee shall
be taken as the statements of the Guarantor, and the Capital Securities
Guarantee Trustee does not assume any responsibility for their correctness. The
Capital Securities Guarantee Trustee makes no representation as to the validity
or sufficiency of this Series B Capital Securities Guarantee.

                                     -11-
<PAGE>
 
                                  ARTICLE IV

                     CAPITAL SECURITIES GUARANTEE TRUSTEE

     SECTION 4.1    Capital Securities Guarantee Trustee; Eligibility
                    -------------------------------------------------

     (a)  There shall at all times be a Capital Securities Guarantee Trustee
that shall

          (i)   not be an Affiliate of the Guarantor; and

          (ii)  be a corporation or other Person organized and doing business
     under the laws of the United States of America or any state or territory
     thereof or of the District of Columbia, or a corporation or other Person
     permitted by the Securities and Exchange Commission to act as an indenture
     trustee under the Trust Indenture Act, authorized under such laws to
     exercise corporate trust powers, having a combined capital and surplus of
     at least ten million U.S. dollars ($10,000,000), and subject to supervision
     or examination by federal, state, territorial or District of Columbia
     authority; it being understood that if such corporation or other Person
     publishes reports of condition at least annually, pursuant to law or to the
     requirements of the supervising or examining authority referred to above,
     then, for the purposes of this Section 4.1(a)(ii), the combined capital and
     surplus of such corporation shall be deemed to be its combined capital and
     surplus as set forth in its most recent report of condition so published.

     (b)  If at any time the Capital Securities Guarantee Trustee shall cease to
be eligible to so act under Section 4.1(a), the Capital Securities Guarantee
Trustee shall immediately resign in the manner and with the effect set out in
Section 4.2(c).

     (c)  If the Capital Securities Guarantee Trustee has or shall acquire any
"conflicting interest" within the meaning of Section 310(b) of the Trust
Indenture Act, the Capital Securities Guarantee Trustee and Guarantor shall in
all respects comply with the provisions of Section 310(b) of the Trust Indenture
Act.

     SECTION 4.2    Appointment, Removal and Resignation of Capital Securities
                    ----------------------------------------------------------
Guarantee Trustee
- -----------------

     (a)  Subject to Section 4.2(b), the Capital Securities Guarantee Trustee
may be appointed or removed without cause at any time by the Guarantor except
during an Event of Default.

     (b)  The Capital Securities Guarantee Trustee shall not be removed in
accordance with Section 4.2(a) until a Successor Capital Securities Guarantee
Trustee has been appointed and has accepted such appointment by written
instrument executed by such Successor Capital Securities Guarantee Trustee and
delivered to the Guarantor.

     (c)  The Capital Securities Guarantee Trustee shall hold office until a
Successor Capital Securities Guarantee Trustee shall have been appointed or
until its removal or resignation. The Capital Securities Guarantee Trustee may
resign from office (without need for prior or subsequent accounting) by an
instrument in writing executed by the Capital Securities Guarantee Trustee and

                                     -12-
<PAGE>
 
delivered to the Guarantor, which resignation shall not take effect until a
Successor Capital Securities Guarantee Trustee has been appointed and has
accepted such appointment by instrument in writing executed by such Successor
Capital Securities Guarantee Trustee and delivered to the Guarantor and the
resigning Capital Securities Guarantee Trustee.

     (d)  If no Successor Capital Securities Guarantee Trustee shall have been
appointed and accepted appointment as provided in this Section 4.2 within 60
days after delivery of an instrument of removal or resignation, the Capital
Securities Guarantee Trustee resigning or being removed may petition any court
of competent jurisdiction for appointment of a Successor Capital Securities
Guarantee Trustee. Such court may thereupon, after prescribing such notice, if
any, as it may deem proper, appoint a Successor Capital Securities Guarantee
Trustee.

     (e)  No Capital Securities Guarantee Trustee shall be liable for the acts
or omissions to act of any Successor Capital Securities Guarantee Trustee.

     (f)  Upon termination of this Series B Capital Securities Guarantee or
removal or resignation of the Capital Securities Guarantee Trustee pursuant to
this Section 4.2, the Guarantor shall pay to the Capital Securities Guarantee
Trustee all amounts due to the Capital Securities Guarantee Trustee accrued to
the date of such termination, removal or resignation.

                                   ARTICLE V

                                   GUARANTEE

     SECTION 5.1    Guarantee
                    ---------

     The Guarantor irrevocably and unconditionally agrees to pay in full to the
Holders the Guarantee Payments (without duplication of amounts theretofore paid
by the Issuer), as and when due, regardless of any defense, right of set-off or
counterclaim that the Issuer may have or assert. The Guarantor fully, knowingly
and unconditionally waives any right the Guarantor may have to revoke this
Guarantee under Section 2815 of the California Civil Code or otherwise.  The
Guarantor's obligation to make a Guarantee Payment may be satisfied by direct
payment of the required amounts by the Guarantor to the Holders or by causing
the Issuer to pay such amounts to the Holders.

     SECTION 5.2    Waiver of Notice and Demand
                    ---------------------------

     The Guarantor hereby waives notice of acceptance of this Series B Capital
Securities Guarantee and of any liability to which it applies or may apply,
presentment, demand for payment, any right to require a proceeding first against
the Issuer or any other Person before proceeding against the Guarantor, protest,
notice of nonpayment, notice of dishonor, notice of redemption and all other
notices and demands.

     SECTION 5.3    Obligations Not Affected
                    ------------------------

     The obligations, covenants, agreements and duties of the Guarantor under
this Series B Capital Securities Guarantee shall in no way be affected or
impaired by reason of the happening from time to time of any of the following:

                                     -13-
<PAGE>
 
     (a)  the release or waiver, by operation of law or otherwise, of the
performance or observance by the Issuer of any express or implied agreement,
covenant, term or condition relating to the Series B Capital Securities to be
performed or observed by the Issuer;

     (b)  the extension of time for the payment by the Issuer of all or any
portion of the Distributions, Redemption Price, Liquidation Distribution or any
other sums payable under the terms of the Series B Capital Securities or the
extension of time for the performance of any other obligation under, arising out
of, or in connection with, the Series B Capital Securities;

     (c)  any failure, omission, delay or lack of diligence on the part of the
Holders to enforce, assert or exercise any right, privilege, power or remedy
conferred on the Holders pursuant to the terms of the Series B Capital
Securities, or any action on the part of the Issuer granting indulgence or
extension of any kind;

     (d)  the voluntary or involuntary liquidation, dissolution, sale of any
collateral, receivership, insolvency, bankruptcy, assignment for the benefit of
creditors, reorganization, arrangement, composition or readjustment of debt of,
or other similar proceedings affecting, the Issuer or any of the assets of the
Issuer;

     (e)  any invalidity of, or defect or deficiency in, the Series B Capital
Securities;

     (f)  the settlement or compromise of any obligation guaranteed hereby or
hereby incurred;

     (g)  the consummation of the Exchange Offer (subject to Section 7.1
hereof); or

     (h)  any other circumstance whatsoever that might otherwise constitute a
legal or equitable discharge or defense of a guarantor;

it being the intent of this Section 5.3 that the obligations of the Guarantor
with respect to the Guarantee Payments shall be absolute and unconditional under
any and all circumstances.

     There shall be no obligation of the Holders to give notice to, or obtain
consent of, the Guarantor with respect to the happening of any of the foregoing.

     SECTION 5.4    Rights of Holders
                    -----------------

     (a) The Holders of a Majority in Liquidation Amount of the Series B Capital
Securities have the right to direct the time, method and place of conducting any
proceeding for any remedy available to the Capital Securities Guarantee Trustee
in respect of this Series B Capital Securities Guarantee or exercising any trust
or power conferred upon the Capital Securities Guarantee Trustee under this
Series B Capital Securities Guarantee.

     (b) If the Capital Securities Guarantee Trustee fails to enforce this
Series B Capital Securities Guarantee, any Holder of Series B Capital Securities
may institute a legal proceeding directly against the Guarantor to enforce the
Capital Securities Guarantee Trustee's rights under this Series B Capital
Securities Guarantee, without first instituting a legal proceeding against the
Issuer, the Capital Securities Guarantee Trustee or any other person or entity.
The Guarantor waives any 

                                     -14-
<PAGE>
 
right or remedy to require that any action be brought first against the Issuer
or any other person or entity before proceeding directly against the Guarantor.

     SECTION 5.5    Guarantee of Payment
                    --------------------

     This Series B Capital Securities Guarantee creates a guarantee of payment
and not of collection.

     SECTION 5.6    Subrogation
                    -----------

     The Guarantor shall be subrogated to all (if any) rights of the Holders of
Series B Capital Securities against the Issuer in respect of any amounts paid to
such Holders by the Guarantor under this Series B Capital Securities Guarantee;
provided, however, that the Guarantor shall not (except to the extent required
- --------  -------                                                             
by mandatory provisions of law) be entitled to enforce or exercise any right
that it may acquire by way of subrogation or any indemnity, reimbursement or
other agreement, in all cases as a result of payment under this Series B Capital
Securities Guarantee, if, at the time of any such payment, any amounts are due
and unpaid under this Series B Capital Securities Guarantee. If any amount shall
be paid to the Guarantor in violation of the preceding sentence, the Guarantor
agrees to hold such amount in trust for the Holders and to pay over such amount
to the Holders.

     SECTION 5.7    Independent Obligations
                    -----------------------

     The Guarantor acknowledges that its obligations hereunder are independent
of the obligations of the Issuer with respect to the Series B Capital
Securities, and that the Guarantor shall be liable as principal and as debtor
hereunder to make Guarantee Payments pursuant to the terms of this Series B
Capital Securities Guarantee notwithstanding the occurrence of any event
referred to in subsections (a) through (h), inclusive, of Section 5.3 hereof.


                                  ARTICLE VI

                   LIMITATION OF TRANSACTIONS; SUBORDINATION

     SECTION 6.1    Limitation of Transactions
                    --------------------------

     So long as any Capital Securities remain outstanding, the Guarantor shall
not (i) declare or pay any dividends or distributions on, or redeem, purchase,
acquire, or make a liquidation payment with respect to, any of the Guarantor's
capital stock, (ii) make any payment of principal of or interest or premium, if
any, on or repay, repurchase or redeem any debt securities of the Guarantor
(including Other Debentures) that rank pari passu with or junior in right of
payment to the Debentures or (iii) make any guarantee payments with respect to
any guarantee by the Guarantor of the debt securities of any subsidiary of the
Guarantor (including Other Guarantees) if such guarantee ranks pari passu with
or junior in right of payment to the Debentures (other than (a) dividends or
distributions in shares of, or options, warrants, rights to subscribe for or
purchase shares of, common stock of the Guarantor, (b) any Trust Agreement of a
dividend in connection with the implementation of a shareholders' rights plan,
or the issuance of stock under any such plan in the future, or the redemption or
repurchase of any such rights pursuant thereto, (c) payments under the Series A
Capital Securities Guarantee and this Series B Capital Securities Guarantee, (d)
as a result of a 

                                     -15-
<PAGE>
 
reclassification of the Guarantor's capital stock or the exchange or the
conversion of one class or series of the Guarantor's capital stock for another
class or series of the Guarantor's capital stock, (e) the purchase of fractional
interests in shares of the Guarantor's capital stock pursuant to the conversion
or exchange provisions of such capital stock or the security being converted or
exchanged, and (f) purchases of common stock related to the issuance of common
stock or rights under any of the Guarantor's benefit or compensation plans for
its directors, officers or employees or any of the Guarantor's dividend
reinvestment plans) if at such time (l) there shall have occurred any event of
which the Guarantor has actual knowledge that (A) is a Default (as defined in
the Indenture) or an Event of Default (as defined in the Indenture) and (B) in
respect of which the Guarantor shall not have taken reasonable steps to cure,
(2) if the Debentures are held by the Property Trustee, the Guarantor shall be
in default with respect to its payment of any obligations under this Series B
Capital Securities Guarantee or (3) the Guarantor shall have given notice of its
election of the exercise of its right to commence an Extended Interest Payment
Period as provided in the Indenture and shall not have rescinded such notice,
and such Extended Interest Payment Period, or an extension thereof, shall have
commenced and be continuing.

     SECTION 6.2    Ranking
                    -------

     This Series B Capital Securities Guarantee will constitute an unsecured
obligation of the Guarantor and will rank (i) subordinate and junior in right of
payment to Senior Indebtedness (as defined in the Indenture), to the same extent
and in the same manner that the Debentures are subordinated to Senior
Indebtedness pursuant to the Indenture, it being understood that the terms of
Article XV of the Indenture shall apply to the obligations of the Guarantor
under this Series B Capital Securities Guarantee as if such Article XV were set
forth herein in full, (ii) pari passu with the most senior preferred or
preference stock now or hereafter issued by the Guarantor and with the Series A
Capital Securities Guarantee, any Other Guarantee and, except to the extent set
forth therein, the Common Securities Guarantee, any Other Common Securities
Guarantee, and any guarantee now or hereafter entered into by the Guarantor in
respect of any preferred or preference stock of any Affiliate of the Guarantor,
and (iii) senior to the Guarantor's common stock.


                                  ARTICLE VII

                                  TERMINATION

     SECTION 7.1    Termination
                    -----------

     This Series B Capital Securities Guarantee shall terminate and be of no
further force and effect upon (i) full payment of the Redemption Price of all
Series B Capital Securities, or (ii) dissolution, winding up or liquidation of
the Issuer, immediately following the full payment of the amounts payable in
accordance with the Trust Agreement or the distribution of all of the Debentures
to the holders of the Trust Securities. Notwithstanding the foregoing, this
Series B Capital Securities Guarantee will continue to be effective or will be
reinstated, as the case may be, if at any time any Holder of Series B Capital
Securities must restore payment of any sums paid under the Series B Capital
Securities or under this Series B Capital Securities Guarantee.

                                     -16-
<PAGE>
 
                                 ARTICLE VIII

                                INDEMNIFICATION

     SECTION 8.1    Exculpation
                    -----------

     (a) No Indemnified Person shall be liable, responsible or accountable in
damages or otherwise to the Guarantor or any Covered Person for any loss, damage
or claim incurred by reason of any act or omission performed or omitted by such
Indemnified Person in good faith in accordance with this Series B Capital
Securities Guarantee and in a manner that such Indemnified Person reasonably
believed to be within the scope of the authority conferred on such Indemnified
Person by this Series B Capital Securities Guarantee or by law, except that an
Indemnified Person shall be liable for any such loss, damage or claim incurred
by reason of such Indemnified Person's negligence or willful misconduct with
respect to such acts or omissions.

     (b) An Indemnified Person shall be fully protected in relying in good faith
upon the records of the Guarantor and upon such information, opinions, reports
or statements presented to the Guarantor by any Person as to matters the
Indemnified Person reasonably believes are within such other Person's
professional or expert competence and who has been selected with reasonable care
by or on behalf of the Guarantor, including information, opinions, reports or
statements as to the value and amount of the assets, liabilities, profits,
losses, or any other facts pertinent to the existence and amount of assets from
which Distributions to Holders of Series B Capital Securities might properly be
paid.

     SECTION 8.2    Compensation and Indemnification
                    --------------------------------

     The Guarantor agrees to pay to the Capital Securities Guarantee Trustee
such compensation for its services as shall be mutually agreed upon by the
Guarantor and the Capital Securities Guarantee Trustee. The Guarantor shall
reimburse the Capital Securities Guarantee Trustee upon request for all
reasonable out-of-pocket expenses incurred by it, including the reasonable
compensation and expenses of the Capital Securities Guarantee Trustee's agents
and counsel, except any expense as may be attributable to the negligence or bad
faith of the Capital Securities Guarantee Trustee.

     The Guarantor agrees to indemnify each Indemnified Person for, and to hold
each Indemnified Person harmless against, any and all loss, liability, damage,
action, suit, claim or expense incurred without negligence or bad faith on its
part, arising out of or in connection with the acceptance or administration of
the trust or trusts hereunder, including the costs and expenses (including
reasonable legal fees and expenses) of defending itself against, or
investigating, any claim or liability in connection with the exercise or
performance of any of its powers or duties hereunder. The provisions of this
Section 8.2 shall survive the termination of this Series B Capital Securities
Guarantee and shall survive the resignation or removal of the Capital Securities
Guarantee Trustee.

                                     -17-
<PAGE>
 
                                  ARTICLE IX

                                 MISCELLANEOUS

     SECTION 9.1    Successors and Assigns
                    ----------------------

     All guarantees and agreements contained in this Series B Capital Securities
Guarantee shall bind the successors, assigns, receivers, trustees and
representatives of the Guarantor and shall inure to the benefit of the Holders
of the Series B Capital Securities then outstanding.

     SECTION 9.2    Amendments
                    ----------

     Except with respect to any changes that do not materially adversely affect
the rights of Holders of the Capital Securities (in which case no consent of
such Holders will be required), this Series B Capital Securities Guarantee may
only be amended with the prior approval of the Holders of a Majority in
Liquidation Amount of the Series B Capital Securities. The provisions of Section
12.2 of the Trust Agreement with respect to meetings of Holders of the Trust
Securities apply to the giving of such approval. This Series B Capital
Securities Guarantee may not be amended, and no amendment hereof that affects
the Capital Securities Guarantee Trustee's rights, duties or immunities
hereunder or otherwise, shall be effective, unless such amendment is executed by
the Capital Securities Guarantee Trustee (which shall have no obligation to
execute any such amendment, but may do so in its sole discretion).

     SECTION 9.3    Notices
                    -------

     All notices provided for in this Series B Capital Securities Guarantee
shall be in writing, duly signed by the party giving such notice, and shall be
delivered, telecopied or mailed by first class mail, as follows:

     (a) If given to the Issuer, in care of the Administrative Trustee at the
Issuer's mailing address set forth below (or such other address as the Issuer
may give notice of to the Capital Securities Guarantee Trustee and the Holders
of the Series B Capital Securities):

               GBB CAPITAL II
               c/o Greater Bay Bancorp
               2860 West Bayshore Road
               Palo Alto, California  94303
               Attention:     Steven C. Smith
               Telecopy: (650) 494-9193
               Telephone:     (650) 813-8200

                                     -18-
<PAGE>
 
     (b) If given to the Capital Securities Guarantee Trustee, at the Capital
Securities Guarantee Trustee's mailing address set forth below (or such other
address as the Capital Securities Guarantee Trustee may give notice of to the
Holders of the Series B Capital Securities):

               WILMINGTON TRUST COMPANY
               Rodney Square North
               1100 North Market Street
               Wilmington, Delaware  19890-0001
               Attention:     Corporate Trust Administration
               Telecopy: (302) 651-1576
               Telephone:     (302) 651-1000

     (c) If given to the Guarantor, at the Guarantor's mailing address set forth
below (or such other address as the Guarantor may give notice of to the Capital
Securities Guarantee Trustee and the Holders of the Series B Capital
Securities):

               GREATER BAY BANCORP
               2860 West Bayshore Road
               Palo Alto, California  94303
               Attention:     Steven C. Smith
               Telecopy: (650) 494-9193
               Telephone:     (650) 813-8200

     (d) If given to any Holder of Series B Capital Securities, at the address
set forth on the books and records of the Issuer.

     All such notices shall be deemed to have been given when received in
person, telecopied with receipt confirmed, or mailed by first class mail,
postage prepaid except that if a notice or other document is refused delivery or
cannot be delivered because of a changed address of which no notice was given,
such notice or other document shall be deemed to have been delivered on the date
of such refusal or inability to deliver.

     SECTION 9.4    Benefit
                    -------

     This Series B Capital Securities Guarantee is solely for the benefit of the
Holders of the Series B Capital Securities and, subject to Section 3.1(a), is
not separately transferable from the Series B Capital Securities.

     SECTION 9.5    Governing Law
                    -------------

     THIS SERIES B CAPITAL SECURITIES GUARANTEE SHALL BE GOVERNED BY, AND
CONSTRUED AND INTERPRETED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF NEW YORK
WITHOUT REGARD TO CONFLICT OF LAW PRINCIPLES THEREOF.

     This Series B Capital Securities Guarantee is executed as of the day and
year first above written.

                                     -19-
<PAGE>
 
                        GREATER BAY BANCORP
                        as Guarantor


                        By:_____________________________________________________
                           Steven C. Smith
                           Executive Vice President, Chief Operating Officer and
                           Chief Financial Officer

                        WILMINGTON TRUST COMPANY,
                        as Capital Securities Guarantee Trustee

                        By:_____________________________________________________
                           Name:   Patricia A. Evans
                           Title:  Financial Services Officer

                                     -20-

<PAGE>
 
[LOGO OF
MANATT PHELPS
PHILLIPS APPEARS
HERE]

                                                                     EXHIBIT 5.1
                                                                     -----------


September 30, 1998                                            File No: 14359-043


Greater Bay Bancorp
2860 West Bayshore Road
Palo Alto, California  94303

          RE:  REGISTRATION STATEMENT ON FORM S-4

Ladies and Gentlemen:

          We have acted as special counsel to Greater Bay Bancorp, a California
corporation ("GBB") and GBB Capital II, a statutory business trust formed at the
direction of GBB under the laws of the State of Delaware ("GBB Capital II"), in
connection with the preparation and filing under the Securities Act of 1933, as
amended (the "Act"), of a Registration Statement on Form S-4 to be filed with
the Securities and Exchange Commission on or about September __, 1998 (the
"Registration Statement").  The Registration Statement relates to (i) the
issuance by GBB Capital II of up to and including $30.0 million aggregate
Liquidation Amount of Floating Rate Capital Securities, Series B (the "Exchange
Capital Securities"), in exchange for up to and including $30.0 million
aggregate Liquidation Amount of its outstanding Floating Rate Capital
Securities, Series A (the "Original Capital Securities"); (ii) the issuance by
GBB to GBB Capital II, in an aggregate principal amount corresponding to the
aggregate Liquidation Amount of the Exchange Capital Securities, of GBB's
Floating Rate Junior Subordinated Deferrable Interest Debentures due September
15, 2028, Series B (the "Exchange Junior Subordinated  Debentures"), in exchange
for a comparable aggregate principal amount of GBB's outstanding Floating Rate
Junior Subordinated Deferrable Interest Debentures due September 15, 2028,
Series A (the "Original Junior Subordinated Debentures"); and (iii) the Series B
Capital Securities Guarantee by GBB (the "Exchange Guarantee") in connection
with the Exchange Capital Securities, and as further described in the
Registration Statement (the "Offering").

          For the purpose of rendering the opinions set forth herein, we have
been furnished with and examined only the following documents:

          1.  The Articles of Incorporation of GBB, certified by the California
Secretary of State as of September 25, 1998;

          2.  The Bylaws of GBB, certified by the Assistant Secretary of GBB as
of September 30, 1998;

           [LETTERHEAD MANATT, PHELPS & PHILLIPS, LLP APPEARS HERE]
<PAGE>
 
MANATT, PHELPS & PHILLIPS, LLP
  Greater Bay Bancorp
  September 30, 1998
  Page 2


          3.  The Registration Statement;

          4.  The Indenture between GBB and Wilmington Trust Company ("WTC"),
dated as of August 12, 1998, filed as Exhibit 4.1 to the Registration Statement
(the "Indenture");

          5.  The Form of Exchange Junior Subordinated Debenture, filed as
Exhibit 4.2 to the Registration Statement;

          6.  The Registration Rights Agreement among Greater Bay Bancorp, GBB
Capital II, and Sandler O'Neill & Partners, L.P., dated as of August 7, 1998,
filed as Exhibit 4.3 to the Registration Statement;

          7.  The Amended and Restated Trust Agreement of GBB Capital II, among
GBB, WTC and the Administrative Trustees named therein dated as of August 12,
1998, filed as Exhibit 4.5 to the Registration Statement;

          8.  The Form of Exchange Capital Security Certificate, filed as
Exhibit A-1 to Exhibit 4.6 to the Registration Statement;

          9.  The Exchange Guarantee, filed as Exhibit 4.9 to the Registration
Statement; and

          10.  Resolutions adopted at a meeting of the Board of Directors of GBB
held on July 21, 1998 pertaining to the Offering.

          With respect to all of the foregoing documents, we have assumed,
without investigation, the genuineness of all signatures, the authenticity of
all documents submitted to us as originals and the conformity to originals of
all documents submitted to us as certified or reproduced copies.  We also have
obtained from the officers of GBB such advice as to such factual matters as we
consider necessary for the purpose of this opinion, and insofar as this opinion
is based on such matters of fact, we have relied on such advice without
investigation.  We also have obtained and relied upon certificates and other
communications from governmental authorities as to matters concerning the due
incorporation, valid existence and good standing of GBB, and our opinion with
respect to such matters is based solely upon such certificates.

<PAGE>
 
MANATT, PHELPS & PHILLIPS, LLP
  Greater Bay Bancorp
  September 30, 1998
  Page 3


     Based upon and subject to the foregoing, we are of the opinion that:

              (1) Following effectiveness of the Registration Statement and when
executed and authenticated in the manner provided for in the Indenture and
delivered against surrender and cancellation of a like aggregate principal
amount of Original Junior Subordinated Debentures as contemplated in the
Registration Rights Agreement, the Exchange Junior Subordinated Debentures will
constitute binding obligations of  GBB enforceable in accordance with their
terms, except as may be limited by bankruptcy, insolvency, reorganization,
moratorium or other laws affecting creditors' rights (including, without
limitation, the effect of statutory and other law regarding fraudulent
conveyances, fraudulent transfers and preferential  transfers) and as may be
limited by the exercise of judicial discretion and the application of principles
of equity including, without limitation, requirements of good faith, fair
dealing, conscionability and materiality (regardless of whether the Exchange
Junior Subordinated Debentures are considered in a proceeding in equity or at
law); and

              (2) Following effectiveness of the Registration Statement and when
executed by GBB and WTC, as Guarantee Trustee, and delivered as contemplated in
the Registration Rights Agreement, the Exchange Guarantee will constitute a
binding obligation of GBB enforceable in accordance with its terms, except as
may be limited by bankruptcy, insolvency, reorganization, moratorium or other
laws affecting creditors' rights (including, without limitation, the effect of
statutory and other law regarding fraudulent conveyances, fraudulent transfers
and preferential 
<PAGE>
 
MANATT, PHELPS & PHILLIPS, LLP
  Greater Bay Bancorp
  September 30, 1998
  Page 4

transfers) and as may be limited by the exercise of judicial discretion and the
application of principles of equity including, without limitation, requirements
of good faith, fair dealing, conscionability and materiality (regardless of
whether the Exchange Guarantee is considered in a proceeding in equity or at
law).

          The foregoing opinion is also subject to the following comments and
qualifications:

          (a) The enforceability of certain provisions of the Exchange Junior
Subordinated Debentures and the Exchange Guarantee may be limited by laws
rendering unenforceable the release of a party from, or the indemnification of a
party against, liability for its own wrongful or negligent acts under certain
circumstances, and indemnification contrary to Federal or state securities laws
and the public policy underlying such laws.

          (b) The enforceability of provisions in the Exchange Junior
Subordinated Debentures and the Exchange Guarantee, to the effect that the terms
may not be waived or modified except in writing, may be limited under certain
circumstances.

          (c) We advise you that, under certain circumstances, a guaranty
executed by a corporate shareholder of a corporate borrower may not be enforced
as an obligation separate from the obligation guaranteed if it is determined
that the borrower is merely an alter ego or nominee of the guarantor and that
the "true" borrower is the guarantor.  If the guarantor is deemed to be liable
as a primary obligor, it is likely that the guarantor also will be entitled to
the rights and defenses otherwise available to a primary obligor.

          (d) We also advise you of California statutory provisions and case
law, including defenses set forth in Union Bank v. Gradsky, 265 Cal.App. 2d 40
                                     ---------------------                    
(1968) and defenses arising from California Civil Code Section 2787 et seq.
                                                                    -- ----
relating to suretyship defenses or rights of redemption, to the effect that, in
certain circumstances, a surety may be exonerated if the creditor materially
alters the original obligation of the principal without the consent of the
guarantor, elects remedies for default which impairs the subrogation rights of
the guarantor against the principal, or otherwise takes any action without
notifying the guarantor which materially prejudices the guarantor. However,
there is also authority to the effect that a guarantor may validly waive such
rights, if such waivers are expressly set forth in the guaranty. While we
believe that a California court should hold that the explicit language contained
in the Guarantee waiving such rights should be enforceable, we express no
opinion with respect to the effect of (i) any modification to or amendment of
the obligations of GBB Capital II which materially increases such obligations;
(ii) any election of remedies by GBB Capital II following the occurrence of an
event of default; or (iii) any other action by GBB Capital II which materially
prejudices any guarantor, if, in any such instance, such modification, election
or action occurs without notice to any guarantor and without granting to any
guarantor an opportunity to cure any default by GBB Capital II.
<PAGE>
 
MANATT, PHELPS & PHILLIPS, LLP
  Greater Bay Bancorp
  September 30, 1998
  Page 5

          Our opinions set forth herein relate solely to the Exchange Junior
Subordinated Debentures and the Exchange Guarantee and not to any separate
agreement or undertaking which is referenced therein or the performance of which
is a condition to the enforceability thereof.

          Our opinions set forth herein are limited to those matters expressly
set forth herein, and no opinion may be implied or inferred beyond the matters
expressly stated herein.  We hereby disclaim any obligation to notify any person
or entity after the date hereof if any change in fact or law should change our
opinion with respect to any matter set forth in this letter.

          This opinion is limited to the current laws of the State of New York,
the State of California, to present judicial interpretations thereof and to
facts as they presently exist.  In rendering this opinion, we have no obligation
to revise or supplement it should the current laws of the State of New York or
the State of California be changed by legislative action, judicial decision or
otherwise.

          Capitalized terms used herein have the meanings ascribed to such terms
in the Registration Statement. We hereby consent to the filing of this opinion
as an exhibit to the Registration Statement and to the reference to us under the
caption "Legal Matters" in the prospectus which is part of the Registration
Statement.

                              Very truly yours,

                              /s/ Manatt, Phelps & Phillips, LLP

                              Manatt, Phelps & Phillips, LLP



<PAGE>
 
                [LETTERHEAD OF RICHARDS, LAYTON & FINGER, P.A.]
 
                                                                     EXHIBIT 5.2

                              September 30, 1998



GBB Capital II
c/o Greater Bay Bancorp
2860 West Bayshore Road
Palo Alto, California 94303

          Re:  GBB Capital II
               --------------

Ladies and Gentlemen:

          We have acted as special Delaware counsel for GBB Capital II, a
Delaware business trust (the "Trust"), in connection with the matters set forth
herein.  At your request, this opinion is being furnished to you.

          For purposes of giving the opinions hereinafter set forth, our
examination of documents has been limited to the examination of originals or
copies of the following:

          (a) The Certificate of Trust of the Trust, dated May 18, 1998 (the
"Certificate"), as filed in the office of the Secretary of State of the State of
Delaware (the "Secretary of State") on May 18, 1998;

          (b) The Trust Agreement of the Trust, dated as of May 18, 1998, among
Greater Bay Bancorp, a California corporation (the "Company"), and the trustees
of the Trust named therein;

          (c) The Supplement to the Original Trust Agreement, dated as of July
31, 1998, by and among the Corporation, as sponsor, and the trustees of the
Trust named therein;

          (d) The Amended and Restated Trust Agreement, dated as of August 12,
1998 (including Annex I, Exhibits A-1 and A-2 thereto) (the "Trust Agreement"),
by and among the Corporation, as sponsor, the trustees of the Trust named
therein (the "Trustees"), and the holders, from time to time, of undivided
beneficial interests in the assets of the Trust (the "Trust Agreement");
<PAGE>
 
GBB Capital II
September 30, 1998
Page 2

          (e) The Registration Statement (the "Registration Statement") on Form
S-4, including a prospectus (the "Prospectus") relating to the $30,000,000
aggregate Liquidation Amount of Floating Rate Capital Securities, Series B of
the Trust representing undivided beneficial interests in the assets of the Trust
(each, a "Capital Security" and collectively, the "Capital Securities"), as
filed by the Company and the Trust with the Securities and Exchange Commission
on September 29, 1998;

          (f) A Certificate of Good Standing for the Trust, dated September 29,
1998, obtained from the Secretary of State.

          Initially capitalized terms used herein and not otherwise defined are
used as defined in the Trust Agreement.

          For purposes of this opinion, we have not reviewed any documents other
than the documents listed above, and we have assumed that there exists no
provision in any document that we have not reviewed that bears upon or is
inconsistent with the opinions stated herein.  We have conducted no independent
factual investigation of our own but rather have relied solely upon the
foregoing documents, the statements and information set forth therein and the
additional matters recited or assumed herein, all of which we have assumed to be
true, complete and accurate in all material respects.

          With respect to all documents examined by us, we have assumed (i) the
authenticity of all documents submitted to us as authentic originals, (ii) the
conformity with the originals of all documents submitted to us as copies or
forms, and (iii) the genuineness of all signatures.

          For purposes of this opinion, we have assumed (i) that the Trust
Agreement constitutes the entire agreement among the parties thereto with
respect to the subject matter thereof, including with respect to the creation,
operation and termination of the Trust, and that the Trust Agreement and the
Certificate are in full force and effect and have not been amended, (ii) except
to the extent provided in paragraph 1 below, the due creation or due
organization or due formation, as the case may be, and valid existence in good
standing of each party to the documents examined by us under the laws of the
jurisdiction governing its creation, organization or formation, (iii) the legal
capacity of natural persons who are parties to the documents examined by us,
(iv) that each of the parties to the documents examined by us has the power and
authority to execute and deliver, and to perform its obligations under, such
documents, (v) the due authorization, execution and delivery by all parties
thereto of all documents examined by us, (vi) the receipt by each Person to whom
a Capital Security was issued by the Trust (collectively, the "Capital Security
Holders") of a Capital Security Certificate for such Capital Security and the
payment for the Capital Security acquired by it, in accordance with the Trust
Agreement and the Prospectus, and (vii) that the Capital Securities were issued
and sold to the Capital Security Holders in accordance with the Trust Agreement
and
<PAGE>
 
GBB Capital II
September 30, 1998
Page 3

the Prospectus.  We have not participated in the preparation of the Registration
Statement and assume no responsibility for its contents.

          This opinion is limited to the laws of the State of Delaware
(excluding the securities laws of the State of Delaware), and we have not
considered and express no opinion on the laws of any other jurisdiction,
including federal laws and rules and regulations relating thereto.  Our opinions
are rendered only with respect to Delaware laws and rules, regulations and
orders thereunder which are currently in effect.

          Based upon the foregoing, and upon our examination of such questions
of law and statutes of the State of Delaware as we have considered necessary or
appropriate, and subject to the assumptions, qualifications, limitations and
exceptions set forth herein, we are of the opinion that:

          1.  The Trust has been duly created and is validly existing in good
standing as a business trust under the Delaware Business Trust Act, 12 Del. C.
                                                                       -------
(S) 3801, et seq.
          -- --- 

          2.  The Capital Securities represent valid and, subject to the
qualifications set forth in paragraph 3 below, fully paid and nonassessable
undivided beneficial interests in the assets of the Trust.

          3.  The Capital Security Holders, as beneficial owners of the Trust,
are entitled to the same limitation of personal liability extended to
stockholders of private corporations for profit organized under the General
Corporation Law of the State of Delaware. We note that the Capital Security
Holders may be obligated to make payments as set forth in the Trust Agreement.

     We consent to the filing of this opinion with the Securities and Exchange
Commission as an exhibit to the Registration Statement.  In addition, we hereby
consent to the use of our name under the heading "Legal Matters" in the
Prospectus.  In giving the foregoing consents, we do not thereby admit that we
come within the category of Persons whose consent is required under Section 7 of
the Securities Act of 1933, as amended, or the rules and regulations of the
Securities and Exchange Commission thereunder.  Except as stated above, without
our prior written consent, this opinion may not be furnished or quoted to, or
relied upon by, any other Person for any purpose.

                                   Very truly yours,

                                   /s/ Richards, Layton & Finger, P.A. 

                                   Richards, Layton & Finger, P.A.


<PAGE>
 
                                                                     EXHIBIT 8.1

[LETTERHEAD OF MANATT PHELPS PHILLIPS APPEARS HERE]

September 30, 1998



Board of Directors
Greater Bay Bancorp
2860 West Bayshore Road
Palo Alto, CA  94303

GBB Capital II
2860 West Bayshore Road
Palo Alto, CA  94303

         RE:  CERTAIN FEDERAL INCOME TAX CONSEQUENCES OF THE EXCHANGE OF
              FLOATING RATE CAPITAL SECURITIES, SERIES B, FOR FLOATING RATE
              CAPITAL SECURITIES, SERIES A

Ladies and Gentlemen:

         In accordance with your request, we provide the following analysis and
opinions relating to certain federal income tax consequences of the transaction
(the "Exchange") whereby GBB Capital II, a trust formed under the laws of the
State of Delaware ("GBB Capital II"), will exchange its Floating Rate Capital
Securities, Series B (the "Exchange Capital Securities"), up to and including
$30,000,000 aggregate Liquidation Amount for a like Liquidation Amount of its
outstanding Floating Rate Capital Securities, Series A (the "Original Capital
Securities").  The offer of GBB Capital II to enter into the Exchange is
described in a Registration Statement on Form S-4 filed with the Securities and
Exchange Commission on September __, 1998.  Defined terms used herein have the
same meanings as in such Registration Statement.

         In connection with the offer for the Exchange, Greater Bay Bancorp, a
California corporation ("Greater Bay"), is also offering to exchange (i) its
guarantee of payments of cash distributions and payments on liquidation of GBB
Capital II or redemption of the Exchange Capital Securities (the "Exchange
Guarantee") for its like guarantee in respect of the Original Capital
Securities, and (ii) $30,000,000 aggregate principal amount of its Floating Rate
Junior Subordinated Deferrable Interest Debentures, Series B, due September 15,
2028, (the "Exchange Junior Subordinated Debentures") for a like principal
amount of its Floating Rate Junior Subordinated Deferrable Interest Debentures,
Series A, due September 15, 2028. The Exchange Capital Securities, the Exchange
Guarantee and the Exchange Junior Subordinated Debentures have been registered
under the Securities Act of 1933, as amended (the "Securities Act").
<PAGE>
 
MANATT, PHELPS & PHILLIPS, LLP

September 30, 1998
Page 2



         The Exchange Capital Securities are identical in all material respects
to the respective terms of the Original Capital Securities, except that (i) the
Exchange Capital Securities have been registered under the Securities Act, and
therefore will not be subject to certain restrictions on transfer applicable to
the Original Capital Securities, (ii) the Exchange Capital Securities will not
provide for any increase in the Distribution Rate therein, and (iii) the
Exchange Junior Subordinated Debentures will not provide for any Liquidated
Damages.

         We have acted as special counsel to Greater Bay and GBB Capital II in
connection with the proposed exchange and are rendering these opinions to
Greater Bay and GBB Capital II at their request.  This letter is being issued
solely for the benefit of Greater Bay and GBB Capital II.   It may not be relied
upon by any other person without our prior written consent.

         Our analysis and the opinions set forth herein are based upon the
presumed accuracy of facts as set forth in that certain Registration Statement
on Form S-4 referred to above. Our analysis and opinions are also based on
certain written representations to us from Greater Bay and GBB Capital II in a
letter of even date herewith. The facts contained in the above-referenced
documents are incorporated herein by reference as the operative facts underlying
the tax opinions set forth herein. We have assumed that all of the obligations
imposed by the operative documents on the parties thereto have been and will
continue to be performed or satisfied in accordance with their terms. We have
also assumed the genuineness of all signatures, the proper execution of all
documents, the authenticity of all documents submitted to us for review, the
conformity to originals of documents submitted to us as copies, and the
authenticity of the originals from which any copies were made. One of our key
assumptions for purposes of this letter is that the facts set forth in the
documents referred to above are accurate on the date of this analysis and remain
accurate to the consummation of the Exchange and are otherwise true, complete,
and correct. Any change or inaccuracy in such facts may adversely affect our
opinions.

         In rendering these opinions, we have examined such documents, laws,
regulations and other legal matters as we have considered necessary or
appropriate for purposes of the opinions expressed herein.  We have not made any
independent investigation in rendering these opinions other than as described
herein.

         Our opinions are based upon the Internal Revenue Code of 1986, as
amended (the "Code"), as of the date hereof and currently applicable Treasury
Regulations promulgated under the Code (including proposed Treasury
Regulations), published administrative positions of the Internal Revenue Service
in revenue rulings and revenue procedures, and judicial decisions. Such legal
authorities are all subject to change, either prospectively or retroactively.
No
<PAGE>
 
MANATT, PHELPS & PHILLIPS, LLP

September 30, 1998
Page 3


assurance can be provided as to the effect of any such change upon our opinions.
We have undertaken no obligation to update our opinions.

         The opinions set forth herein have no binding effect on the Internal
Revenue Service or the courts.  No assurance can be given that, if contested, a
court would agree with the opinions set forth herein.  The opinions set forth
herein represent rather our best legal judgment as to the likely outcome of the
issues addressed herein if such issues were litigated.

         In the case of transactions as complex as the Exchange, many federal,
state and local income and other tax consequences arise.  We have been asked
only to address the issues specifically set forth below.  No opinion is
expressed regarding any other issues.
 
         Subject to the foregoing, it is our opinion that the section in the
Form S-4 Registration Statement and the prospectus therein titled "Certain
Federal Income Tax Consequences," to the extent that it constitutes matters of
law or purports to describe certain provisions of the federal income tax laws,
is a correct summary in all material respects of the matters discussed therein.
It is also our opinion that the exchange of Original Capital Securities for
Exchange Capital Securities in the Exchange will not be a taxable event to
holders for federal income tax purposes.

         We hereby consent to the filing of this opinion as an exhibit to the
Registration Statement referred to above and to the reference to us under the
caption "Certain Federal Income Tax Consequences" in the Registration Statement
and the prospectus contained therein.  In giving such consent, we do not admit
that we are in the category of persons whose consent is required under Section 7
of the Securities Act.

 
                             Very truly yours,

                             /s/ Manatt, Phelps & Phillips, LLP 

                             Manatt, Phelps & Phillips, LLP

<PAGE>
 
                                                                      EXHIBIT 12
                                                                                
                    GREATER BAY BANCORP REPORT ON FORM S-4
        STATEMENTS RE COMPUTATION OF RATIOS OF EARNINGS TO FIXED CHARGES

<TABLE>
<CAPTION>
                                                      FOR THE SIX MONTHS 
                                                        ENDED JUNE 30,            FOR THE YEARS ENDED DECEMBER 31,
                                                    -------------------   -----------------------------------------------------
(Dollars in Thousands)                                1998       1997       1997       1996       1995       1994       1993
- ---------------------                               --------    -------   ---------  ---------  ---------  ---------  ---------
<S>                                                 <C>       <C>         <C>        <C>        <C>        <C>        <C>
Income before income taxes........................    10,042      9,119      17,475      9,852      7,880      7,075      5,084
Fixed charges:                                                
  Interest expense................................    21,310     15,136      32,872     21,701     18,589     11,747     10,313
  Interest factor of rental expense...............       436        440         829        682        590        537        496
                                                    --------    -------   ---------  ---------  ---------  ---------  ---------
     Fixed charges................................    21,746     15,576      33,701     22,383     19,179     12,284     10,809
Less: interest expense on deposits................    18,260     14,080      30,639     21,220     17,743     11,365     10,284
                                                    --------    -------   ---------  ---------  ---------  ---------  ---------
  Net fixed charges...............................     3,486      1,496       3,062      1,163      1,436        919        525
                                                    --------    -------   ---------  ---------  ---------  ---------  ---------
Earnings, excluding interest on deposits..........    13,528     10,615      20,537     11,015      9,316      7,994      5,609
                                                    ========    =======   =========  =========  =========  =========  =========
Ratio of earnings, excluding interest on                      
 deposits, to net fixed charges(1)................      3.88       7.10        6.71       9.47       6.49       8.70      10.69
                                                              
Earnings, including interest on deposits..........    31,788     24,695      51,176     32,235     27,059     19,359     15,893
Ratio of earnings, including interest on                      
 deposits, to fixed charges(2)....................      1.46       1.59        1.52       1.44       1.41       1.58       1.47
</TABLE>
- --------------
(1) For the purposes of computing the ratio of earnings, excluding interest on
    deposits, to net fixed charges, earnings represent income before income
    taxes plus net fixed charges. Net fixed charges include interest expense,
    other than interest on deposits, and that portion of rental expense,
    generally one third, deemed representative of the interest factor.
(2) For the purposes of computing the ratio of earnings, including interest on
    deposits, to fixed charges, earnings represent income before income taxes
    plus fixed charges. Fixed charges include interest expense and that portion
    of rental expense, generally one third, deemed representative of the
    interest factor.



<PAGE>
 
                                                                    Exhibit 23.3
                                                                    ------------

                      CONSENT OF INDEPENDENT ACCOUNTANTS


September 29, 1998

We consent to the incorporation by reference in this registration statement of
Greater Bay Bancorp on Form S-4, as filed with the SEC on September 30, 1998, 
of our report dated September 2, 1998 included in the Form 8-K, as filed with
the SEC on September 30, 1998 and our report dated February 20, 1998, except as
to information provided in Note 18, for which the date is March 24, 1998,
included in the Annual Report on Form 10-K as filed with the SEC on March 31,
1998, on our audits of the consolidated financial statements of Greater Bay
Bancorp and Subsidiaries as of December 31, 1997 and 1996, and for each of the
three years in the period ended December 31, 1997. We also consent to the
reference to our firm under the caption "Experts."

/s/ PricewaterhouseCoopers LLP

<PAGE>
 
                                     Registration No.
================================================================================

                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C.  20549

                                   FORM T-1

         STATEMENT OF ELIGIBILITY UNDER THE TRUST INDENTURE ACT OF 1939
                 OF A CORPORATION DESIGNATED TO ACT AS TRUSTEE

CHECK IF AN APPLICATION TO DETERMINE ELIGIBILITY OF A TRUSTEE PURSUANT TO
SECTION 305(B)(2) ___

                            WILMINGTON TRUST COMPANY
              (Exact name of trustee as specified in its charter)


      Delaware                                         51-0055023
(State of incorporation)                 (I.R.S. employer identification no.)

                              Rodney Square North
                            1100 North Market Street
                          Wilmington, Delaware  19890
                    (Address of principal executive offices)

                               Cynthia L. Corliss
                        Vice President and Trust Counsel
                            Wilmington Trust Company
                              Rodney Square North
                          Wilmington, Delaware  19890
                                 (302) 651-8516
           (Name, address and telephone number of agent for service)

                              GREATER BAY BANCORP
                                 GBB CAPITAL II

              (Exact name of obligor as specified in its charter)

        California                                       77-0387041
        Delaware                                         94-6724722
(State of incorporation)                    (I.R.S. employer identification no.)
 
      2860 West Bayshore Road
       Palo Alto, California                                94303
(Address of principal executive offices)                  (Zip Code)


                 Exchange Capital Securities of GBB Capital II
                      (Title of the indenture securities)
- ------------------------------------------------------------------------------
- ------------------------------------------------------------------------------
<PAGE>
 
ITEM 1.    GENERAL INFORMATION.

           Furnish the following information as to the trustee:

      (a)  Name and address of each examining or supervising authority
           to which it is subject.

           Federal Deposit Insurance Co.      State Bank Commissioner
           Five Penn Center                   Dover, Delaware
           Suite #2901
           Philadelphia, PA

      (b)  Whether it is authorized to exercise corporate trust powers.

           The trustee is authorized to exercise corporate trust powers.

ITEM 2.  AFFILIATIONS WITH THE OBLIGOR.

           If the obligor is an affiliate of the trustee, describe each
      affiliation:

           Based upon an examination of the books and records of the trustee and
      upon information furnished by the obligor, the obligor is not an affiliate
      of the trustee.

ITEM 3.  LIST OF EXHIBITS.

           List below all exhibits filed as part of this Statement of
      Eligibility and Qualification.

      A.   Copy of the Charter of Wilmington Trust Company, which includes the
           certificate of authority of Wilmington Trust Company to commence
           business and the authorization of Wilmington Trust Company to
           exercise corporate trust powers.
      B.   Copy of By-Laws of Wilmington Trust Company.
      C.   Consent of Wilmington Trust Company required by Section 321(b) of
           Trust Indenture Act.
      D.   Copy of most recent Report of Condition of Wilmington Trust Company.

      Pursuant to the requirements of the Trust Indenture Act of 1939, as
amended, the trustee, Wilmington Trust Company, a corporation organized and
existing under the laws of Delaware, has duly caused this Statement of
Eligibility to be signed on its behalf by the undersigned, thereunto duly
authorized, all in the City of Wilmington and State of Delaware on the 17th day
of September, 1998.

                                         WILMINGTON TRUST COMPANY
[SEAL]
 
Attest: /s/ W. Chris Sponenberg          By: /s/ James P. Lawler
       -----------------------------        ---------------------
       Assistant Secretary                  Name:  James P. Lawler
                                            Title:  Vice President

                                       2
<PAGE>
 
                                   EXHIBIT A

                                AMENDED CHARTER

                            WILMINGTON TRUST COMPANY

                              WILMINGTON, DELAWARE

                           AS EXISTING ON MAY 9, 1987
<PAGE>
 
                                AMENDED CHARTER

                                       OR

                              ACT OF INCORPORATION

                                       OF

                            WILMINGTON TRUST COMPANY

      WILMINGTON TRUST COMPANY, originally incorporated by an Act of the General
Assembly of the State of Delaware, entitled "An Act to Incorporate the Delaware
Guarantee and Trust Company", approved March 2, A.D. 1901, and the name of which
company was changed to "WILMINGTON TRUST COMPANY" by an amendment filed in the
Office of the Secretary of State on March 18, A.D. 1903, and the Charter or Act
of Incorporation of which company has been from time to time amended and changed
by merger agreements pursuant to the corporation law for state banks and trust
companies of the State of Delaware, does hereby alter and amend its Charter or
Act of Incorporation so that the same as so altered and amended shall in its
entirety read as follows:

      FIRST: - The name of this corporation is WILMINGTON TRUST COMPANY.

      SECOND: - The location of its principal office in the State of Delaware is
      at Rodney Square North, in the City of Wilmington, County of New Castle;
      the name of its resident agent is WILMINGTON TRUST COMPANY whose address
      is Rodney Square North, in said City.  In addition to such principal
      office, the said corporation maintains and operates branch offices in the
      City of Newark, New Castle County, Delaware, the Town of Newport, New
      Castle County, Delaware, at Claymont, New Castle County, Delaware, at
      Greenville, New Castle County Delaware, and at Milford Cross Roads, New
      Castle County, Delaware, and shall be empowered to open, maintain and
      operate branch offices at Ninth and Shipley Streets, 418 Delaware Avenue,
      2120 Market Street, and 3605 Market Street, all in the City of Wilmington,
      New Castle County, Delaware, and such other branch offices or places of
      business as may be authorized from time to time by the agency or agencies
      of the government of the State of Delaware empowered to confer such
      authority.

      THIRD: - (a) The nature of the business and the objects and purposes
      proposed to be transacted, promoted or carried on by this Corporation are
      to do any or all of the things herein mentioned as fully and to the same
      extent as natural persons might or could do and in any part of the world,
      viz.:

           (1)  To sue and be sued, complain and defend in any Court of law or
           equity and to make and use a common seal, and alter the seal at
           pleasure, to hold, purchase, convey, mortgage or otherwise deal in
           real and personal estate and property, and to appoint such officers
           and agents as the business of the
<PAGE>
 
           Corporation shall require, to make by-laws not inconsistent with the
           Constitution or laws of the United States or of this State, to
           discount bills, notes or other evidences of debt, to receive deposits
           of money, or securities for money, to buy gold and silver bullion and
           foreign coins, to buy and sell bills of exchange, and generally to
           use, exercise and enjoy all the powers, rights, privileges and
           franchises incident to a corporation which are proper or necessary
           for the transaction of the business of the Corporation hereby
           created.

           (2)  To insure titles to real and personal property, or any estate or
           interests therein, and to guarantee the holder of such property, real
           or personal, against any claim or claims, adverse to his interest
           therein, and to prepare and give certificates of title for any lands
           or premises in the State of Delaware, or elsewhere.

           (3)  To act as factor, agent, broker or attorney in the receipt,
           collection, custody, investment and management of funds, and the
           purchase, sale, management and disposal of property of all
           descriptions, and to prepare and execute all papers which may be
           necessary or proper in such business.

           (4)  To prepare and draw agreements, contracts, deeds, leases,
           conveyances, mortgages, bonds and legal papers of every description,
           and to carry on the business of conveyancing in all its branches.

           (5)  To receive upon deposit for safekeeping money, jewelry, plate,
           deeds, bonds and any and all other personal property of every sort
           and kind, from executors, administrators, guardians, public officers,
           courts, receivers, assignees, trustees, and from all fiduciaries, and
           from all other persons and individuals, and from all corporations
           whether state, municipal, corporate or private, and to rent boxes,
           safes, vaults and other receptacles for such property.

           (6)  To act as agent or otherwise for the purpose of registering,
           issuing, certificating, countersigning, transferring or underwriting
           the stock, bonds or other obligations of any corporation,
           association, state or municipality, and may receive and manage any
           sinking fund therefor on such terms as may be agreed upon between the
           two parties, and in like manner may act as Treasurer of any
           corporation or municipality.

           (7)  To act as Trustee under any deed of trust, mortgage, bond or
           other instrument issued by any state, municipality, body politic,
           corporation, association or person, either alone or in conjunction
           with any other person or persons, corporation or corporations.

                                       2
<PAGE>
 
           (8)  To guarantee the validity, performance or effect of any contract
           or agreement, and the fidelity of persons holding places of
           responsibility or trust; to become surety for any person, or persons,
           for the faithful performance of any trust, office, duty, contract or
           agreement, either by itself or in conjunction with any other person,
           or persons, corporation, or corporations, or in like manner become
           surety upon any bond, recognizance, obligation, judgment, suit,
           order, or decree to be entered in any court of record within the
           State of Delaware or elsewhere, or which may now or hereafter be
           required by any law, judge, officer or court in the State of Delaware
           or elsewhere.

           (9)  To act by any and every method of appointment as trustee,
           trustee in bankruptcy, receiver, assignee, assignee in bankruptcy,
           executor, administrator, guardian, bailee, or in any other trust
           capacity in the receiving, holding, managing, and disposing of any
           and all estates and property, real, personal or mixed, and to be
           appointed as such trustee, trustee in bankruptcy, receiver, assignee,
           assignee in bankruptcy, executor, administrator, guardian or bailee
           by any persons, corporations, court, officer, or authority, in the
           State of Delaware or elsewhere; and whenever this Corporation is so
           appointed by any person, corporation, court, officer or authority
           such trustee, trustee in bankruptcy, receiver, assignee, assignee in
           bankruptcy, executor, administrator, guardian, bailee, or in any
           other trust capacity, it shall not be required to give bond with
           surety, but its capital stock shall be taken and held as security for
           the performance of the duties devolving upon it by such appointment.

           (10)  And for its care, management and trouble, and the exercise of
           any of its powers hereby given, or for the performance of any of the
           duties which it may undertake or be called upon to perform, or for
           the assumption of any responsibility the said Corporation may be
           entitled to receive a proper compensation.

           (11)  To purchase, receive, hold and own bonds, mortgages,
           debentures, shares of capital stock, and other securities,
           obligations, contracts and evidences of indebtedness, of any private,
           public or municipal corporation within and without the State of
           Delaware, or of the Government of the United States, or of any state,
           territory, colony, or possession thereof, or of any foreign
           government or country; to receive, collect, receipt for, and dispose
           of interest, dividends and income upon and from any of the bonds,
           mortgages, debentures, notes, shares of capital stock, securities,
           obligations, contracts, evidences of indebtedness and other property
           held and owned by it, and to exercise in respect of all such bonds,
           mortgages, debentures, notes, shares of capital stock, securities,
           obligations, contracts, evidences of indebtedness and other property,
           any and all the rights, powers and privileges of individual

                                       3
<PAGE>
 
           owners thereof, including the right to vote thereon; to invest and
           deal in and with any of the moneys of the Corporation upon such
           securities and in such manner as it may think fit and proper, and
           from time to time to vary or realize such investments; to issue bonds
           and secure the same by pledges or deeds of trust or mortgages of or
           upon the whole or any part of the property held or owned by the
           Corporation, and to sell and pledge such bonds, as and when the Board
           of Directors shall determine, and in the promotion of its said
           corporate business of investment and to the extent authorized by law,
           to lease, purchase, hold, sell, assign, transfer, pledge, mortgage
           and convey real and personal property of any name and nature and any
           estate or interest therein.

      (b)  In furtherance of, and not in limitation, of the powers conferred by
      the laws of the State of Delaware, it is hereby expressly provided that
      the said Corporation shall also have the following powers:

           (1)  To do any or all of the things herein set forth, to the same
           extent as natural persons might or could do, and in any part of the
           world.

           (2)  To acquire the good will, rights, property and franchises and to
           undertake the whole or any part of  the assets and liabilities of any
           person, firm, association or corporation, and to pay for the same in
           cash, stock of this Corporation, bonds or otherwise; to hold or in
           any manner to dispose of the whole or any part of the property so
           purchased; to conduct in any lawful manner the whole or any part of
           any business so acquired, and to exercise all the powers necessary or
           convenient in and about the conduct and management of such business.

           (3)  To take, hold, own, deal in, mortgage or otherwise lien, and to
           lease, sell, exchange, transfer, or in any manner whatever dispose of
           property, real, personal or mixed, wherever situated.

           (4)  To enter into, make, perform and carry out contracts of every
           kind with any person, firm, association or corporation, and, without
           limit as to amount, to draw, make, accept, endorse, discount,
           execute and issue promissory notes, drafts, bills of exchange,
           warrants, bonds, debentures, and other negotiable or transferable
           instruments.

           (5)  To have one or more offices, to carry on all or any of its
           operations and businesses, without restriction to the same extent as
           natural persons might or could do, to purchase or otherwise acquire,
           to hold, own, to mortgage, sell, convey or otherwise dispose of, real
           and personal property, of every class and description, in any State,
           District, Territory or Colony of the United States, and in any
           foreign country or place.

                                       4
<PAGE>
 
           (6)  It is the intention that the objects, purposes and powers
           specified and clauses contained in this paragraph shall (except where
           otherwise expressed in said paragraph) be nowise limited or
           restricted by reference to or inference from the terms of any other
           clause of this or any other paragraph in this charter, but that the
           objects, purposes and powers specified in each of the clauses of this
           paragraph shall be regarded as independent objects, purposes and
           powers.

      FOURTH: - (a)  The total number of shares of all classes of stock which
      the Corporation shall have authority to issue is forty-one million
      (41,000,000) shares, consisting of:

           (1)  One million (1,000,000) shares of Preferred stock, par value
           $10.00 per share (hereinafter referred to as "Preferred Stock"); and

           (2)  Forty million (40,000,000) shares of Common Stock, par value
           $1.00 per share (hereinafter referred to as "Common Stock").

      (b)  Shares of Preferred Stock may be issued from time to time in one or
      more series as may from time to time be determined by the Board of
      Directors each of said series to be distinctly designated.  All shares of
      any one series of Preferred Stock shall be alike in every particular,
      except that there may be different dates from which dividends, if any,
      thereon shall be cumulative, if made cumulative.  The voting powers and
      the preferences and relative, participating, optional and other special
      rights of each such series, and the qualifications, limitations or
      restrictions thereof, if any, may differ from those of any and all other
      series at any time outstanding; and, subject to the provisions of
      subparagraph 1 of Paragraph (c) of this Article FOURTH, the Board of
      Directors of the Corporation is hereby expressly granted authority to fix
      by resolution or resolutions adopted prior to the issuance of any shares
      of a particular series of Preferred Stock, the voting powers and the
      designations, preferences and relative, optional and other special rights,
      and the qualifications, limitations and restrictions of such series,
      including, but without limiting the generality of the foregoing, the
      following:

           (1)  The distinctive designation of, and the number of shares of
           Preferred Stock which shall constitute such series, which number may
           be increased (except where otherwise provided by the Board of
           Directors) or decreased (but not below the number of shares thereof
           then outstanding) from time to time by like action of the Board of
           Directors;

           (2)  The rate and times at which, and the terms and conditions on
           which, dividends, if any, on Preferred Stock of such series shall be
           paid, the extent of the preference or relation, if any, of such
           dividends to the dividends payable 

                                       5
<PAGE>
 
           on any other class or classes, or series of the same or other class
           ofstock and whether such dividends shall be cumulative or non-
           cumulative;

           (3)  The right, if any, of the holders of Preferred Stock of such
           series to convert the same into or exchange the same for, shares of
           any other class or classes or of any series of the same or any other
           class or classes of stock of the Corporation and the terms and
           conditions of such conversion or exchange;

           (4)  Whether or not Preferred Stock of such series shall be subject
           to redemption, and the redemption price or prices and the time or
           times at which, and the terms and conditions on which, Preferred
           Stock of such series may be redeemed.

           (5)  The rights, if any, of the holders of Preferred Stock of such
           series upon the voluntary or involuntary liquidation, merger,
           consolidation, distribution or sale of assets, dissolution or
           winding-up, of the Corporation.

           (6)  The terms of the sinking fund or redemption or purchase account,
           if any, to be provided for the Preferred Stock of such series; and

           (7)  The voting powers, if any, of the holders of such series of
           Preferred Stock which may, without limiting the generality of the
           foregoing include the right, voting as a series or by itself or
           together with other series of Preferred Stock or all series of
           Preferred Stock as a class, to elect one or more directors of the
           Corporation if there shall have been a default in the payment of
           dividends on any one or more series of Preferred Stock or under such
           circumstances and on such conditions as the Board of Directors may
           determine.

      (c)  (1)  After the requirements with respect to preferential dividends on
      the Preferred Stock (fixed in accordance with the provisions of section
      (b) of this Article FOURTH), if any, shall have been met and after the
      Corporation shall have complied with all the requirements, if any, with
      respect to the setting aside of sums as sinking funds or redemption or
      purchase accounts (fixed in accordance with the provisions of section (b)
      of this Article FOURTH), and subject further to any conditions which may
      be fixed in accordance with the provisions of section (b) of this Article
      FOURTH, then and not otherwise the holders of Common Stock shall be
      entitled to receive such dividends as may be declared from time to time by
      the Board of Directors.

           (2)  After distribution in full of the preferential amount, if any,
           (fixed in accordance with the provisions of section (b) of this
           Article FOURTH), to be distributed to the holders of Preferred Stock
           in the event of voluntary or involuntary liquidation, distribution or
           sale of assets, dissolution or winding-up, of the Corporation, the
           holders of the Common Stock shall be entitled to

                                       6
<PAGE>
 
           receive all of the remaining assets of the Corporation, tangible and
           intangible, of whatever kind available for distribution to
           stockholders ratably in proportion to the number of shares of Common
           Stock held by them respectively.

           (3)  Except as may otherwise be required by law or by the provisions
           of such resolution or resolutions as may be adopted by the Board of
           Directors pursuant to section (b) of this Article FOURTH, each holder
           of Common Stock shall have one vote in respect of each share of
           Common Stock held on all matters voted upon by the stockholders.

      (d)  No holder of any of the shares of any class or series of stock or of
      options, warrants or other rights to purchase shares of any class or
      series of stock or of other securities of the Corporation shall have any
      preemptive right to purchase or subscribe for any unissued stock of any
      class or series or any additional shares of any class or series to be
      issued by reason of any increase of the authorized capital stock of the
      Corporation of any class or series, or bonds, certificates of
      indebtedness, debentures or other securities convertible into or
      exchangeable for stock of the Corporation of any class or series, or
      carrying any right to purchase stock of any class or series, but any such
      unissued stock, additional authorized issue of shares of any class or
      series of stock or securities convertible into or exchangeable for stock,
      or carrying any right to purchase stock, may be issued and disposed of
      pursuant to resolution of the Board of Directors to such persons, firms,
      corporations or associations, whether such holders or others, and upon
      such terms as may be deemed advisable by the Board of Directors in the
      exercise of its sole discretion.

      (e)  The relative powers, preferences and rights of each series of
      Preferred Stock in relation to the relative powers, preferences and rights
      of each other series of Preferred Stock shall, in each case, be as fixed
      from time to time by the Board of Directors in the resolution or
      resolutions adopted pursuant to authority granted in section (b) of this
      Article FOURTH and the consent, by class or series vote or otherwise, of
      the holders of such of the series of Preferred Stock as are from time to
      time outstanding shall not be required for the issuance by the Board of
      Directors of any other series of Preferred Stock whether or not the
      powers, preferences and rights of such other series shall be fixed by the
      Board of Directors as senior to, or on a parity with, the powers,
      preferences and rights of such outstanding series, or any of them;
      provided, however, that the Board of Directors may provide in the
      resolution or resolutions as to any series of Preferred Stock adopted
      pursuant to section (b) of this Article FOURTH that the consent of the
      holders of a majority (or such greater proportion as shall be therein
      fixed) of the outstanding shares of such series voting thereon shall be
      required for the issuance of any or all other series of Preferred Stock.

                                       7
<PAGE>
 
      (f)  Subject to the provisions of section (e), shares of any series of
      Preferred Stock may be issued from time to time as the Board of Directors
      of the Corporation shall determine and on such terms and for such
      consideration as shall be fixed by the Board of Directors.

      (g)  Shares of Common Stock may be issued from time to time as the Board
      of Directors of the Corporation shall determine and on such terms and for
      such consideration as shall be fixed by the Board of Directors.

      (h)  The authorized amount of shares of Common Stock and of Preferred
      Stock may, without a class or series vote, be increased or decreased from
      time to time by the affirmative vote of the holders of a majority of the
      stock of the Corporation entitled to vote thereon.

      FIFTH: - (a)  The business and affairs of the Corporation shall be
      conducted and managed by a Board of Directors.  The number of directors
      constituting the entire Board shall be not less than five nor more than
      twenty-five as fixed from time to time by vote of a majority of the whole
      Board, provided, however, that the number of directors shall not be
      reduced so as to shorten the term of any director at the time in office,
      and provided further, that the number of directors constituting the whole
      Board shall be twenty-four until otherwise fixed by a majority of the
      whole Board.

      (b)  The Board of Directors shall be divided into three classes, as nearly
      equal in number as the then total number of directors constituting the
      whole Board permits, with the term of office of one class expiring each
      year.  At the annual meeting of stockholders in 1982, directors of the
      first class shall be elected to hold office for a term expiring at the
      next succeeding annual meeting, directors of the second class shall be
      elected to hold office for a term expiring at the second succeeding annual
      meeting and directors of the third class shall be elected to hold office
      for a term expiring at the third succeeding annual meeting.  Any vacancies
      in the Board of Directors for any reason, and any newly created
      directorships resulting from any increase in the directors, may be filled
      by the Board of Directors, acting by a majority of the directors then in
      office, although less than a quorum, and any directors so chosen shall
      hold office until the next annual election of directors.  At such
      election, the stockholders shall elect a successor to such director to
      hold office until the next election of the class for which such director
      shall have been chosen and until his successor shall be elected and
      qualified.  No decrease in the number of directors shall shorten the term
      of any incumbent director.

      (c)  Notwithstanding any other provisions of this Charter or Act of
      Incorporation or the By-Laws of the Corporation (and notwithstanding the
      fact that some lesser percentage may be specified by law, this Charter or
      Act of Incorporation or the By-Laws of the Corporation), any director or
      the entire Board of Directors of the

                                       8
<PAGE>
 
      Corporation may be removed at any time without cause, but only by the
      affirmative vote of the holders of two-thirds or more of the outstanding
      shares of capital stock of the Corporation entitled to vote generally in
      the election of directors (considered for this purpose as one class) cast
      at a meeting of the stockholders called for that purpose.

      (d)  Nominations for the election of directors may be made by the Board of
      Directors or by any stockholder entitled to vote for the election of
      directors.  Such nominations shall be made by notice in writing, delivered
      or mailed by first class United States mail, postage prepaid, to the
      Secretary of the Corporation not less than 14 days nor more than 50 days
      prior to any meeting of the stockholders called for the election of
      directors; provided, however, that if less than 21 days' notice of the
      meeting is given to stockholders, such written notice shall be delivered
      or mailed, as prescribed, to the Secretary of the Corporation not later
      than the close of the seventh day following the day on which notice of the
      meeting was mailed to stockholders.  Notice of nominations which are
      proposed by the Board of Directors shall be given by the Chairman on
      behalf of the Board.

      (e)  Each notice under subsection (d) shall set forth (i) the name, age,
      business address and, if known, residence address of each nominee proposed
      in such notice, (ii) the principal occupation or employment of such
      nominee and (iii) the number of shares of stock of the Corporation which
      are beneficially owned by each such nominee.

      (f)  The Chairman of the meeting may, if the facts warrant, determine and
      declare to the meeting that a nomination was not made in accordance with
      the foregoing procedure, and if he should so determine, he shall so
      declare to the meeting and the defective nomination shall be disregarded.

      (g)  No action required to be taken or which may be taken at any annual or
      special meeting of stockholders of the Corporation may be taken without a
      meeting, and the power of stockholders to consent in writing, without a
      meeting, to the taking of any action is specifically denied.

      SIXTH: - The Directors shall choose such officers, agent and servants as
      may be provided in the By-Laws as they may from time to time find
      necessary or proper.

      SEVENTH: - The Corporation hereby created is hereby given the same powers,
      rights and privileges as may be conferred upon corporations organized
      under the Act entitled "An Act Providing a General Corporation Law",
      approved March 10, 1899, as from time to time amended.

      EIGHTH: - This Act shall be deemed and taken to be a private Act.

                                       9
<PAGE>
 
      NINTH: - This Corporation is to have perpetual existence.

      TENTH: - The Board of Directors, by resolution passed by a majority of the
      whole Board, may designate any of their number to constitute an Executive
      Committee, which Committee, to the extent provided in said resolution, or
      in the By-Laws of the Company, shall have and may exercise all of the
      powers of the Board of Directors in the management of the business and
      affairs of the Corporation, and shall have power to authorize the seal of
      the Corporation to be affixed to all papers which may require it.

      ELEVENTH: - The private property of the stockholders shall not be liable
      for the payment of corporate debts to any extent whatever.

      TWELFTH: - The Corporation may transact business in any part of the world.

      THIRTEENTH: - The Board of Directors of the Corporation is expressly
      authorized to make, alter or repeal the By-Laws of the Corporation by a
      vote of the majority of the entire Board.  The stockholders may make,
      alter or repeal any By-Law whether or not adopted by them, provided
      however, that any such additional By-Laws, alterations or repeal may be
      adopted only by the affirmative vote of the holders of two-thirds or more
      of the outstanding shares of capital stock of the Corporation entitled to
      vote generally in the election of directors (considered for this purpose
      as one class).

      FOURTEENTH: - Meetings of the Directors may be held outside of the State
      of Delaware at such places as may be from time to time designated by the
      Board, and the Directors may keep the books of the Company outside of the
      State of Delaware at such places as may be from time to time designated by
      them.

      FIFTEENTH: - (a) In addition to any affirmative vote required by law, and
      except as otherwise expressly provided in sections (b) and (c) of this
      Article FIFTEENTH:

           (A)  any merger or consolidation of the Corporation or any Subsidiary
           (as hereinafter defined) with or into (i) any Interested Stockholder
           (as hereinafter defined) or (ii) any other corporation (whether or
           not itself an Interested Stockholder), which, after such merger or
           consolidation, would be an Affiliate (as hereinafter defined) of an
           Interested Stockholder, or

           (B)  any sale, lease, exchange, mortgage, pledge, transfer or other
           disposition (in one transaction or a series of related transactions)
           to or with any Interested Stockholder or any Affiliate of any
           Interested Stockholder of any assets of the Corporation or any
           Subsidiary having an aggregate fair market value of $1,000,000 or
           more, or

                                      10
<PAGE>
 
           (C)  the issuance or transfer by the Corporation or any Subsidiary
           (in one transaction or a series of related transactions) of any
           securities of the Corporation or any Subsidiary to any Interested
           Stockholder or any Affiliate of any Interested Stockholder in
           exchange for cash, securities or other property (or a combination
           thereof) having an aggregate fair market value of $1,000,000 or more,
           or

           (D)  the adoption of any plan or proposal for the liquidation or
           dissolution of the Corporation, or

           (E)  any reclassification of securities (including any reverse stock
           split), or recapitalization of the Corporation, or any merger or
           consolidation of the Corporation with any of its Subsidiaries or any
           similar transaction (whether or not with or into or otherwise
           involving an Interested Stockholder) which has the effect, directly
           or indirectly, of increasing the proportionate share of the
           outstanding shares of any class of equity or convertible securities
           of the Corporation or any Subsidiary which is directly or indirectly
           owned by any Interested Stockholder, or any Affiliate of any
           Interested Stockholder,

shall require the affirmative vote of the holders of at least  two-thirds of the
outstanding shares of capital stock of the Corporation entitled to vote
generally in the election of directors, considered for the purpose of this
Article FIFTEENTH as one class ("Voting Shares").  Such affirmative vote shall
be required notwithstanding the fact that no vote may be required, or that some
lesser percentage may be specified, by law or in any agreement with any national
securities exchange or otherwise.

            (2)  The term "business combination" as used in this Article
            FIFTEENTH shall mean any transaction which is referred to any one or
            more of clauses (A) through (E) of paragraph 1 of the section (a).

           (b)  The provisions of section (a) of this Article FIFTEENTH shall
           not be applicable to any particular business combination and such
           business combination shall require only such affirmative vote as is
           required by law and any other provisions of the Charter or Act of
           Incorporation of By-Laws if such business combination has been
           approved by a majority of the whole Board.

           (c)  For the purposes of this Article FIFTEENTH:

      (1)  A "person" shall mean any individual firm, corporation or other
      entity.

      (2)  "Interested Stockholder" shall mean, in respect of any business
      combination, any person (other than the Corporation or any Subsidiary) who
      or which as of the record date for the determination of stockholders
      entitled to notice of and to vote on such

                                      11
<PAGE>
 
      business combination, or immediately prior to the consummation of any such
      transaction:

           (A)  is the beneficial owner, directly or indirectly, of more than
           10% of the Voting Shares, or

           (B)  is an Affiliate of the Corporation and at any time within two
           years prior thereto was the beneficial owner, directly or indirectly,
           of not less than 10% of the then outstanding voting Shares, or

           (C)  is an assignee of or has otherwise succeeded in any share of
           capital stock of the Corporation which were at any time within two
           years prior thereto beneficially owned by any Interested Stockholder,
           and such assignment or succession shall have occurred in the course
           of a transaction or series of transactions not involving a public
           offering within the meaning of the Securities Act of 1933.

      (3)  A person shall be the "beneficial owner" of any Voting Shares:

           (A)  which such person or any of its Affiliates and Associates (as
           hereafter defined) beneficially own, directly or indirectly, or

           (B)  which such person or any of its Affiliates or Associates has (i)
           the right to acquire (whether such right is exercisable immediately
           or only after the passage of time), pursuant to any agreement,
           arrangement or understanding or upon the exercise of conversion
           rights, exchange rights, warrants or options, or otherwise, or (ii)
           the right to vote pursuant to any agreement, arrangement or
           understanding, or

           (C)  which are beneficially owned, directly or indirectly, by any
           other person with which such first mentioned person or any of its
           Affiliates or Associates has any agreement, arrangement or
           understanding for the purpose of acquiring, holding, voting or
           disposing of any shares of capital stock of the Corporation.

      (4)  The outstanding Voting Shares shall include shares deemed owned
      through application of paragraph (3) above but shall not include any other
      Voting Shares which may be issuable pursuant to any agreement, or upon
      exercise of conversion rights, warrants or options or otherwise.

      (5)  "Affiliate" and "Associate" shall have the respective meanings given
      those terms in Rule 12b-2 of the General Rules and Regulations under the
      Securities Exchange Act of 1934, as in effect on December 31, 1981.

                                      12
<PAGE>
 
      (6)  "Subsidiary" shall mean any corporation of which a majority of any
      class of equity security (as defined in Rule 3a11-1 of the General Rules
      and Regulations under the Securities Exchange Act of 1934, as in effect in
      December 31, 1981) is owned, directly or indirectly, by the Corporation;
      provided, however, that for the purposes of the definition of Investment
      Stockholder set forth in paragraph (2) of this section (c), the term
      "Subsidiary" shall mean only a corporation of which a majority of each
      class of equity security is owned, directly or indirectly, by the
      Corporation.

           (d)  majority of the directors shall have the power and duty to
           determine for the purposes of this Article FIFTEENTH on the basis of
           information known to them, (1) the number of Voting Shares
           beneficially owned by any person (2) whether a person is an Affiliate
           or Associate of another, (3) whether a person has an agreement,
           arrangement or understanding with another as to the matters referred
           to in paragraph (3) of section (c), or (4) whether the assets subject
           to any business combination or the consideration received for the
           issuance or transfer of securities by the Corporation, or any
           Subsidiary has an aggregate fair market value of $1,000,000 or more.

           (e)  Nothing contained in this Article FIFTEENTH shall be construed
           to relieve any Interested Stockholder from any fiduciary obligation
           imposed by law.

      SIXTEENTH:   Notwithstanding any other provision of this Charter or Act of
      Incorporation or the By-Laws of the Corporation (and in addition to any
      other vote that may be required by law, this Charter or Act of
      Incorporation by the By-Laws), the affirmative vote of the holders of at
      least two-thirds of the outstanding shares of the capital stock of the
      Corporation entitled to vote generally in the election of directors
      (considered for this purpose as one class) shall be required to amend,
      alter or repeal any provision of Articles FIFTH, THIRTEENTH, FIFTEENTH or
      SIXTEENTH of this Charter or Act of Incorporation.

      SEVENTEENTH: (a)  a Director of this Corporation shall not be liable to
      the Corporation or its stockholders for monetary damages for breach of
      fiduciary duty as a Director, except to the extent such exemption from
      liability or limitation thereof is not permitted under the Delaware
      General Corporation Laws as the same exists or may hereafter be amended.

           (b)  Any repeal or modification of the foregoing paragraph shall not
           adversely affect any right or protection of a Director of the
           Corporation existing hereunder with respect to any act or omission
           occurring prior to the time of such repeal or modification."

                                      13
<PAGE>
 
                                   EXHIBIT B

                                    BY-LAWS


                           WILMINGTON TRUST COMPANY

                             WILMINGTON, DELAWARE

                        AS EXISTING ON JANUARY 16, 1997
<PAGE>
 
                      BY-LAWS OF WILMINGTON TRUST COMPANY


                                   ARTICLE I
                            STOCKHOLDERS' MEETINGS

     Section 1.   The Annual Meeting of Stockholders shall be held on the third
Thursday in April each year at the principal office at the Company or at such
other date, time, or place as may be designated by resolution by the Board of
Directors.

     Section 2.   Special meetings of all stockholders may be called at any time
by the Board of Directors, the Chairman of the Board or the President.

     Section 3.   Notice of all meetings of the stockholders shall be given by
mailing to each stockholder at least ten (10) days before said meeting, at his
last known address, a written or printed notice fixing the time and place of
such meeting.

     Section 4.   A majority in the amount of the capital stock of the Company
issued and outstanding on the record date, as herein determined, shall
constitute a quorum at all meetings of stockholders for the transaction of any
business, but the holders of a small number of shares may adjourn, from time to
time, without further notice, until a quorum is secured. At each annual or
special meeting of stockholders, each stockholder shall be entitled to one vote,
either in person or by proxy, for each shares of stock registered in the
stockholder's name on the books of the Company on the record date for any such
meeting as determined herein.


                                  ARTICLE II
                                   DIRECTORS

     Section 1.   The number and classification of the Board of Directors shall
be as set forth in the Charter of the Bank.

     Section 2.   No person who has attained the age of seventy-two (72) years
shall be nominated for election to the Board of Directors of the Company,
provided, however, that this limitation shall not apply to any person who was
serving as director of the Company on September 16, 1971.

     Section 3.   The class of Directors so elected shall hold office for three
years or until their successors are elected and qualified.

     Section 4.   The affairs and business of the Company shall be managed and
conducted by the Board of Directors.
<PAGE>
 
     Section 5.   The Board of Directors shall meet at the principal office of
the Company or elsewhere in its discretion at such times to be determined by a
majority of its members, or at the call of the Chairman of the Board of
Directors or the President.

     Section 6.   Special meetings of the Board of Directors may be called at
any time by the Chairman of the Board of Directors or by the President, and
shall be called upon the written request of a majority of the directors.

     Section 7.   A majority of the directors elected and qualified shall be
necessary to constitute a quorum for the transaction of business at any meeting
of the Board of Directors.

     Section 8.   Written notice shall be sent by mail to each director of any
special meeting of the Board of Directors, and of any change in the time or
place of any regular meeting, stating the time and place of such meeting, which
shall be mailed not less than two days before the time of holding such meeting.

     Section 9.   In the event of the death, resignation, removal, inability to
act, or disqualification of any director, the Board of Directors, although less
than a quorum, shall have the right to elect the successor who shall hold office
for the remainder of the full term of the class of directors in which the
vacancy occurred, and until such director's successor shall have been duly
elected and qualified.

     Section 10.  The Board of Directors at its first meeting after its election
by the stockholders shall appoint an Executive Committee, a Trust Committee, an
Audit Committee and a Compensation Committee, and shall elect from its own
members a Chairman of the Board of Directors and a President who may be the same
person. The Board of Directors shall also elect at such meeting a Secretary and
a Treasurer, who may be the same person, may appoint at any time such other
committees and elect or appoint such other officers as it may deem advisable.
The Board of Directors may also elect at such meeting one or more Associate
Directors.

     Section 11.  The Board of Directors may at any time remove, with or without
cause, any member of any Committee appointed by it or any associate director or
officer elected by it and may appoint or elect his successor.

     Section 12.  The Board of Directors may designate an officer to be in
charge of such of the departments or division of the Company as it may deem
advisable.

                                       2
<PAGE>
 
                                  ARTICLE III
                                  COMMITTEES

     Section 1.   Executive Committee

                  (A)  The Executive Committee shall be composed of not more
than nine members who shall be selected by the Board of Directors from its own
members and who shall hold office during the pleasure of the Board.

                  (B)  The Executive Committee shall have all the powers of the
Board of Directors when it is not in session to transact all business for and in
behalf of the Company that may be brought before it.

                  (C)  The Executive Committee shall meet at the principal
office of the Company or elsewhere in its discretion at such times to be
determined by a majority of its members, or at the call of the Chairman of the
Executive Committee or at the call of the Chairman of the Board of Directors.
The majority of its members shall be necessary to constitute a quorum for the
transaction of business. Special meetings of the Executive Committee may be held
at any time when a quorum is present.

                  (D)  Minutes of each meeting of the Executive Committee shall
be kept and submitted to the Board of Directors at its next meeting.

                  (E)  The Executive Committee shall advise and superintend all
investments that may be made of the funds of the Company, and shall direct the
disposal of the same, in accordance with such rules and regulations as the Board
of Directors from time to time make.

                  (F)  In the event of a state of disaster of sufficient
severity to prevent the conduct and management of the affairs and business of
the Company by its directors and officers as contemplated by these By-Laws any
two available members of the Executive Committee as constituted immediately
prior to such disaster shall constitute a quorum of that Committee for the full
conduct and management of the affairs and business of the Company in accordance
with the provisions of Article III of these By-Laws; and if less than three
members of the Trust Committee is constituted immediately prior to such disaster
shall be available for the transaction of its business, such Executive Committee
shall also be empowered to exercise all of the powers reserved to the Trust
Committee under Article III Section 2 hereof. In the event of the
unavailability, at such time, of a minimum of two members of such Executive
Committee, any three available directors shall constitute the Executive
Committee for the full conduct and management of the affairs and business of the
Company in accordance with the foregoing provisions of this Section. This By-Law
shall be subject to implementation by Resolutions of the Board of Directors
presently existing or hereafter passed from time to time for that purpose, and
any provisions of these By-Laws (other than this Section) and any resolutions
which are contrary to the provisions of this Section or to the provisions of any
such

                                       3
<PAGE>
 
implementary Resolutions shall be suspended during such a disaster period until
it shall be determined by any interim Executive Committee acting under this
section that it shall be to the advantage of the Company to resume the conduct
and management of its affairs and business under all of the other provisions of
these By-Laws.

     Section 2.   Trust Committee
 
                  (A)  The Trust Committee shall be composed of not more than
thirteen members who shall be selected by the Board of Directors, a majority of
whom shall be members of the Board of Directors and who shall hold office during
the pleasure of the Board.

                  (B)  The Trust Committee shall have general supervision over
the Trust Department and the investment of trust funds, in all matters, however,
being subject to the approval of the Board of Directors.

                  (C)  The Trust Committee shall meet at the principal office of
the Company or elsewhere in its discretion at such times to be determined by a
majority of its members or at the call of its chairman. A majority of its
members shall be necessary to constitute a quorum for the transaction of
business.

                  (D)  Minutes of each meeting of the Trust Committee shall be
kept and promptly submitted to the Board of Directors.
 
                  (E)  The Trust Committee shall have the power to appoint
Committees and/or designate officers or employees of the Company to whom
supervision over the investment of trust funds may be delegated when the Trust
Committee is not in session.

     Section 3.   Audit Committee

                  (A)  The Audit Committee shall be composed of five members who
shall be selected by the Board of Directors from its own members, none of whom
shall be an officer of the Company, and shall hold office at the pleasure of the
Board.

                  (B)  The Audit Committee shall have general supervision over
the Audit Division in all matters however subject to the approval of the Board
of Directors; it shall consider all matters brought to its attention by the
officer in charge of the Audit Division, review all reports of examination of
the Company made by any governmental agency or such independent auditor employed
for that purpose, and make such recommendations to the Board of Directors with
respect thereto or with respect to any other matters pertaining to auditing the
Company as it shall deem desirable.

                                       4
<PAGE>
 
                  (C)  The Audit Committee shall meet whenever and wherever the
majority of its members shall deem it to be proper for the transaction of its
business, and a majority of its Committee shall constitute a quorum.

     Section 4.   Compensation Committee

                  (A)  The Compensation Committee shall be composed of not more
than five (5) members who shall be selected by the Board of Directors from its
own members who are not officers of the Company and who shall hold office during
the pleasure of the Board.

                  (B)  The Compensation Committee shall in general advise upon
all matters of policy concerning the Company brought to its attention by the
management and from time to time review the management of the Company, major
organizational matters, including salaries and employee benefits and
specifically shall administer the Executive Incentive Compensation Plan.

                  (C)  Meetings of the Compensation Committee may be called at
any time by the Chairman of the Compensation Committee, the Chairman of the
Board of Directors, or the President of the Company.

     Section 5.   Associate Directors

                  (A)  Any person who has served as a director may be elected by
the Board of Directors as an associate director, to serve during the pleasure of
the Board.

                  (B)  An associate director shall be entitled to attend all
directors meetings and participate in the discussion of all matters brought to
the Board, with the exception that he would have no right to vote. An associate
director will be eligible for appointment to Committees of the Company, with the
exception of the Executive Committee, Audit Committee and Compensation
Committee, which must be comprised solely of active directors.

     Section 6.   Absence or Disqualification of Any Member of a Committee

                  (A)  In the absence or disqualification of any member of any
Committee created under Article III of the By-Laws of this Company, the member
or members thereof present at any meeting and not disqualified from voting,
whether or not he or they constitute a quorum, may unanimously appoint another
member of the Board of Directors to act at the meeting in the place of any such
absence or disqualified member.

                                       5
<PAGE>
 
                                  ARTICLE IV
                                   OFFICERS

     Section 1.   The Chairman of the Board of Directors shall preside at all
meetings of the Board and shall have such further authority and powers and shall
perform such duties as the Board of Directors may from time to time confer and
direct. He shall also exercise such powers and perform such duties as may from
time to time be agreed upon between himself and the President of the Company.

     Section 2.   The Vice Chairman of the Board.  The Vice Chairman of the
                  -------------------------------                          
Board of Directors shall preside at all meetings of the Board of Directors at
which the Chairman of the Board shall not be present and shall have such further
authority and powers and shall perform such duties as the Board of Directors or
the Chairman of the Board may from time to time confer and direct.

     Section 3.   The President shall have the powers and duties pertaining to
the office of the President conferred or imposed upon him by statute or assigned
to him by the Board of Directors in the absence of the Chairman of the Board the
President shall have the powers and duties of the Chairman of the Board.

     Section 4.   The Chairman of the Board of Directors or the President as
designated by the Board of Directors, shall carry into effect all legal
directions of the Executive Committee and of the Board of Directors, and shall
at all times exercise general supervision over the interest, affairs and
operations of the Company and perform all duties incident to his office.

     Section 5.   There may be one or more Vice Presidents, however denominated
by the Board of Directors, who may at any time perform all the duties of the
Chairman of the Board of Directors and/or the President and such other powers
and duties as may from time to time be assigned to them by the Board of
Directors, the Executive Committee, the Chairman of the Board or the President
and by the officer in charge of the department or division to which they are
assigned.

     Section 6.   The Secretary shall attend to the giving of notice of meetings
of the stockholders and the Board of Directors, as well as the Committees
thereof, to the keeping of accurate minutes of all such meetings and to
recording the same in the minute books of the Company. In addition to the other
notice requirements of these By-Laws and as may be practicable under the
circumstances, all such notices shall be in writing and mailed well in advance
of the scheduled date of any other meeting. He shall have custody of the
corporate seal and shall affix the same to any documents requiring such
corporate seal and to attest the same.

     Section 7.   The Treasurer shall have general supervision over all assets
and liabilities of the Company. He shall be custodian of and responsible for all
monies, funds and valuables

                                       6
<PAGE>
 
of the Company and for the keeping of proper records of the evidence of property
or indebtedness and of all the transactions of the Company. He shall have
general supervision of the expenditures of the Company and shall report to the
Board of Directors at each regular meeting of the condition of the Company, and
perform such other duties as may be assigned to him from time to time by the
Board of Directors of the Executive Committee.

     Section 8.   There may be a Controller who shall exercise general
supervision over the internal operations of the Company, including accounting,
and shall render to the Board of Directors at appropriate times a report
relating to the general condition and internal operations of the Company.

     There may be one or more subordinate accounting or controller officers
however denominated, who may perform the duties of the Controller and such
duties as may be prescribed by the Controller.

     Section 9.   The officer designated by the Board of Directors to be in
charge of the Audit Division of the Company with such title as the Board of
Directors shall prescribe, shall report to and be directly responsible only to
the Board of Directors.

     There shall be an Auditor and there may be one or more Audit Officers,
however denominated, who may perform all the duties of the Auditor and such
duties as may be prescribed by the officer in charge of the Audit Division.

     Section 10.  There may be one or more officers, subordinate in rank to all
Vice Presidents with such functional titles as shall be determined from time to
time by the Board of Directors, who shall ex officio hold the office Assistant
Secretary of this Company and who may perform such duties as may be prescribed
by the officer in charge of the department or division to whom they are
assigned.

     Section 11.  The powers and duties of all other officers of the Company
shall be those usually pertaining to their respective offices, subject to the
direction of the Board of Directors, the Executive Committee, Chairman of the
Board of Directors or the President and the officer in charge of the department
or division to which they are assigned.


                                   ARTICLE V
                         STOCK AND STOCK CERTIFICATES

     Section 1.   Shares of stock shall be transferrable on the books of the
Company and a transfer book shall be kept in which all transfers of stock shall
be recorded.

     Section 2.   Certificate of stock shall bear the signature of the President
or any Vice President, however denominated by the Board of Directors and
countersigned by the Secretary

                                       7
<PAGE>
 
or Treasurer or an Assistant Secretary, and the seal of the corporation shall be
engraved thereon. Each certificate shall recite that the stock represented
thereby is transferrable only upon the books of the Company by the holder
thereof or his attorney, upon surrender of the certificate properly endorsed.
Any certificate of stock surrendered to the Company shall be cancelled at the
time of transfer, and before a new certificate or certificates shall be issued
in lieu thereof. Duplicate certificates of stock shall be issued only upon
giving such security as may be satisfactory to the Board of Directors or the
Executive Committee.

     Section 3.   The Board of Directors of the Company is authorized to fix in
advance a record date for the determination of the stockholders entitled to
notice of, and to vote at, any meeting of stockholders and any adjournment
thereof, or entitled to receive payment of any dividend, or to any allotment or
rights, or to exercise any rights in respect of any change, conversion or
exchange of capital stock, or in connection with obtaining the consent of
stockholders for any purpose, which record date shall not be more than 60 nor
less than 10 days proceeding the date of any meeting of stockholders or the date
for the payment of any dividend, or the date for the allotment of rights, or the
date when any change or conversion or exchange of capital stock shall go into
effect, or a date in connection with obtaining such consent.


                                  ARTICLE VI
                                     SEAL

     Section 1.   The corporate seal of the Company shall be in the following
form:

                  Between two concentric circles the words
                  "Wilmington Trust Company" within the inner
                  circle the words "Wilmington, Delaware."


                                  ARTICLE VII
                                  FISCAL YEAR

     Section 1.   The fiscal year of the Company shall be the calendar year.


                                 ARTICLE VIII
                    EXECUTION OF INSTRUMENTS OF THE COMPANY

     Section 1.   The Chairman of the Board, the President or any Vice
President, however denominated by the Board of Directors, shall have full power
and authority to enter into, make, sign, execute, acknowledge and/or deliver and
the Secretary or any Assistant Secretary shall have full power and authority to
attest and affix the corporate seal of the

                                       8
<PAGE>
 
Company to any and all deeds, conveyances, assignments, releases, contracts,
agreements, bonds, notes, mortgages and all other instruments incident to the
business of this Company or in acting as executor, administrator, guardian,
trustee, agent or in any other fiduciary or representative capacity by any and
every method of appointment or by whatever person, corporation, court officer or
authority in the State of Delaware, or elsewhere, without any specific
authority, ratification, approval or confirmation by the Board of Directors or
the Executive Committee, and any and all such instruments shall have the same
force and validity as though expressly authorized by the Board of Directors
and/or the Executive Committee.


                                  ARTICLE IX
              COMPENSATION OF DIRECTORS AND MEMBERS OF COMMITTEES

     Section 1.   Directors and associate directors of the Company, other than
salaried officers of the Company, shall be paid such reasonable honoraria or
fees for attending meetings of the Board of Directors as the Board of Directors
may from time to time determine. Directors and associate directors who serve as
members of committees, other than salaried employees of the Company, shall be
paid such reasonable honoraria or fees for services as members of committees as
the Board of Directors shall from time to time determine and directors and
associate directors may be employed by the Company for such special services as
the Board of Directors may from time to time determine and shall be paid for
such special services so performed reasonable compensation as may be determined
by the Board of Directors.


                                   ARTICLE X
                                INDEMNIFICATION

     Section 1.   (A)  The Corporation shall indemnify and hold harmless, to the
fullest extent permitted by applicable law as it presently exists or may
hereafter be amended, any person who was or is made or is threatened to be made
a party or is otherwise involved in any action, suit or proceeding, whether
civil, criminal, administrative or investigative (a "proceeding") by reason of
the fact that he, or a person for whom he is the legal representative, is or was
a director, officer, employee or agent of the Corporation or is or was serving
at the request of the Corporation as a director, officer, employee, fiduciary or
agent of another corporation or of a partnership, joint venture, trust,
enterprise or non-profit entity, including service with respect to employee
benefit plans, against all liability and loss suffered and expenses reasonably
incurred by such person. The Corporation shall indemnify a person in connection
with a proceeding initiated by such person only if the proceeding was authorized
by the Board of Directors of the Corporation.

                  (B)  The Corporation shall pay the expenses incurred in
defending any proceeding in advance of its final disposition, provided, however,
                                                              --------  -------
that the payment of 

                                       9
<PAGE>
 
expenses incurred by a Director officer in his capacity as a Director or officer
in advance of the final disposition of the proceeding shall be made only upon
receipt of an undertaking by the Director or officer to repay all amounts
advanced if it should be ultimately determined that the Director or officer is
not entitled to be indemnified under this Article or otherwise.

                  (C)  If a claim for indemnification or payment of expenses,
under this Article X is not paid in full within ninety days after a written
claim therefor has been received by the Corporation the claimant may file suit
to recover the unpaid amount of such claim and, if successful in whole or in
part, shall be entitled to be paid the expense of prosecuting such claim. In any
such action the Corporation shall have the burden of proving that the claimant
was not entitled to the requested indemnification of payment of expenses under
applicable law.

                  (D)  The rights conferred on any person by this Article X
shall not be exclusive of any other rights which such person may have or
hereafter acquire under any statute, provision of the Charter or Act of
Incorporation, these By-Laws, agreement, vote of stockholders or disinterested
Directors or otherwise.

                  (E)  Any repeal or modification of the foregoing provisions of
this Article X shall not adversely affect any right or protection hereunder of
any person in respect of any act or omission occurring prior to the time of such
repeal or modification.


                                  ARTICLE XI
                           AMENDMENTS TO THE BY-LAWS

     Section 1.   These By-Laws may be altered, amended or repealed, in whole or
in part, and any new By-Law or By-Laws adopted at any regular or special meeting
of the Board of Directors by a vote of the majority of all the members of the
Board of Directors then in office. 

                                      10
<PAGE>
 
                                                                       EXHIBIT C


                            SECTION 321(B) CONSENT


     Pursuant to Section 321(b) of the Trust Indenture Act of 1939, as amended,
Wilmington Trust Company hereby consents that reports of examinations by
Federal, State, Territorial or District authorities may be furnished by such
authorities to the Securities and Exchange Commission upon requests therefor.



                                   WILMINGTON TRUST COMPANY


Dated:  September 17, 1998         By:  /s/ James P. Lawler
                                        -------------------------
                                   Name:   James P. Lawler
                                   Title:  Vice President
<PAGE>
 
                                   EXHIBIT D


                                    NOTICE


          This form is intended to assist state nonmember banks and
          savings banks with state publication requirements. It has
          not been approved by any state banking authorities. Refer
          to your appropriate state banking authorities for your
          state publication requirements.

 
R E P O R T  O F  C O N D I T I O N
 
Consolidating domestic subsidiaries of the

    WILMINGTON TRUST COMPANY     of     WILMINGTON
- ---------------------------------  --------------------
            Name of Bank                 

                  City
 
in the State of DELAWARE, at the close of business on June 30, 1998.
                         
<TABLE> 
<S>                                                                       <C> 
ASSETS                                                                    Thousands of dollars
Cash and balances due from depository institutions:
      Noninterest-bearing balances and currency and coins...............    232,976
      Interest-bearing balances.........................................          0
Held-to-maturity securities.............................................    195,579
Available-for-sale securities...........................................  1,416,957
Federal funds sold and securities purchased under agreements to resell..    150,100
Loans and lease financing receivables:
      Loans and leases, net of unearned income..........................  3,978,706
      LESS:  Allowance for loan and lease losses........................     63,164
      LESS:  Allocated transfer risk reserve............................          0
      Loans and leases, net of unearned income, allowance, and reserve..  3,915,542
Assets held in trading accounts.........................................          0
Premises and fixed assets (including capitalized leases)................    135,596
Other real estate owned.................................................      1,696
Investments in unconsolidated subsidiaries and associated companies.....      1,066
Customers' liability to this bank on acceptances outstanding............          0
Intangible assets.......................................................     55,759
Other assets............................................................    103,586
Total assets............................................................  6,208,857
</TABLE> 

                                                          CONTINUED ON NEXT PAGE

<PAGE>
 
<TABLE> 
LIABILITIES
<S>                                                                           <C>
Deposits:
In domestic offices.........................................................  4,568,934
      Noninterest-bearing...................................................    838,655
      Interest-bearing......................................................  3,730,279
Federal funds purchased and Securities sold under agreements to repurchase..    418,382
Demand notes issued to the U.S. Treasury....................................     99,350
Trading liabilities (from Schedule RC-D)....................................          0
Other borrowed money:.......................................................    ///////
      With original maturity of one year or less............................    524,000
      With original maturity of more than one year..........................     43,000
Bank's liability on acceptances executed and outstanding....................          0
Subordinated notes and debentures...........................................          0
Other liabilities (from Schedule RC-G)......................................     91,728
Total liabilities...........................................................  5,745,394
 
 
EQUITY CAPITAL
 
Perpetual preferred stock and related surplus...............................          0
Common Stock................................................................        500
Surplus (exclude all surplus related to preferred stock)....................     62,118
Undivided profits and capital reserves......................................    394,325
Net unrealized holding gains (losses) on available-for-sale securities......      6,520
Total equity capital........................................................    463,463
Total liabilities, limited-life preferred stock, and equity capital.........  6,208,857
</TABLE>

                                       2

<PAGE>
 
                                                                    EXHIBIT 25.2

                               Registration No.
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------

                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C.  20549

                                   FORM T-1

        STATEMENT OF ELIGIBILITY UNDER THE TRUST INDENTURE ACT OF 1939
                 OF A CORPORATION DESIGNATED TO ACT AS TRUSTEE

CHECK IF AN APPLICATION TO DETERMINE ELIGIBILITY OF A TRUSTEE PURSUANT TO
SECTION 305(B)(2) ___

                           WILMINGTON TRUST COMPANY
              (Exact name of trustee as specified in its charter)


      Delaware                                         51-0055023
(State of incorporation)                 (I.R.S. employer identification no.)

                              Rodney Square North
                           1100 North Market Street
                          Wilmington, Delaware  19890
                   (Address of principal executive offices)

                              Cynthia L. Corliss
                       Vice President and Trust Counsel
                           Wilmington Trust Company
                              Rodney Square North
                          Wilmington, Delaware  19890
                                (302) 651-8516
           (Name, address and telephone number of agent for service)

                              GREATER BAY BANCORP

              (Exact name of obligor as specified in its charter)

      California                                         77-0387041
(State of incorporation)                    (I.R.S. employer identification no.)

   2860 West Bayshore Road
    Palo Alto, California                                  94303
(Address of principal executive offices)                 (Zip Code)



        Exchange Junior Subordinated Deferrable Interest Debentures of
                              Greater Bay Bancorp
                      (Title of the indenture securities)

- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
<PAGE>
 
ITEM 1.   GENERAL INFORMATION.

          Furnish the following information as to the trustee:

     (a)  Name and address of each examining or supervising authority to which
          it is subject.

          Federal Deposit Insurance Co.      State Bank Commissioner
          Five Penn Center                   Dover, Delaware
          Suite #2901
          Philadelphia, PA

     (b)  Whether it is authorized to exercise corporate trust powers.

          The trustee is authorized to exercise corporate trust powers.

ITEM 2.   AFFILIATIONS WITH THE OBLIGOR.

          If the obligor is an affiliate of the trustee, describe each
     affiliation:

          Based upon an examination of the books and records of the trustee and
     upon information furnished by the obligor, the obligor is not an affiliate
     of the trustee.

ITEM 3.   LIST OF EXHIBITS.

          List below all exhibits filed as part of this Statement of
     Eligibility and Qualification.

     A.   Copy of the Charter of Wilmington Trust Company, which includes the
          certificate of authority of Wilmington Trust Company to commence
          business and the authorization of Wilmington Trust Company to exercise
          corporate trust powers. 
     B.   Copy of By-Laws of Wilmington Trust Company.
     C.   Consent of Wilmington Trust Company required by Section 321(b) of
          Trust Indenture Act.
     D.   Copy of most recent Report of Condition of Wilmington Trust Company.

     Pursuant to the requirements of the Trust Indenture Act of 1939, as
amended, the trustee, Wilmington Trust Company, a corporation organized and
existing under the laws of Delaware, has duly caused this Statement of
Eligibility to be signed on its behalf by the undersigned, thereunto duly
authorized, all in the City of Wilmington and State of Delaware on the 17th day
of September, 1998.

                                        WILMINGTON TRUST COMPANY
[SEAL]
 
Attest:/s/ W. Chris Sponenberg          By:/s/ James P. Lawler
       -----------------------------       -------------------------
       Assistant Secretary              Name:  James P. Lawler
                                        Title:  Vice President

                                       2
<PAGE>
 
                                   EXHIBIT A

                                AMENDED CHARTER

                           WILMINGTON TRUST COMPANY

                             WILMINGTON, DELAWARE

                          AS EXISTING ON MAY 9, 1987
<PAGE>
 
                                AMENDED CHARTER

                                      OR

                             ACT OF INCORPORATION

                                      OF

                           WILMINGTON TRUST COMPANY

     WILMINGTON TRUST COMPANY, originally incorporated by an Act of the General
Assembly of the State of Delaware, entitled "An Act to Incorporate the Delaware
Guarantee and Trust Company", approved March 2, A.D. 1901, and the name of which
company was changed to "WILMINGTON TRUST COMPANY" by an amendment filed in the
Office of the Secretary of State on March 18, A.D. 1903, and the Charter or Act
of Incorporation of which company has been from time to time amended and changed
by merger agreements pursuant to the corporation law for state banks and trust
companies of the State of Delaware, does hereby alter and amend its Charter or
Act of Incorporation so that the same as so altered and amended shall in its
entirety read as follows:

     FIRST: - The name of this corporation is WILMINGTON TRUST COMPANY.

     SECOND: - The location of its principal office in the State of Delaware is
     at Rodney Square North, in the City of Wilmington, County of New Castle;
     the name of its resident agent is WILMINGTON TRUST COMPANY whose address is
     Rodney Square North, in said City. In addition to such principal office,
     the said corporation maintains and operates branch offices in the City of
     Newark, New Castle County, Delaware, the Town of Newport, New Castle
     County, Delaware, at Claymont, New Castle County, Delaware, at Greenville,
     New Castle County Delaware, and at Milford Cross Roads, New Castle County,
     Delaware, and shall be empowered to open, maintain and operate branch
     offices at Ninth and Shipley Streets, 418 Delaware Avenue, 2120 Market
     Street, and 3605 Market Street, all in the City of Wilmington, New Castle
     County, Delaware, and such other branch offices or places of business as
     may be authorized from time to time by the agency or agencies of the
     government of the State of Delaware empowered to confer such authority.

     THIRD: - (a) The nature of the business and the objects and purposes
     proposed to be transacted, promoted or carried on by this Corporation are
     to do any or all of the things herein mentioned as fully and to the same
     extent as natural persons might or could do and in any part of the world,
     viz.:

          (1)  To sue and be sued, complain and defend in any Court of law or
          equity and to make and use a common seal, and alter the seal at
          pleasure, to hold, purchase, convey, mortgage or otherwise deal in
          real and personal estate and property, and to appoint such officers
          and agents as the business of the
<PAGE>
 
           Corporation shall require, to make by-laws not inconsistent with the
           Constitution or laws of the United States or of this State, to
           discount bills, notes or other evidences of debt, to receive deposits
           of money, or securities for money, to buy gold and silver bullion and
           foreign coins, to buy and sell bills of exchange, and generally to
           use, exercise and enjoy all the powers, rights, privileges and
           franchises incident to a corporation which are proper or necessary
           for the transaction of the business of the Corporation hereby
           created.

           (2)  To insure titles to real and personal property, or any estate or
           interests therein, and to guarantee the holder of such property, real
           or personal, against any claim or claims, adverse to his interest
           therein, and to prepare and give certificates of title for any lands
           or premises in the State of Delaware, or elsewhere.

           (3)  To act as factor, agent, broker or attorney in the receipt,
           collection, custody, investment and management of funds, and the
           purchase, sale, management and disposal of property of all
           descriptions, and to prepare and execute all papers which may be
           necessary or proper in such business.

           (4)  To prepare and draw agreements, contracts, deeds, leases,
           conveyances, mortgages, bonds and legal papers of every description,
           and to carry on the business of conveyancing in all its branches.

           (5)  To receive upon deposit for safekeeping money, jewelry, plate,
           deeds, bonds and any and all other personal property of every sort
           and kind, from executors, administrators, guardians, public officers,
           courts, receivers, assignees, trustees, and from all fiduciaries, and
           from all other persons and individuals, and from all corporations
           whether state, municipal, corporate or private, and to rent boxes,
           safes, vaults and other receptacles for such property.

           (6)  To act as agent or otherwise for the purpose of registering,
           issuing, certificating, countersigning, transferring or underwriting
           the stock, bonds or other obligations of any corporation,
           association, state or municipality, and may receive and manage any
           sinking fund therefor on such terms as may be agreed upon between the
           two parties, and in like manner may act as Treasurer of any
           corporation or municipality.

           (7)  To act as Trustee under any deed of trust, mortgage, bond or
           other instrument issued by any state, municipality, body politic,
           corporation, association or person, either alone or in conjunction
           with any other person or persons, corporation or corporations.

                                       2
<PAGE>
 
           (8)  To guarantee the validity, performance or effect of any contract
           or agreement, and the fidelity of persons holding places of
           responsibility or trust; to become surety for any person, or persons,
           for the faithful performance of any trust, office, duty, contract or
           agreement, either by itself or in conjunction with any other person,
           or persons, corporation, or corporations, or in like manner become
           surety upon any bond, recognizance, obligation, judgment, suit,
           order, or decree to be entered in any court of record within the
           State of Delaware or elsewhere, or which may now or hereafter be
           required by any law, judge, officer or court in the State of Delaware
           or elsewhere.

           (9)  To act by any and every method of appointment as trustee,
           trustee in bankruptcy, receiver, assignee, assignee in bankruptcy,
           executor, administrator, guardian, bailee, or in any other trust
           capacity in the receiving, holding, managing, and disposing of any
           and all estates and property, real, personal or mixed, and to be
           appointed as such trustee, trustee in bankruptcy, receiver, assignee,
           assignee in bankruptcy, executor, administrator, guardian or bailee
           by any persons, corporations, court, officer, or authority, in the
           State of Delaware or elsewhere; and whenever this Corporation is so
           appointed by any person, corporation, court, officer or authority
           such trustee, trustee in bankruptcy, receiver, assignee, assignee in
           bankruptcy, executor, administrator, guardian, bailee, or in any
           other trust capacity, it shall not be required to give bond with
           surety, but its capital stock shall be taken and held as security for
           the performance of the duties devolving upon it by such appointment.

           (10) And for its care, management and trouble, and the exercise of
           any of its powers hereby given, or for the performance of any of the
           duties which it may undertake or be called upon to perform, or for
           the assumption of any responsibility the said Corporation may be
           entitled to receive a proper compensation.

           (11) To purchase, receive, hold and own bonds, mortgages, debentures,
           shares of capital stock, and other securities, obligations, contracts
           and evidences of indebtedness, of any private, public or municipal
           corporation within and without the State of Delaware, or of the
           Government of the United States, or of any state, territory, colony,
           or possession thereof, or of any foreign government or country; to
           receive, collect, receipt for, and dispose of interest, dividends and
           income upon and from any of the bonds, mortgages, debentures, notes,
           shares of capital stock, securities, obligations, contracts,
           evidences of indebtedness and other property held and owned by it,
           and to exercise in respect of all such bonds, mortgages, debentures,
           notes, shares of capital stock, securities, obligations, contracts,
           evidences of indebtedness and other property, any and all the rights,
           powers and privileges of individual

                                       3
<PAGE>
 
           owners thereof, including the right to vote thereon; to invest and
           deal in and with any of the moneys of the Corporation upon such
           securities and in such manner as it may think fit and proper, and
           from time to time to vary or realize such investments; to issue bonds
           and secure the same by pledges or deeds of trust or mortgages of or
           upon the whole or any part of the property held or owned by the
           Corporation, and to sell and pledge such bonds, as and when the Board
           of Directors shall determine, and in the promotion of its said
           corporate business of investment and to the extent authorized by law,
           to lease, purchase, hold, sell, assign, transfer, pledge, mortgage
           and convey real and personal property of any name and nature and any
           estate or interest therein.

      (b)  In furtherance of, and not in limitation, of the powers conferred by
      the laws of the State of Delaware, it is hereby expressly provided that
      the said Corporation shall also have the following powers:

           (1)  To do any or all of the things herein set forth, to the same
           extent as natural persons might or could do, and in any part of the
           world.

           (2)  To acquire the good will, rights, property and franchises and to
           undertake the whole or any part of  the assets and liabilities of any
           person, firm, association or corporation, and to pay for the same in
           cash, stock of this Corporation, bonds or otherwise; to hold or in
           any manner to dispose of the whole or any part of the property so
           purchased; to conduct in any lawful manner the whole or any part of
           any business so acquired, and to exercise all the powers necessary or
           convenient in and about the conduct and management of such business.

           (3)  To take, hold, own, deal in, mortgage or otherwise lien, and to
           lease, sell, exchange, transfer, or in any manner whatever dispose of
           property, real, personal or mixed, wherever situated.

           (4)  To enter into, make, perform and carry out contracts of every
           kind with any person, firm, association or corporation, and, without
           limit as to amount, to draw, make, accept, endorse, discount,
           execute and issue promissory notes, drafts, bills of exchange,
           warrants, bonds, debentures, and other negotiable or transferable
           instruments.

           (5)  To have one or more offices, to carry on all or any of its
           operations and businesses, without restriction to the same extent as
           natural persons might or could do, to purchase or otherwise acquire,
           to hold, own, to mortgage, sell, convey or otherwise dispose of, real
           and personal property, of every class and description, in any State,
           District, Territory or Colony of the United States, and in any
           foreign country or place.

                                       4
<PAGE>
 
           (6)  It is the intention that the objects, purposes and powers
           specified and clauses contained in this paragraph shall (except where
           otherwise expressed in said paragraph) be nowise limited or
           restricted by reference to or inference from the terms of any other
           clause of this or any other paragraph in this charter, but that the
           objects, purposes and powers specified in each of the clauses of this
           paragraph shall be regarded as independent objects, purposes and
           powers.

      FOURTH: - (a)  The total number of shares of all classes of stock which
      the Corporation shall have authority to issue is forty-one million
      (41,000,000) shares, consisting of:

           (1)  One million (1,000,000) shares of Preferred stock, par value
           $10.00 per share (hereinafter referred to as "Preferred Stock"); and

           (2)  Forty million (40,000,000) shares of Common Stock, par value
           $1.00 per share (hereinafter referred to as "Common Stock").

      (b)  Shares of Preferred Stock may be issued from time to time in one or
      more series as may from time to time be determined by the Board of
      Directors each of said series to be distinctly designated.  All shares of
      any one series of Preferred Stock shall be alike in every particular,
      except that there may be different dates from which dividends, if any,
      thereon shall be cumulative, if made cumulative.  The voting powers and
      the preferences and relative, participating, optional and other special
      rights of each such series, and the qualifications, limitations or
      restrictions thereof, if any, may differ from those of any and all other
      series at any time outstanding; and, subject to the provisions of
      subparagraph 1 of Paragraph (c) of this Article FOURTH, the Board of
      Directors of the Corporation is hereby expressly granted authority to fix
      by resolution or resolutions adopted prior to the issuance of any shares
      of a particular series of Preferred Stock, the voting powers and the
      designations, preferences and relative, optional and other special rights,
      and the qualifications, limitations and restrictions of such series,
      including, but without limiting the generality of the foregoing, the
      following:

           (1)  The distinctive designation of, and the number of shares of
           Preferred Stock which shall constitute such series, which number may
           be increased (except where otherwise provided by the Board of
           Directors) or decreased (but not below the number of shares thereof
           then outstanding) from time to time by like action of the Board of
           Directors;

           (2)  The rate and times at which, and the terms and conditions on
           which, dividends, if any, on Preferred Stock of such series shall be
           paid, the extent of the preference or relation, if any, of such
           dividends to the dividends payable 

                                       5
<PAGE>
 
           on any other class or classes, or series of the same or other class
           of stock and whether such dividends shall be cumulative or non-
           cumulative;

           (3)  The right, if any, of the holders of Preferred Stock of such
           series to convert the same into or exchange the same for, shares of
           any other class or classes or of any series of the same or any other
           class or classes of stock of the Corporation and the terms and
           conditions of such conversion or exchange;

           (4)  Whether or not Preferred Stock of such series shall be subject
           to redemption, and the redemption price or prices and the time or
           times at which, and the terms and conditions on which, Preferred
           Stock of such series may be redeemed.

           (5)  The rights, if any, of the holders of Preferred Stock of such
           series upon the voluntary or involuntary liquidation, merger,
           consolidation, distribution or sale of assets, dissolution or
           winding-up, of the Corporation.

           (6)  The terms of the sinking fund or redemption or purchase account,
           if any, to be provided for the Preferred Stock of such series; and

           (7)  The voting powers, if any, of the holders of such series of
           Preferred Stock which may, without limiting the generality of the
           foregoing include the right, voting as a series or by itself or
           together with other series of Preferred Stock or all series of
           Preferred Stock as a class, to elect one or more directors of the
           Corporation if there shall have been a default in the payment of
           dividends on any one or more series of Preferred Stock or under such
           circumstances and on such conditions as the Board of Directors may
           determine.

      (c)  (1)  After the requirements with respect to preferential dividends on
      the Preferred Stock (fixed in accordance with the provisions of section
      (b) of this Article FOURTH), if any, shall have been met and after the
      Corporation shall have complied with all the requirements, if any, with
      respect to the setting aside of sums as sinking funds or redemption or
      purchase accounts (fixed in accordance with the provisions of section (b)
      of this Article FOURTH), and subject further to any conditions which may
      be fixed in accordance with the provisions of section (b) of this Article
      FOURTH, then and not otherwise the holders of Common Stock shall be
      entitled to receive such dividends as may be declared from time to time by
      the Board of Directors.

           (2)  After distribution in full of the preferential amount, if any,
           (fixed in accordance with the provisions of section (b) of this
           Article FOURTH), to be distributed to the holders of Preferred Stock
           in the event of voluntary or involuntary liquidation, distribution or
           sale of assets, dissolution or winding-up, of the Corporation, the
           holders of the Common Stock shall be entitled to

                                       6
<PAGE>
 
           receive all of the remaining assets of the Corporation, tangible and
           intangible, of whatever kind available for distribution to
           stockholders ratably in proportion to the number of shares of Common
           Stock held by them respectively.

           (3)  Except as may otherwise be required by law or by the provisions
           of such resolution or resolutions as may be adopted by the Board of
           Directors pursuant to section (b) of this Article FOURTH, each holder
           of Common Stock shall have one vote in respect of each share of
           Common Stock held on all matters voted upon by the stockholders.

      (d)  No holder of any of the shares of any class or series of stock or of
      options, warrants or other rights to purchase shares of any class or
      series of stock or of other securities of the Corporation shall have any
      preemptive right to purchase or subscribe for any unissued stock of any
      class or series or any additional shares of any class or series to be
      issued by reason of any increase of the authorized capital stock of the
      Corporation of any class or series, or bonds, certificates of
      indebtedness, debentures or other securities convertible into or
      exchangeable for stock of the Corporation of any class or series, or
      carrying any right to purchase stock of any class or series, but any such
      unissued stock, additional authorized issue of shares of any class or
      series of stock or securities convertible into or exchangeable for stock,
      or carrying any right to purchase stock, may be issued and disposed of
      pursuant to resolution of the Board of Directors to such persons, firms,
      corporations or associations, whether such holders or others, and upon
      such terms as may be deemed advisable by the Board of Directors in the
      exercise of its sole discretion.

      (e)  The relative powers, preferences and rights of each series of
      Preferred Stock in relation to the relative powers, preferences and rights
      of each other series of Preferred Stock shall, in each case, be as fixed
      from time to time by the Board of Directors in the resolution or
      resolutions adopted pursuant to authority granted in section (b) of this
      Article FOURTH and the consent, by class or series vote or otherwise, of
      the holders of such of the series of Preferred Stock as are from time to
      time outstanding shall not be required for the issuance by the Board of
      Directors of any other series of Preferred Stock whether or not the
      powers, preferences and rights of such other series shall be fixed by the
      Board of Directors as senior to, or on a parity with, the powers,
      preferences and rights of such outstanding series, or any of them;
      provided, however, that the Board of Directors may provide in the
      resolution or resolutions as to any series of Preferred Stock adopted
      pursuant to section (b) of this Article FOURTH that the consent of the
      holders of a majority (or such greater proportion as shall be therein
      fixed) of the outstanding shares of such series voting thereon shall be
      required for the issuance of any or all other series of Preferred Stock.

                                       7
<PAGE>
 
      (f)  Subject to the provisions of section (e), shares of any series of
      Preferred Stock may be issued from time to time as the Board of Directors
      of the Corporation shall determine and on such terms and for such
      consideration as shall be fixed by the Board of Directors.

      (g)  Shares of Common Stock may be issued from time to time as the Board
      of Directors of the Corporation shall determine and on such terms and for
      such consideration as shall be fixed by the Board of Directors.

      (h)  The authorized amount of shares of Common Stock and of Preferred
      Stock may, without a class or series vote, be increased or decreased from
      time to time by the affirmative vote of the holders of a majority of the
      stock of the Corporation entitled to vote thereon.

      FIFTH: - (a)  The business and affairs of the Corporation shall be
      conducted and managed by a Board of Directors.  The number of directors
      constituting the entire Board shall be not less than five nor more than
      twenty-five as fixed from time to time by vote of a majority of the whole
      Board, provided, however, that the number of directors shall not be
      reduced so as to shorten the term of any director at the time in office,
      and provided further, that the number of directors constituting the whole
      Board shall be twenty-four until otherwise fixed by a majority of the
      whole Board.

      (b)  The Board of Directors shall be divided into three classes, as nearly
      equal in number as the then total number of directors constituting the
      whole Board permits, with the term of office of one class expiring each
      year.  At the annual meeting of stockholders in 1982, directors of the
      first class shall be elected to hold office for a term expiring at the
      next succeeding annual meeting, directors of the second class shall be
      elected to hold office for a term expiring at the second succeeding annual
      meeting and directors of the third class shall be elected to hold office
      for a term expiring at the third succeeding annual meeting.  Any vacancies
      in the Board of Directors for any reason, and any newly created
      directorships resulting from any increase in the directors, may be filled
      by the Board of Directors, acting by a majority of the directors then in
      office, although less than a quorum, and any directors so chosen shall
      hold office until the next annual election of directors.  At such
      election, the stockholders shall elect a successor to such director to
      hold office until the next election of the class for which such director
      shall have been chosen and until his successor shall be elected and
      qualified.  No decrease in the number of directors shall shorten the term
      of any incumbent director.

      (c)  Notwithstanding any other provisions of this Charter or Act of
      Incorporation or the By-Laws of the Corporation (and notwithstanding the
      fact that some lesser percentage may be specified by law, this Charter or
      Act of Incorporation or the By-Laws of the Corporation), any director or
      the entire Board of Directors of the

                                       8
<PAGE>
 
      Corporation may be removed at any time without cause, but only by the
      affirmative vote of the holders of two-thirds or more of the outstanding
      shares of capital stock of the Corporation entitled to vote generally in
      the election of directors (considered for this purpose as one class) cast
      at a meeting of the stockholders called for that purpose.

      (d)  Nominations for the election of directors may be made by the Board of
      Directors or by any stockholder entitled to vote for the election of
      directors.  Such nominations shall be made by notice in writing, delivered
      or mailed by first class United States mail, postage prepaid, to the
      Secretary of the Corporation not less than 14 days nor more than 50 days
      prior to any meeting of the stockholders called for the election of
      directors; provided, however, that if less than 21 days' notice of the
      meeting is given to stockholders, such written notice shall be delivered
      or mailed, as prescribed, to the Secretary of the Corporation not later
      than the close of the seventh day following the day on which notice of the
      meeting was mailed to stockholders.  Notice of nominations which are
      proposed by the Board of Directors shall be given by the Chairman on
      behalf of the Board.

      (e)  Each notice under subsection (d) shall set forth (i) the name, age,
      business address and, if known, residence address of each nominee proposed
      in such notice, (ii) the principal occupation or employment of such
      nominee and (iii) the number of shares of stock of the Corporation which
      are beneficially owned by each such nominee.

      (f)  The Chairman of the meeting may, if the facts warrant, determine and
      declare to the meeting that a nomination was not made in accordance with
      the foregoing procedure, and if he should so determine, he shall so
      declare to the meeting and the defective nomination shall be disregarded.

      (g)  No action required to be taken or which may be taken at any annual or
      special meeting of stockholders of the Corporation may be taken without a
      meeting, and the power of stockholders to consent in writing, without a
      meeting, to the taking of any action is specifically denied.

      SIXTH: - The Directors shall choose such officers, agent and servants as
      may be provided in the By-Laws as they may from time to time find
      necessary or proper.

      SEVENTH: - The Corporation hereby created is hereby given the same powers,
      rights and privileges as may be conferred upon corporations organized
      under the Act entitled "An Act Providing a General Corporation Law",
      approved March 10, 1899, as from time to time amended.

      EIGHTH: - This Act shall be deemed and taken to be a private Act.

                                       9
<PAGE>
 
      NINTH: - This Corporation is to have perpetual existence.

      TENTH: - The Board of Directors, by resolution passed by a majority of the
      whole Board, may designate any of their number to constitute an Executive
      Committee, which Committee, to the extent provided in said resolution, or
      in the By-Laws of the Company, shall have and may exercise all of the
      powers of the Board of Directors in the management of the business and
      affairs of the Corporation, and shall have power to authorize the seal of
      the Corporation to be affixed to all papers which may require it.

      ELEVENTH: - The private property of the stockholders shall not be liable
      for the payment of corporate debts to any extent whatever.

      TWELFTH: - The Corporation may transact business in any part of the world.

      THIRTEENTH: - The Board of Directors of the Corporation is expressly
      authorized to make, alter or repeal the By-Laws of the Corporation by a
      vote of the majority of the entire Board.  The stockholders may make,
      alter or repeal any By-Law whether or not adopted by them, provided
      however, that any such additional By-Laws, alterations or repeal may be
      adopted only by the affirmative vote of the holders of two-thirds or more
      of the outstanding shares of capital stock of the Corporation entitled to
      vote generally in the election of directors (considered for this purpose
      as one class).

      FOURTEENTH: - Meetings of the Directors may be held outside

      of the State of Delaware at such places as may be from time to time
      designated by the Board, and the Directors may keep the books of the
      Company outside of the State of Delaware at such places as may be from
      time to time designated by them.

      FIFTEENTH: - (a) In addition to any affirmative vote required by law, and
      except as otherwise expressly provided in sections (b) and (c) of this
      Article FIFTEENTH:

           (A)  any merger or consolidation of the Corporation or any Subsidiary
           (as hereinafter defined) with or into (i) any Interested Stockholder
           (as hereinafter defined) or (ii) any other corporation (whether or
           not itself an Interested Stockholder), which, after such merger or
           consolidation, would be an Affiliate (as hereinafter defined) of an
           Interested Stockholder, or

           (B)  any sale, lease, exchange, mortgage, pledge, transfer or other
           disposition (in one transaction or a series of related transactions)
           to or with any Interested Stockholder or any Affiliate of any
           Interested Stockholder of any assets of the Corporation or any
           Subsidiary having an aggregate fair market value of $1,000,000 or
           more, or

                                      10
<PAGE>
 
           (C)  the issuance or transfer by the Corporation or any Subsidiary
           (in one transaction or a series of related transactions) of any
           securities of the Corporation or any Subsidiary to any Interested
           Stockholder or any Affiliate of any Interested Stockholder in
           exchange for cash, securities or other property (or a combination
           thereof) having an aggregate fair market value of $1,000,000 or more,
           or

           (D)  the adoption of any plan or proposal for the liquidation or
           dissolution of the Corporation, or

           (E)  any reclassification of securities (including any reverse stock
           split), or recapitalization of the Corporation, or any merger or
           consolidation of the Corporation with any of its Subsidiaries or any
           similar transaction (whether or not with or into or otherwise
           involving an Interested Stockholder) which has the effect, directly
           or indirectly, of increasing the proportionate share of the
           outstanding shares of any class of equity or convertible securities
           of the Corporation or any Subsidiary which is directly or indirectly
           owned by any Interested Stockholder, or any Affiliate of any
           Interested Stockholder,

shall require the affirmative vote of the holders of at least  two-thirds of the
outstanding shares of capital stock of the Corporation entitled to vote
generally in the election of directors, considered for the purpose of this
Article FIFTEENTH as one class ("Voting Shares").  Such affirmative vote shall
be required notwithstanding the fact that no vote may be required, or that some
lesser percentage may be specified, by law or in any agreement with any national
securities exchange or otherwise.

           (2)  The term "business combination" as used in this Article
           FIFTEENTH shall mean any transaction which is referred to any one or
           more of clauses (A) through (E) of paragraph 1 of the section (a).

           (b)  The provisions of section (a) of this Article FIFTEENTH shall
           not be applicable to any particular business combination and such
           business combination shall require only such affirmative vote as is
           required by law and any other provisions of the Charter or Act of
           Incorporation of By-Laws if such business combination has been
           approved by a majority of the whole Board.

           (c)  For the purposes of this Article FIFTEENTH:

      (1)  A "person" shall mean any individual firm, corporation or other
      entity.

      (2)  "Interested Stockholder" shall mean, in respect of any business
      combination, any person (other than the Corporation or any Subsidiary) who
      or which as of the record date for the determination of stockholders
      entitled to notice of and to vote on such 

                                      11
<PAGE>
 
      business combination, or immediately prior to the consummation of any such
      transaction:

           (A)  is the beneficial owner, directly or indirectly, of more than
           10% of the Voting Shares, or

           (B)  is an Affiliate of the Corporation and at any time within two
           years prior thereto was the beneficial owner, directly or indirectly,
           of not less than 10% of the then outstanding voting Shares, or

           (C)  is an assignee of or has otherwise succeeded in any share of
           capital stock of the Corporation which were at any time within two
           years prior thereto beneficially owned by any Interested Stockholder,
           and such assignment or succession shall have occurred in the course
           of a transaction or series of transactions not involving a public
           offering within the meaning of the Securities Act of 1933.

      (3)  A person shall be the "beneficial owner" of any Voting Shares:

           (A)  which such person or any of its Affiliates and Associates (as
           hereafter defined) beneficially own, directly or indirectly, or

           (B)  which such person or any of its Affiliates or Associates has (i)
           the right to acquire (whether such right is exercisable immediately
           or only after the passage of time), pursuant to any agreement,
           arrangement or understanding or upon the exercise of conversion
           rights, exchange rights, warrants or options, or otherwise, or (ii)
           the right to vote pursuant to any agreement, arrangement or
           understanding, or

           (C)  which are beneficially owned, directly or indirectly, by any
           other person with which such first mentioned person or any of its
           Affiliates or Associates has any agreement, arrangement or
           understanding for the purpose of acquiring, holding, voting or
           disposing of any shares of capital stock of the Corporation.

      (4)  The outstanding Voting Shares shall include shares deemed owned
      through application of paragraph (3) above but shall not include any other
      Voting Shares which may be issuable pursuant to any agreement, or upon
      exercise of conversion rights, warrants or options or otherwise.

      (5)  "Affiliate" and "Associate" shall have the respective meanings given
      those terms in Rule 12b-2 of the General Rules and Regulations under the
      Securities Exchange Act of 1934, as in effect on December 31, 1981.

                                      12

<PAGE>
 
      (6)  "Subsidiary" shall mean any corporation of which a majority of any
      class of equity security (as defined in Rule 3a11-1 of the General Rules
      and Regulations under the Securities Exchange Act of 1934, as in effect in
      December 31, 1981) is owned, directly or indirectly, by the Corporation;
      provided, however, that for the purposes of the definition of Investment
      Stockholder set forth in paragraph (2) of this section (c), the term
      "Subsidiary" shall mean only a corporation of which a majority of each
      class of equity security is owned, directly or indirectly, by the
      Corporation.

           (d)  majority of the directors shall have the power and duty to
           determine for the purposes of this Article FIFTEENTH on the basis of
           information known to them, (1) the number of Voting Shares
           beneficially owned by any person (2) whether a person is an Affiliate
           or Associate of another, (3) whether a person has an agreement,
           arrangement or understanding with another as to the matters referred
           to in paragraph (3) of section (c), or (4) whether the assets subject
           to any business combination or the consideration received for the
           issuance or transfer of securities by the Corporation, or any
           Subsidiary has an aggregate fair market value of $1,000,000 or more.

           (e)  Nothing contained in this Article FIFTEENTH shall be construed
           to relieve any Interested Stockholder from any fiduciary obligation
           imposed by law.

      SIXTEENTH:   Notwithstanding any other provision of this Charter or Act of
      Incorporation or the By-Laws of the Corporation (and in addition to any
      other vote that may be required by law, this Charter or Act of
      Incorporation by the By-Laws), the affirmative vote of the holders of at
      least two-thirds of the outstanding shares of the capital stock of the
      Corporation entitled to vote generally in the election of directors
      (considered for this purpose as one class) shall be required to amend,
      alter or repeal any provision of Articles FIFTH, THIRTEENTH, FIFTEENTH or
      SIXTEENTH of this Charter or Act of Incorporation.

      SEVENTEENTH: (a)  a Director of this Corporation shall not be liable to
      the Corporation or its stockholders for monetary damages for breach of
      fiduciary duty as a Director, except to the extent such exemption from
      liability or limitation thereof is not permitted under the Delaware
      General Corporation Laws as the same exists or may hereafter be amended.

           (b)  Any repeal or modification of the foregoing paragraph shall not
           adversely affect any right or protection of a Director of the
           Corporation existing hereunder with respect to any act or omission
           occurring prior to the time of such repeal or modification."

                                      13
<PAGE>
 
                                   EXHIBIT B

                                    BY-LAWS

                            WILMINGTON TRUST COMPANY

                              WILMINGTON, DELAWARE

                        AS EXISTING ON JANUARY 16, 1997
<PAGE>
 
                      BY-LAWS OF WILMINGTON TRUST COMPANY


                                   ARTICLE I
                             STOCKHOLDERS' MEETINGS

      Section 1.  The Annual Meeting of Stockholders shall be held on the third
Thursday in April each year at the principal office at the Company or at such
other date, time, or place as may be designated by resolution by the Board of
Directors.

      Section 2.  Special meetings of all stockholders may be called at any time
by the Board of Directors, the Chairman of the Board or the President.

      Section 3.  Notice of all meetings of the stockholders shall be given by
mailing to each stockholder at least ten (10) days before said meeting, at his
last known address, a written or printed notice fixing the time and place of
such meeting.

      Section 4.  A majority in the amount of the capital stock of the Company
issued and outstanding on the record date, as herein determined, shall
constitute a quorum at all meetings of stockholders for the transaction of any
business, but the holders of a small number of shares may adjourn, from time to
time, without further notice, until a quorum is secured.  At each annual or
special meeting of stockholders, each stockholder shall be entitled to one vote,
either in person or by proxy, for each shares of stock registered in the
stockholder's name on the books of the Company on the record date for any such
meeting as determined herein.


                                   ARTICLE II
                                   DIRECTORS

      Section 1.  The number and classification of the Board of Directors shall
be as set forth in the Charter of the Bank.

      Section 2.  No person who has attained the age of seventy-two (72) years
shall be nominated for election to the Board of Directors of the Company,
provided, however, that this limitation shall not apply to any person who was
serving as director of the Company on September 16, 1971.

      Section 3.  The class of Directors so elected shall hold office for three
years or until their successors are elected and qualified.

      Section 4.  The affairs and business of the Company shall be managed and
conducted by the Board of Directors.
<PAGE>
 
      Section 5.  The Board of Directors shall meet at the principal office of
the Company or elsewhere in its discretion at such times to be determined by a
majority of its members, or at the call of the Chairman of the Board of
Directors or the
President.

      Section 6.  Special meetings of the Board of Directors may be called at
any time by the Chairman of the Board of Directors or by the President, and
shall be called upon the written request of a majority of the directors.

      Section 7.  A majority of the directors elected and qualified shall be
necessary to constitute a quorum for the transaction of business at any meeting
of the Board of Directors.

      Section 8.  Written notice shall be sent by mail to each director of any
special meeting of the Board of Directors, and of any change in the time or
place of any regular meeting, stating the time and place of such meeting, which
shall be mailed not less than two days before the time of holding such meeting.

      Section 9.  In the event of the death, resignation, removal, inability to
act, or disqualification of any director, the Board of Directors, although less
than a quorum, shall have the right to elect the successor who shall hold office
for the remainder of the full term of the class of directors in which the
vacancy occurred, and until such director's successor shall have been duly
elected and qualified.

      Section 10.  The Board of Directors at its first meeting after its
election by the stockholders shall appoint an Executive Committee, a Trust
Committee, an Audit Committee and a Compensation Committee, and shall elect from
its own members a Chairman of the Board of Directors and a President who may be
the same person.  The Board of Directors shall also elect at such meeting a
Secretary and a Treasurer, who may be the same person, may appoint at any time
such other committees and elect or appoint such other officers as it may deem
advisable.  The Board of Directors may also elect at such meeting one or more
Associate Directors.

      Section 11.  The Board of Directors may at any time remove, with or
without cause, any member of any Committee appointed by it or any associate
director or officer elected by it and may appoint or elect his successor.

      Section 12.  The Board of Directors may designate an officer to be in
charge of such of the departments or division of the Company as it may deem
advisable.

                                       2
<PAGE>
 
                                  ARTICLE III
                                   COMMITTEES

      Section 1.  Executive Committee

               (A)  The Executive Committee shall be composed of not more than
nine members who shall be selected by the Board of Directors from its own
members and who shall hold office during the pleasure of the Board.

               (B)  The Executive Committee shall have all the powers of the
Board of Directors when it is not in session to transact all business for and in
behalf of the Company that may be brought before it.

               (C)  The Executive Committee shall meet at the principal office
of the Company or elsewhere in its discretion at such times to be determined by
a majority of its members, or at the call of the Chairman of the Executive
Committee or at the call of the Chairman of the Board of Directors. The majority
of its members shall be necessary to constitute a quorum for the transaction of
business. Special meetings of the Executive Committee may be held at any time
when a quorum is present.

               (D)  Minutes of each meeting of the Executive Committee shall be
kept and submitted to the Board of Directors at its next meeting.

               (E)  The Executive Committee shall advise and superintend all
investments that may be made of the funds of the Company, and shall direct the
disposal of the same, in accordance with such rules and regulations as the Board
of Directors from time to time make.

               (F)  In the event of a state of disaster of sufficient severity
to prevent the conduct and management of the affairs and business of the Company
by its directors and officers as contemplated by these By-Laws any two available
members of the Executive Committee as constituted immediately prior to such
disaster shall constitute a quorum of that Committee for the full conduct and
management of the affairs and business of the Company in accordance with the
provisions of Article III of these By-Laws; and if less than three members of
the Trust Committee is constituted immediately prior to such disaster shall be
available for the transaction of its business, such Executive Committee shall
also be empowered to exercise all of the powers reserved to the Trust Committee
under Article III Section 2 hereof. In the event of the unavailability, at such
time, of a minimum of two members of such Executive Committee, any three
available directors shall constitute the Executive Committee for the full
conduct and management of the affairs and business of the Company in accordance
with the foregoing provisions of this Section. This By-Law shall be subject to
implementation by Resolutions of the Board of Directors presently existing or
hereafter passed from time to time for that purpose, and any provisions of these
By-Laws (other than this Section) and any resolutions which are contrary to the
provisions of this Section or to the provisions of any such 

                                       3
<PAGE>
 
implementary Resolutions shall be suspended during such a disaster period until
it shall be determined by any interim Executive Committee acting under this
section that it shall be to the advantage of the Company to resume the conduct
and management of its affairs and business under all of the other provisions of
these By-Laws.

      Section 2.  Trust Committee
 
               (A)  The Trust Committee shall be composed of not more than
thirteen members who shall be selected by the Board of Directors, a majority of
whom shall be members of the Board of Directors and who shall hold office during
the pleasure of the Board.

               (B)  The Trust Committee shall have general supervision over the
Trust Department and the investment of trust funds, in all matters, however,
being subject to the approval of the Board of Directors.

               (C)  The Trust Committee shall meet at the principal office of
the Company or elsewhere in its discretion at such times to be determined by a
majority of its members or at the call of its chairman. A majority of its
members shall be necessary to constitute a quorum for the transaction of
business.

               (D)  Minutes of each meeting of the Trust Committee shall be kept
and promptly submitted to the Board of Directors.
 
               (E)  The Trust Committee shall have the power to appoint
Committees and/or designate officers or employees of the Company to whom
supervision over the investment of trust funds may be delegated when the Trust
Committee is not in session.

      Section 3.  Audit Committee

          (A)  The Audit Committee shall be composed of five members who shall
be selected by the Board of Directors from its own members, none of whom shall
be an officer of the Company, and shall hold office at the pleasure of the
Board.

          (B)  The Audit Committee shall have general supervision over the Audit
Division in all matters however subject to the approval of the Board of
Directors; it shall consider all matters brought to its attention by the officer
in charge of the Audit Division, review all reports of examination of the
Company made by any governmental agency or such independent auditor employed for
that purpose, and make such recommendations to the Board of Directors with
respect thereto or with respect to any other matters pertaining to auditing the
Company as it shall deem desirable.

                                       4
<PAGE>
 
          (C)  The Audit Committee shall meet whenever and wherever the majority
of its members shall deem it to be proper for the transaction of its business,
and a majority of its Committee shall constitute a quorum.

      Section 4.  Compensation Committee

          (A)  The Compensation Committee shall be composed of not more than
five (5) members who shall be selected by the Board of Directors from its own
members who are not officers of the Company and who shall hold office during the
pleasure of the Board.

          (B)  The Compensation Committee shall in general advise upon all
matters of policy concerning the Company brought to its attention by the
management and from time to time review the management of the Company, major
organizational matters, including salaries and employee benefits and
specifically shall administer the Executive Incentive Compensation Plan.

          (C)  Meetings of the Compensation Committee may be called at any time
by the Chairman of the Compensation Committee, the Chairman of the Board of
Directors, or the President of the Company.

      Section 5.  Associate Directors

          (A)  Any person who has served as a director may be elected by the
Board of Directors as an associate director, to serve during the pleasure of the
Board.

          (B)  An associate director shall be entitled to attend all directors
meetings and participate in the discussion of all matters brought to the Board,
with the exception that he would have no right to vote. An associate director
will be eligible for appointment to Committees of the Company, with the
exception of the Executive Committee, Audit Committee and Compensation
Committee, which must be comprised solely of active directors.

      Section 6.  Absence or Disqualification of Any Member of a Committee

          (A)  In the absence or disqualification of any member of any Committee
created under Article III of the By-Laws of this Company, the member or members
thereof present at any meeting and not disqualified from voting, whether or not
he or they constitute a quorum, may unanimously appoint another member of the
Board of Directors to act at the meeting in the place of any such absence or
disqualified member.

                                       5
<PAGE>
 
                                   ARTICLE IV
                                    OFFICERS

      Section 1.  The Chairman of the Board of Directors shall preside at all
meetings of the Board and shall have such further authority and powers and shall
perform such duties as the Board of Directors may from time to time confer and
direct.  He shall also exercise such powers and perform such duties as may from
time to time be agreed upon between himself and the President of the Company.

      Section 2.  The Vice Chairman of the Board.  The Vice Chairman of the
                  -------------------------------                          
Board of Directors shall preside at all meetings of the Board of Directors at
which the Chairman of the Board shall not be present and shall have such further
authority and powers and shall perform such duties as the Board of Directors or
the Chairman of the Board may from time to time confer and direct.

      Section 3.  The President shall have the powers and duties pertaining to
the office of the President conferred or imposed upon him by statute or assigned
to him by the Board of Directors in the absence of the Chairman of the Board the
President shall have the powers and duties of the Chairman of the Board.

      Section 4.  The Chairman of the Board of Directors or the President as
designated by the Board of Directors, shall carry into effect all legal
directions of the Executive Committee and of the Board of Directors, and shall
at all times exercise general supervision over the interest, affairs and
operations of the Company and perform all duties incident to his office.

      Section 5.  There may be one or more Vice Presidents, however denominated
by the Board of Directors, who may at any time perform all the duties of the
Chairman of the Board of Directors and/or the President and such other powers
and duties as may from time to time be assigned to them by the Board of
Directors, the Executive Committee, the Chairman of the Board or the President
and by the officer in charge of the department or division to which they are
assigned.

      Section 6.  The Secretary shall attend to the giving of notice of meetings
of the stockholders and the Board of Directors, as well as the Committees
thereof, to the keeping of accurate minutes of all such meetings and to
recording the same in the minute books of the Company.  In addition to the other
notice requirements of these By-Laws and as may be practicable under the
circumstances, all such notices shall be in writing and mailed well in advance
of the scheduled date of any other meeting.  He shall have custody of the
corporate seal and shall affix the same to any documents requiring such
corporate seal and to attest the same.

      Section 7.  The Treasurer shall have general supervision over all assets
and liabilities of the Company.  He shall be custodian of and responsible for
all monies, funds and valuables 

                                       6
<PAGE>
 
of the Company and for the keeping of proper records of the evidence of property
or indebtedness and of all the transactions of the Company. He shall have
general supervision of the expenditures of the Company and shall report to the
Board of Directors at each regular meeting of the condition of the Company, and
perform such other duties as may be assigned to him from time to time by the
Board of Directors of the Executive Committee.

      Section 8.  There may be a Controller who shall exercise general
supervision over the internal operations of the Company, including accounting,
and shall render to the Board of Directors at appropriate times a report
relating to the general condition and internal operations of the Company.

      There may be one or more subordinate accounting or controller officers
however denominated, who may perform the duties of the Controller and such
duties as may be prescribed by the Controller.

      Section 9.  The officer designated by the Board of Directors to be in
charge of the Audit Division of the Company with such title as the Board of
Directors shall prescribe, shall report to and be directly responsible only to
the Board of Directors.

      There shall be an Auditor and there may be one or more Audit Officers,
however denominated, who may perform all the duties of the Auditor and such
duties as may be prescribed by the officer in charge of the Audit Division.

      Section 10.  There may be one or more officers, subordinate in rank to all
Vice Presidents with such functional titles as shall be determined from time to
time by the Board of Directors, who shall ex officio hold the office Assistant
Secretary of this Company and who may perform such duties as may be prescribed
by the officer in charge of the department or division to whom they are
assigned.

      Section 11.  The powers and duties of all other officers of the Company
shall be those usually pertaining to their respective offices, subject to the
direction of the Board of Directors, the Executive Committee, Chairman of the
Board of Directors or the President and the officer in charge of the department
or division to which they are assigned.


                                 ARTICLE V
                          STOCK AND STOCK CERTIFICATES

      Section 1.  Shares of stock shall be transferrable on the books of the
Company and a transfer book shall be kept in which all transfers of stock shall
be recorded.

      Section 2.  Certificate of stock shall bear the signature of the President
or any Vice President, however denominated by the Board of Directors and
countersigned by the Secretary 

                                       7
<PAGE>
 
or Treasurer or an Assistant Secretary, and the seal of the corporation shall be
engraved thereon. Each certificate shall recite that the stock represented
thereby is transferrable only upon the books of the Company by the holder
thereof or his attorney, upon surrender of the certificate properly endorsed.
Any certificate of stock surrendered to the Company shall be cancelled at the
time of transfer, and before a new certificate or certificates shall be issued
in lieu thereof. Duplicate certificates of stock shall be issued only upon
giving such security as may be satisfactory to the Board of Directors or the
Executive Committee.

      Section 3.  The Board of Directors of the Company is authorized to fix in
advance a record date for the determination of the stockholders entitled to
notice of, and to vote at, any meeting of stockholders and any adjournment
thereof, or entitled to receive payment of any dividend, or to any allotment or
rights, or to exercise any rights in respect of any change, conversion or
exchange of capital stock, or in connection with obtaining the consent of
stockholders for any purpose, which record date shall not be more than 60 nor
less than 10 days proceeding the date of any meeting of stockholders or the date
for the payment of any dividend, or the date for the allotment of rights, or the
date when any change or conversion or exchange of capital stock shall go into
effect, or a date in connection with obtaining such consent.


                                   ARTICLE VI
                                      SEAL

      Section 1.  The corporate seal of the Company shall be in the following
form:

               Between two concentric circles the words
               "Wilmington Trust Company" within the inner
               circle the words "Wilmington, Delaware."


                                  ARTICLE VII
                                  FISCAL YEAR

      Section 1.  The fiscal year of the Company shall be the calendar year.


                                  ARTICLE VIII
                    EXECUTION OF INSTRUMENTS OF THE COMPANY

      Section 1.  The Chairman of the Board, the President or any Vice
President, however denominated by the Board of Directors, shall have full power
and authority to enter into, make, sign, execute, acknowledge and/or deliver and
the Secretary or any Assistant Secretary shall have full power and authority to
attest and affix the corporate seal of the 

                                       8
<PAGE>
 
Company to any and all deeds, conveyances, assignments, releases, contracts,
agreements, bonds, notes, mortgages and all other instruments incident to the
business of this Company or in acting as executor, administrator, guardian,
trustee, agent or in any other fiduciary or representative capacity by any and
every method of appointment or by whatever person, corporation, court officer or
authority in the State of Delaware, or elsewhere, without any specific
authority, ratification, approval or confirmation by the Board of Directors or
the Executive Committee, and any and all such instruments shall have the same
force and validity as though expressly authorized by the Board of Directors
and/or the Executive Committee.


                                   ARTICLE IX
              COMPENSATION OF DIRECTORS AND MEMBERS OF COMMITTEES

      Section 1.  Directors and associate directors of the Company, other than
salaried officers of the Company, shall be paid such reasonable honoraria or
fees for attending meetings of the Board of Directors as the Board of Directors
may from time to time determine.  Directors and associate directors who serve as
members of committees, other than salaried employees of the Company, shall be
paid such reasonable honoraria or fees for services as members of committees as
the Board of Directors shall from time to time determine and directors and
associate directors may be employed by the Company for such special services as
the Board of Directors may from time to time determine and shall be paid for
such special services so performed reasonable compensation as may be determined
by the Board of Directors.


                                   ARTICLE X
                                INDEMNIFICATION

      Section 1. (A)  The Corporation shall indemnify and hold harmless, to the
fullest extent permitted by applicable law as it presently exists or may
hereafter be amended, any person who was or is made or is threatened to be made
a party or is otherwise involved in any action, suit or proceeding, whether
civil, criminal, administrative or investigative (a "proceeding") by reason of
the fact that he, or a person for whom he is the legal representative, is or was
a director, officer, employee or agent of the Corporation or is or was serving
at the request of the Corporation as a director, officer, employee, fiduciary or
agent of another corporation or of a partnership, joint venture, trust,
enterprise or non-profit entity, including service with respect to employee
benefit plans, against all liability and loss suffered and expenses reasonably
incurred by such person.  The Corporation shall indemnify a person in connection
with a proceeding initiated by such person only if the proceeding was authorized
by the Board of Directors of the Corporation.

                 (B)  The Corporation shall pay the expenses incurred in
defending any proceeding in advance of its final disposition, provided, however,
                                                              --------  -------
that the payment of 

                                       9
<PAGE>
 
expenses incurred by a Director officer in his capacity as a Director or officer
in advance of the final disposition of the proceeding shall be made only upon
receipt of an undertaking by the Director or officer to repay all amounts
advanced if it should be ultimately determined that the Director or officer is
not entitled to be indemnified under this Article or otherwise.

                 (C)  If a claim for indemnification or payment of expenses,
under this Article X is not paid in full within ninety days after a written
claim therefor has been received by the Corporation the claimant may file suit
to recover the unpaid amount of such claim and, if successful in whole or in
part, shall be entitled to be paid the expense of prosecuting such claim. In any
such action the Corporation shall have the burden of proving that the claimant
was not entitled to the requested indemnification of payment of expenses under
applicable law.

                 (D)  The rights conferred on any person by this Article X shall
not be exclusive of any other rights which such person may have or hereafter
acquire under any statute, provision of the Charter or Act of Incorporation,
these By-Laws, agreement, vote of stockholders or disinterested Directors or
otherwise.

                 (E)  Any repeal or modification of the foregoing provisions of
this Article X shall not adversely affect any right or protection hereunder of
any person in respect of any act or omission occurring prior to the time of such
repeal or modification .


                                   ARTICLE XI
                           AMENDMENTS TO THE BY-LAWS

      Section 1.  These By-Laws may be altered, amended or repealed, in whole or
in part, and any new By-Law or By-Laws adopted at any regular or special meeting
of the Board of Directors by a vote of the majority of all the members of the
Board of Directors then in office.

                                      10
<PAGE>
 
                                                                       EXHIBIT C



                             SECTION 321(B) CONSENT


      Pursuant to Section 321(b) of the Trust Indenture Act of 1939, as amended,
Wilmington Trust Company hereby consents that reports of examinations by
Federal, State, Territorial or District authorities may be furnished by such
authorities to the Securities and Exchange Commission upon requests therefor.



                                        WILMINGTON TRUST COMPANY


Dated: September 17, 1998               By: /s/ James P. Lawler
                                        ----------------------------------
                                        Name: James P. Lawler
                                        Title: Vice President
<PAGE>
 
                                   EXHIBIT D

                                    NOTICE


          This form is intended to assist state nonmember banks and savings
          banks with state publication requirements.  It has not been approved
          by any state banking authorities.  Refer to your appropriate state
          banking authorities for your state publication requirements.


REPORT OF CONDITION
 
Consolidating domestic subsidiaries of the
 
           WILMINGTON TRUST COMPANY                         WILMINGTON
- -------------------------------------------- of --------------------------------
                 Name of Bank                 

                    City
 
in the State of  DELAWARE, at the close of business on June 30, 1998.
                 --------

<TABLE>
<CAPTION>
ASSETS
                                                                                Thousands of dollars
<S>                                                                             <C>       
Cash and balances due from depository institutions:
      Noninterest-bearing balances and currency and coins.....................          232,976
      Interest-bearing balances...............................................                0
Held-to-maturity securities...................................................          195,579
Available-for-sale securities.................................................        1,416,957
Federal funds sold and securities purchased under agreements to resell........          150,100
Loans and lease financing receivables:                                             
      Loans and leases, net of unearned income................................        3,978,706
      LESS:  Allowance for loan and lease losses..............................           63,164
      LESS:  Allocated transfer risk reserve..................................                0
      Loans and leases, net of unearned income, allowance, and reserve........        3,915,542
Assets held in trading accounts...............................................                0
Premises and fixed assets (including capitalized leases)......................          135,596
Other real estate owned.......................................................            1,696
Investments in unconsolidated subsidiaries and associated companies...........            1,066
Customers' liability to this bank on acceptances outstanding..................                0
Intangible assets.............................................................           55,759
Other assets..................................................................          103,586
Total assets..................................................................        6,208,857
</TABLE>

                                                          CONTINUED ON NEXT PAGE
<PAGE>
 
<TABLE>
<CAPTION>
<S>                                                                           <C>  
LIABILITIES
Deposits:
In domestic offices.........................................................  4,568,934
      Noninterest-bearing...................................................    838,655
      Interest-bearing......................................................  3,730,279
Federal funds purchased and Securities sold under agreements to repurchase..    418,382
Demand notes issued to the U.S. Treasury....................................     99,350
Trading liabilities (from Schedule RC-D)....................................          0
Other borrowed money:.......................................................    ///////
      With original maturity of one year or less............................    524,000
      With original maturity of more than one year..........................     43,000
Bank's liability on acceptances executed and outstanding....................          0
Subordinated notes and debentures...........................................          0
Other liabilities (from Schedule RC-G)......................................     91,728
Total liabilities...........................................................  5,745,394
 
EQUITY CAPITAL
 
Perpetual preferred stock and related surplus...............................          0
Common Stock................................................................        500
Surplus (exclude all surplus related to preferred stock)....................     62,118
Undivided profits and capital reserves......................................    394,325
Net unrealized holding gains (losses) on available-for-sale securities......      6,520
Total equity capital........................................................    463,463
Total liabilities, limited-life preferred stock, and equity capital.........  6,208,857
</TABLE>

                                       2

<PAGE>
 
                                                                    EXHIBIT 25.3


                                  Registration No.
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------

                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C.  20549

                                   FORM T-1

        STATEMENT OF ELIGIBILITY UNDER THE TRUST INDENTURE ACT OF 1939
                 OF A CORPORATION DESIGNATED TO ACT AS TRUSTEE

CHECK IF AN APPLICATION TO DETERMINE ELIGIBILITY OF A TRUSTEE PURSUANT TO
SECTION 305(B)(2) ___

                           WILMINGTON TRUST COMPANY
              (Exact name of trustee as specified in its charter)


      Delaware                                         51-0055023
(State of incorporation)                 (I.R.S. employer identification no.)

                              Rodney Square North
                           1100 North Market Street
                          Wilmington, Delaware  19890
                   (Address of principal executive offices)

                              Cynthia L. Corliss
                       Vice President and Trust Counsel
                           Wilmington Trust Company
                              Rodney Square North
                          Wilmington, Delaware  19890
                                (302) 651-8516
           (Name, address and telephone number of agent for service)

                              GREATER BAY BANCORP

              (Exact name of obligor as specified in its charter)

      California                                          77-0387041
(State of incorporation)               (I.R.S. employer identification no.)

    2860 West Bayshore Road
      Palo Alto, California                                 94303
(Address of principal executive offices)                 (Zip Code)


                 Greater Bay Bancorp Guarantee With Respect to
                          Exchange Capital Securities
                      (Title of the indenture securities)
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
<PAGE>
 
ITEM 1.   GENERAL INFORMATION.

          Furnish the following information as to the trustee:

          (a)  Name and address of each examining or supervising authority
               to which it is subject.

           Federal Deposit Insurance Co.      State Bank Commissioner
           Five Penn Center                   Dover, Delaware
           Suite #2901
           Philadelphia, PA

          (b)  Whether it is authorized to exercise corporate trust powers.

               The trustee is authorized to exercise corporate trust powers.

ITEM 2.   AFFILIATIONS WITH THE OBLIGOR.

               If the obligor is an affiliate of the trustee, describe each
     affiliation:

               Based upon an examination of the books and records of the trustee
      and upon information furnished by the obligor, the obligor is not an
      affiliate of the trustee.

ITEM 3.   LIST OF EXHIBITS.

               List below all exhibits filed as part of this Statement of
      Eligibility and Qualification.

     A.   Copy of the Charter of Wilmington Trust Company, which includes the
          certificate of authority of Wilmington Trust Company to commence
          business and the authorization of Wilmington Trust Company to exercise
          corporate trust powers.
     B.   Copy of By-Laws of Wilmington Trust Company.
     C.   Consent of Wilmington Trust Company required by Section 321(b) of
          Trust Indenture Act.
     D.   Copy of most recent Report of Condition of Wilmington Trust Company.

     Pursuant to the requirements of the Trust Indenture Act of 1939, as
amended, the trustee, Wilmington Trust Company, a corporation organized and
existing under the laws of Delaware, has duly caused this Statement of
Eligibility to be signed on its behalf by the undersigned, thereunto duly
authorized, all in the City of Wilmington and State of Delaware on the 17th day
of September, 1998.

                                         WILMINGTON TRUST COMPANY
[SEAL]
 
Attest:/s/ W. Chris Sponenberg           By:/s/ James P. Lawler
       ------------------------             -------------------
      Assistant Secretary                Name:  James P. Lawler
                                         Title: Vice President

                                       2
<PAGE>
 
                                   EXHIBIT A

                                AMENDED CHARTER

                           WILMINGTON TRUST COMPANY

                             WILMINGTON, DELAWARE

                          AS EXISTING ON MAY 9, 1987
<PAGE>
 
                                AMENDED CHARTER

                                      OR

                             ACT OF INCORPORATION

                                      OF

                           WILMINGTON TRUST COMPANY

      WILMINGTON TRUST COMPANY, originally incorporated by an Act of the General
Assembly of the State of Delaware, entitled "An Act to Incorporate the Delaware
Guarantee and Trust Company", approved March 2, A.D. 1901, and the name of which
company was changed to "WILMINGTON TRUST COMPANY" by an amendment filed in the
Office of the Secretary of State on March 18, A.D. 1903, and the Charter or Act
of Incorporation of which company has been from time to time amended and changed
by merger agreements pursuant to the corporation law for state banks and trust
companies of the State of Delaware, does hereby alter and amend its Charter or
Act of Incorporation so that the same as so altered and amended shall in its
entirety read as follows:

      FIRST: - The name of this corporation is WILMINGTON TRUST COMPANY.

      SECOND: - The location of its principal office in the State of Delaware is
      at Rodney Square North, in the City of Wilmington, County of New Castle;
      the name of its resident agent is WILMINGTON TRUST COMPANY whose address
      is Rodney Square North, in said City.  In addition to such principal
      office, the said corporation maintains and operates branch offices in the
      City of Newark, New Castle County, Delaware, the Town of Newport, New
      Castle County, Delaware, at Claymont, New Castle County, Delaware, at
      Greenville, New Castle County Delaware, and at Milford Cross Roads, New
      Castle County, Delaware, and shall be empowered to open, maintain and
      operate branch offices at Ninth and Shipley Streets, 418 Delaware Avenue,
      2120 Market Street, and 3605 Market Street, all in the City of Wilmington,
      New Castle County, Delaware, and such other branch offices or places of
      business as may be authorized from time to time by the agency or agencies
      of the government of the State of Delaware empowered to confer such
      authority.

      THIRD: - (a) The nature of the business and the objects and purposes
      proposed to be transacted, promoted or carried on by this Corporation are
      to do any or all of the things herein mentioned as fully and to the same
      extent as natural persons might or could do and in any part of the world,
      viz.:

          (1)  To sue and be sued, complain and defend in any Court of law or
          equity and to make and use a common seal, and alter the seal at
          pleasure, to hold, purchase, convey, mortgage or otherwise deal in
          real and personal estate and property, and to appoint such officers
          and agents as the business of the
<PAGE>
 
          Corporation shall require, to make by-laws not inconsistent with the
          Constitution or laws of the United States or of this State, to
          discount bills, notes or other evidences of debt, to receive deposits
          of money, or securities for money, to buy gold and silver bullion and
          foreign coins, to buy and sell bills of exchange, and generally to
          use, exercise and enjoy all the powers, rights, privileges and
          franchises incident to a corporation which are proper or necessary for
          the transaction of the business of the Corporation hereby created.

          (2)  To insure titles to real and personal property, or any estate or
          interests therein, and to guarantee the holder of such property, real
          or personal, against any claim or claims, adverse to his interest
          therein, and to prepare and give certificates of title for any lands
          or premises in the State of Delaware, or elsewhere.

          (3)  To act as factor, agent, broker or attorney in the receipt,
          collection, custody, investment and management of funds, and the
          purchase, sale, management and disposal of property of all
          descriptions, and to prepare and execute all papers which may be
          necessary or proper in such business.

          (4)  To prepare and draw agreements, contracts, deeds, leases,
          onveyances, mortgages, bonds and legal papers of every description,
          and to carry on the business of conveyancing in all its branches.

          (5)  To receive upon deposit for safekeeping money, jewelry, plate,
          deeds, bonds and any and all other personal property of every sort and
          kind, from executors, administrators, guardians, public officers,
          courts, receivers, assignees, trustees, and from all fiduciaries, and
          from all other persons and individuals, and from all corporations
          whether state, municipal, corporate or private, and to rent boxes,
          safes, vaults and other receptacles for such property.

          (6)  To act as agent or otherwise for the purpose of registering,
          issuing, certificating, countersigning, transferring or underwriting
          the stock, bonds or other obligations of any corporation, association,
          state or municipality, and may receive and manage any sinking fund
          therefor on such terms as may be agreed upon between the two parties,
          and in like manner may act as Treasurer of any corporation or
          municipality.

          (7)  To act as Trustee under any deed of trust, mortgage, bond or
          other instrument issued by any state, municipality, body politic,
          corporation, association or person, either alone or in conjunction
          with any other person or persons, corporation or corporations.

                                       2
<PAGE>
 
          (8)  To guarantee the validity, performance or effect of any contract
          or agreement, and the fidelity of persons holding places of
          responsibility or trust; to become surety for any person, or persons,
          for the faithful performance of any trust, office, duty, contract or
          agreement, either by itself or in conjunction with any other person,
          or persons, corporation, or corporations, or in like manner become
          surety upon any bond, recognizance, obligation, judgment, suit, order,
          or decree to be entered in any court of record within the State of
          Delaware or elsewhere, or which may now or hereafter be required by
          any law, judge, officer or court in the State of Delaware or
          elsewhere.

          (9)  To act by any and every method of appointment as trustee, trustee
          in bankruptcy, receiver, assignee, assignee in bankruptcy, executor,
          administrator, guardian, bailee, or in any other trust capacity in the
          receiving, holding, managing, and disposing of any and all estates and
          property, real, personal or mixed, and to be appointed as such
          trustee, trustee in bankruptcy, receiver, assignee, assignee in
          bankruptcy, executor, administrator, guardian or bailee by any
          persons, corporations, court, officer, or authority, in the State of
          Delaware or elsewhere; and whenever this Corporation is so appointed
          by any person, corporation, court, officer or authority such trustee,
          trustee in bankruptcy, receiver, assignee, assignee in bankruptcy,
          executor, administrator, guardian, bailee, or in any other trust
          capacity, it shall not be required to give bond with surety, but its
          capital stock shall be taken and held as security for the performance
          of the duties devolving upon it by such appointment.

          (10) And for its care, management and trouble, and the exercise of any
          of its powers hereby given, or for the performance of any of the
          duties which it may undertake or be called upon to perform, or for the
          assumption of any responsibility the said Corporation may be entitled
          to receive a proper compensation.

          (11) To purchase, receive, hold and own bonds, mortgages, debentures,
          shares of capital stock, and other securities, obligations, contracts
          and evidences of indebtedness, of any private, public or municipal
          corporation within and without the State of Delaware, or of the
          Government of the United States, or of any state, territory, colony,
          or possession thereof, or of any foreign government or country; to
          receive, collect, receipt for, and dispose of interest, dividends and
          income upon and from any of the bonds, mortgages, debentures, notes,
          shares of capital stock, securities, obligations, contracts, evidences
          of indebtedness and other property held and owned by it, and to
          exercise in respect of all such bonds, mortgages, debentures, notes,
          shares of capital stock, securities, obligations, contracts, evidences
          of indebtedness and other property, any and all the rights, powers and
          privileges of individual

                                       3
<PAGE>
 
          owners thereof, including the right to vote thereon; to invest and
          deal in and with any of the moneys of the Corporation upon such
          securities and in such manner as it may think fit and proper, and from
          time to time to vary or realize such investments; to issue bonds and
          secure the same by pledges or deeds of trust or mortgages of or upon
          the whole or any part of the property held or owned by the
          Corporation, and to sell and pledge such bonds, as and when the Board
          of Directors shall determine, and in the promotion of its said
          corporate business of investment and to the extent authorized by law,
          to lease, purchase, hold, sell, assign, transfer, pledge, mortgage and
          convey real and personal property of any name and nature and any
          estate or interest therein.

     (b)  In furtherance of, and not in limitation, of the powers conferred by
     the laws of the State of Delaware, it is hereby expressly provided that
     said Corporation shall also have the following powers:

          (1)  To do any or all of the things herein set forth, to the same
          extent as natural persons might or could do, and in any part of the
          world.

          (2)  To acquire the good will, rights, property and franchises and to
          undertake the whole or any part of the assets and liabilities of any
          person, firm, association or corporation, and to pay for the same in
          cash, stock of this Corporation, bonds or otherwise; to hold or in any
          manner to dispose of the whole or any part of the property so
          purchased; to conduct in any lawful manner the whole or any part of
          any business so acquired, and to exercise all the powers necessary or
          convenient in and about the conduct and management of such business.

          (3)  To take, hold, own, deal in, mortgage or otherwise lien, and to
          lease, sell, exchange, transfer, or in any manner whatever dispose of
          property, real, personal or mixed, wherever situated.

          (4)  To enter into, make, perform and carry out contracts of every
          kind with any person, firm, association or corporation, and, without
          limit as to amount, to draw, make, accept, endorse, discount, execute
          and issue promissory notes, drafts, bills of exchange, warrants,
          bonds, debentures, and other negotiable or transferable instruments.

          (5)  To have one or more offices, to carry on all or any of its
          operations and businesses, without restriction to the same extent as
          natural persons might or could do, to purchase or otherwise acquire,
          to hold, own, to mortgage, sell, convey or otherwise dispose of, real
          and personal property, of every class and description, in any State,
          District, Territory or Colony of the United States, and in any foreign
          country or place.

                                       4
<PAGE>
 
          (6)  It is the intention that the objects, purposes and powers
          specified and clauses contained in this paragraph shall (except where
          otherwise expressed in said paragraph) be nowise limited or restricted
          by reference to or inference from the terms of any other clause of
          this or any other paragraph in this charter, but that the objects,
          purposes and powers specified in each of the clauses of this paragraph
          shall be regarded as independent objects, purposes and powers.

      FOURTH: - (a)  The total number of shares of all classes of stock which
      the Corporation shall have authority to issue is forty-one million
      (41,000,000) shares, consisting of:

          (1)  One million (1,000,000) shares of Preferred stock, par value
          $10.00 per share (hereinafter referred to as "Preferred Stock"); and

          (2)  Forty million (40,000,000) shares of Common Stock, par value
          $1.00 per share (hereinafter referred to as "Common Stock").

     (b)  Shares of Preferred Stock may be issued from time to time in one or
     more series as may from time to time be determined by the Board of
     Directors each of said series to be distinctly designated. All shares of
     any one series of Preferred Stock shall be alike in every particular,
     except that there may be different dates from which dividends, if any,
     thereon shall be cumulative, if made cumulative. The voting powers and the
     preferences and relative, participating, optional and other special rights
     of each such series, and the qualifications, limitations or restrictions
     thereof, if any, may differ from those of any and all other series at any
     time outstanding; and, subject to the provisions of subparagraph 1 of
     Paragraph (c) of this Article FOURTH, the Board of Directors of the
     Corporation is hereby expressly granted authority to fix by resolution or
     resolutions adopted prior to the issuance of any shares of a particular
     series of Preferred Stock, the voting powers and the designations,
     preferences and relative, optional and other special rights, and the
     qualifications, limitations and restrictions of such series, including, but
     without limiting the generality of the foregoing, the following:

          (1)  The distinctive designation of, and the number of shares of
          Preferred Stock which shall constitute such series, which number may
          be increased (except where otherwise provided by the Board of
          Directors) or decreased (but not below the number of shares thereof
          then outstanding) from time to time by like action of the Board of
          Directors;

          (2)  The rate and times at which, and the terms and conditions on
          dividends, if any, on Preferred Stock of such series shall be paid,
          the extent of the preference or relation, if any, of such dividends to
          the dividends payable 
                                       5
<PAGE>
 
          on any other class or classes, or series series of the same or
          other class of stock and whether such dividends shall be cumulative or
          non-cumulative;

          (3)  The right, if any, of the holders of Preferred Stock of such
          series to convert the same into or exchange the same for, shares of
          any other class or classes or of any series of the same or any other
          class or classes of stock of the Corporation and the terms and
          conditions of such conversion or exchange;

          (4)  Whether or not Preferred Stock of such series shall be subject to
          redemption, and the redemption price or prices and the time or times
          at which, and the terms and conditions on which, Preferred Stock of
          such series may be redeemed.

          (5)  The rights, if any, of the holders of Preferred Stock of such
          series upon the voluntary or involuntary liquidation, merger,
          consolidation, distribution or sale of assets, dissolution or winding-
          up, of the Corporation.

          (6)  The terms of the sinking fund or redemption or purchase account,
          if any, to be provided for the Preferred Stock of such series; and

          (7)  The voting powers, if any, of the holders of such series of
          Preferred Stock which may, without limiting the generality of the
          foregoing include the right, voting as a series or by itself or
          together with other series of Preferred Stock or all series of
          Preferred Stock as a class, to elect one or more directors of the
          Corporation if there shall have been a default in the payment of
          dividends on any one or more series of Preferred Stock or under such
          circumstances and on such conditions as the Board of Directors may
          determine.

     (c)  (1)  After the requirements with respect to preferential dividends on
     the Preferred Stock (fixed in accordance with the provisions of section (b)
     of this Article FOURTH), if any, shall have been met and after the
     Corporation shall have complied with all the requirements, if any, with
     respect to the setting aside of sums as sinking funds or redemption or
     purchase accounts (fixed in accordance with the provisions of section (b)
     of this Article FOURTH), and subject further to any conditions which may be
     fixed in accordance with the provisions of section (b) of this Article
     FOURTH, then and not otherwise the holders of Common Stock shall be
     entitled to receive such dividends as may be declared from time to time by
     the Board of Directors.

          (2)  After distribution in full of the preferential amount, if any,
          (fixed in accordance with the provisions of section (b) of this
          Article FOURTH), to be distributed to the holders of Preferred Stock
          in the event of voluntary or involuntary liquidation, distribution or
          sale of assets, dissolution or winding-up, of the Corporation, the
          holders of the Common Stock shall be entitled to 

                                       6
<PAGE>
 
          receive all of the remaining assets of the Corporation, tangible and
          intangible, of whatever kind available for distribution to
          stockholders ratably in proportion to the number of shares of Common
          Stock held by them respectively.

          (3)  Except as may otherwise be required by law or by the provisions
          of such resolution or resolutions as may be adopted by the Board of
          Directors pursuant to section (b) of this Article FOURTH, each holder
          of Common Stock shall have one vote in respect of each share of Common
          Stock held on all matters voted upon by the stockholders.

     (d)  No holder of any of the shares of any class or series of stock or of
     options, warrants or other rights to purchase shares of any class or series
     of stock or of other securities of the Corporation shall have any
     preemptive right to purchase or subscribe for any unissued stock of any
     class or series or any additional shares of any class or series to be
     issued by reason of any increase of the authorized capital stock of the
     Corporation of any class or series, or bonds, certificates of indebtedness,
     debentures or other securities convertible into or exchangeable for stock
     of the Corporation of any class or series, or carrying any right to
     purchase stock of any class or series, but any such unissued stock,
     additional authorized issue of shares of any class or series of stock or
     securities convertible into or exchangeable for stock, or carrying any
     right to purchase stock, may be issued and disposed of pursuant to
     resolution of the Board of Directors to such persons, firms, corporations
     or associations, whether such holders or others, and upon such terms as may
     be deemed advisable by the Board of Directors in the exercise of its sole
     discretion.

     (e) The relative powers, preferences and rights of each series of Preferred
     Stock in relation to the relative powers, preferences and rights of each
     other series of Preferred Stock shall, in each case, be as fixed from time
     to time by the Board of Directors in the resolution or resolutions adopted
     pursuant to authority granted in section (b) of this Article FOURTH and the
     consent, by class or series vote or otherwise, of the holders of such of
     the series of Preferred Stock as are from time to time outstanding shall
     not be required for the issuance by the Board of Directors of any other
     series of Preferred Stock whether or not the powers, preferences and rights
     of such other series shall be fixed by the Board of Directors as senior to,
     or on a parity with, the powers, preferences and rights of such outstanding
     series, or any of them; provided, however, that the Board of Directors may
     provide in the resolution or resolutions as to any series of Preferred
     Stock adopted pursuant to section (b) of this Article FOURTH that the
     consent of the holders of a majority (or such greater proportion as shall
     be therein fixed) of the outstanding shares of such series voting thereon
     shall be required for the issuance of any or all other series of Preferred
     Stock.

                                       7
<PAGE>
 
     (f)  Subject to the provisions of section (e), shares of any series of
     Preferred Stock may be issued from time to time as the Board of Directors
     of the Corporation shall determine and on such terms and for such
     consideration as shall be fixed by the Board of Directors.

     (g)  Shares of Common Stock may be issued from time to time as the Board of
     Directors of the Corporation shall determine and on such terms and for such
     consideration as shall be fixed by the Board of Directors.

     (h)  The authorized amount of shares of Common Stock and of Preferred Stock
     may, without a class or series vote, be increased or decreased from time to
     time by the affirmative vote of the holders of a majority of the stock of
     the Corporation entitled to vote thereon.

     FIFTH: - (a)  The business and affairs of the Corporation shall be
     conducted and managed by a Board of Directors.  The number of directors
     constituting the entire Board shall be not less than five nor more than
     twenty-five as fixed from time to time by vote of a majority of the whole
     Board, provided, however, that the number of directors shall not be
     reduced so as to shorten the term of any director at the time in office,
     and provided further, that the number of directors constituting the whole
     Board shall be twenty-four until otherwise fixed by a majority of the
     whole Board.

     (b)  The Board of Directors shall be divided into three classes, as nearly
     equal in number as the then total number of directors constituting the
     whole Board permits, with the term of office of one class expiring each
     year. At the annual meeting of stockholders in 1982, directors of the first
     class shall be elected to hold office for a term expiring at the next
     succeeding annual meeting, directors of the second class shall be elected
     to hold office for a term expiring at the second succeeding annual meeting
     and directors of the third class shall be elected to hold office for a term
     expiring at the third succeeding annual meeting. Any vacancies in the Board
     of Directors for any reason, and any newly created directorships resulting
     from any increase in the directors, may be filled by the Board of
     Directors, acting by a majority of the directors then in office, although
     less than a quorum, and any directors so chosen shall hold office until the
     next annual election of directors. At such election, the stockholders shall
     elect a successor to such director to hold office until the next election
     of the class for which such director shall have been chosen and until his
     successor shall be elected and qualified. No decrease in the number of
     directors shall shorten the term of any incumbent director.

     (c)  Notwithstanding any other provisions of this Charter or Act of
     Incorporation or the By-Laws of the Corporation (and notwithstanding the
     fact that some lesser percentage may be specified by law, this Charter or
     Act of Incorporation or the By-Laws of the Corporation), any director or
     the entire Board of Directors of the

                                       8
<PAGE>
 
     Corporation may be removed at any time without cause, but only by the
     affirmative vote of the holders of two-thirds or more of the outstanding
     shares of capital stock of the Corporation entitled to vote generally in
     the election of directors (considered for this purpose as one class) cast
     at a meeting of the stockholders called for that purpose.

     (d)  Nominations for the election of directors may be made by the Board of
     Directors or by any stockholder entitled to vote for the election of
     directors. Such nominations shall be made by notice in writing, delivered
     or mailed by first class United States mail, postage prepaid, to the
     Secretary of the Corporation not less than 14 days nor more than 50 days
     prior to any meeting of the stockholders called for the election of
     directors; provided, however, that if less than 21 days' notice of the
     meeting is given to stockholders, such written notice shall be delivered or
     mailed, as prescribed, to the Secretary of the Corporation not later than
     the close of the seventh day following the day on which notice of the
     meeting was mailed to stockholders. Notice of nominations which are
     proposed by the Board of Directors shall be given by the Chairman on behalf
     of the Board.

     (e)  Each notice under subsection (d) shall set forth (i) the name, age,
     business address and, if known, residence address of each nominee proposed
     in such notice, (ii) the principal occupation or employment of such nominee
     and (iii) the number of shares of stock of the Corporation which are
     beneficially owned by each such nominee.

     (f)  The Chairman of the meeting may, if the facts warrant, determine and
     declare to the meeting that a nomination was not made in accordance with
     the foregoing procedure, and if he should so determine, he shall so declare
     to the meeting and the defective nomination shall be disregarded.

     (g)  No action required to be taken or which may be taken at any annual or
      special meeting of stockholders of the Corporation may be taken without a
      meeting, and the power of stockholders to consent in writing, without a
      meeting, to the taking of any action is specifically denied.

      SIXTH: - The Directors shall choose such officers, agent and servants as
      may be provided in the By-Laws as they may from time to time find
      necessary or proper.

     SEVENTH: - The Corporation hereby created is hereby given the same powers,
     rights and privileges as may be conferred upon corporations organized under
     the Act entitled "An Act Providing a General Corporation Law", approved
     March 10, 1899, as from time to time amended.

     EIGHTH: - This Act shall be deemed and taken to be a private Act.

                                       9
<PAGE>
 
      NINTH: - This Corporation is to have perpetual existence.

      TENTH: - The Board of Directors, by resolution passed by a majority of the
      whole Board, may designate any of their number to constitute an Executive
      Committee, which Committee, to the extent provided in said resolution, or
      in the By-Laws of the Company, shall have and may exercise all of the
      powers of the Board of Directors in the management of the business and
      affairs of the Corporation, and shall have power to authorize the seal of
      the Corporation to be affixed to all papers which may require it.

      ELEVENTH: - The private property of the stockholders shall not be liable
      for the payment of corporate debts to any extent whatever.

      TWELFTH: - The Corporation may transact business in any part of the world.

      THIRTEENTH: - The Board of Directors of the Corporation is expressly
      authorized to make, alter or repeal the By-Laws of the Corporation by a
      vote of the majority of the entire Board.  The stockholders may make,
      alter or repeal any By-Law whether or not adopted by them, provided
      however, that any such additional By-Laws, alterations or repeal may be
      adopted only by the affirmative vote of the holders of two-thirds or more
      of the outstanding shares of capital stock of the Corporation entitled to
      vote generally in the election of directors (considered for this purpose
      as one class).

      FOURTEENTH: - Meetings of the Directors may be held outside

      of the State of Delaware at such places as may be from time to time
      designated by the Board, and the Directors may keep the books of the
      Company outside of the State of Delaware at such places as may be from
      time to time designated by them.

      FIFTEENTH: - (a) In addition to any affirmative vote required by law, and
      except as otherwise expressly provided in sections (b) and (c) of this
      Article FIFTEENTH:

          (A)  any merger or consolidation of the Corporation or any Subsidiary
          (as hereinafter defined) with or into (i) any Interested Stockholder
          (as hereinafter defined) or (ii) any other corporation (whether or
          not itself an Interested Stockholder), which, after such merger or
          consolidation, would be an Affiliate (as hereinafter defined) of an
          Interested Stockholder, or

          (B)  any sale, lease, exchange, mortgage, pledge, transfer or other
          disposition (in one transaction or a series of related transactions)
          to or with any Interested Stockholder or any Affiliate of any
          Interested Stockholder of any assets of the Corporation or any
          Subsidiary having an aggregate fair market value of $1,000,000 or
          more, or

                                      10
<PAGE>
 
          (C)  the issuance or transfer by the Corporation or any Subsidiary
          (in one transaction or a series of related transactions) of any
          securities of the Corporation or any Subsidiary to any Interested
          Stockholder or any Affiliate of any Interested Stockholder in
          exchange for cash, securities or other property (or a combination
          thereof) having an aggregate fair market value of $1,000,000 or more,
          or

          (D)  the adoption of any plan or proposal for the liquidation or
          dissolution of the Corporation, or

          (E)  any reclassification of securities (including any reverse stock
          split), or recapitalization of the Corporation, or any merger or
          consolidation of the Corporation with any of its Subsidiaries or any
          similar transaction (whether or not with or into or otherwise
          involving an Interested Stockholder) which has the effect, directly
          or indirectly, of increasing the proportionate share of the
          outstanding shares of any class of equity or convertible securities
          of the Corporation or any Subsidiary which is directly or indirectly
          owned by any Interested Stockholder, or any Affiliate of any
          Interested Stockholder,

shall require the affirmative vote of the holders of at least  two-thirds of the
outstanding shares of capital stock of the Corporation entitled to vote
generally in the election of directors, considered for the purpose of this
Article FIFTEENTH as one class ("Voting Shares").  Such affirmative vote shall
be required notwithstanding the fact that no vote may be required, or that some
lesser percentage may be specified, by law or in any agreement with any national
securities exchange or otherwise.

               (2) The term "business combination" as used in this Article
               FIFTEENTH shall mean any transaction which is referred to any one
               or more of clauses (A) through (E) of paragraph 1 of the section
               (a).

          (b)  The provisions of section (a) of this Article FIFTEENTH shall not
          be applicable to any particular business combination and such business
          combination shall require only such affirmative vote as is required by
          law and any other provisions of the Charter or Act of Incorporation of
          By-Laws if such business combination has been approved by a majority
          of the whole Board.

          (c)  For the purposes of this Article FIFTEENTH:

     (1)  A "person" shall mean any individual firm, corporation or other
     entity.

     (2)  "Interested Stockholder" shall mean, in respect of any business
     combination, any person (other than the Corporation or any Subsidiary) who
     or which as of the record date for the determination of stockholders
     entitled to notice of and to vote on such

                                      11
<PAGE>
 
     business combination, or immediately prior to the consummation of any such
     transaction:

          (A)  is the beneficial owner, directly or indirectly, of more than
          10% of the Voting Shares, or

          (B)  is an Affiliate of the Corporation and at any time within two
          years prior thereto was the beneficial owner, directly or indirectly,
          of not less than 10% of the then outstanding voting Shares, or

          (C)  is an assignee of or has otherwise succeeded in any share of
          capital stock of the Corporation which were at any time within two
          years prior thereto beneficially owned by any Interested Stockholder,
          and such assignment or succession shall have occurred in the course
          of a transaction or series of transactions not involving a public
          offering within the meaning of the Securities Act of 1933.

     (3)  A person shall be the "beneficial owner" of any Voting Shares:

          (A)  which such person or any of its Affiliates and Associates (as
          hereafter defined) beneficially own, directly or indirectly, or

          (B)  which such person or any of its Affiliates or Associates has (i)
          the right to acquire (whether such right is exercisable immediately
          or only after the passage of time), pursuant to any agreement,
          arrangement or understanding or upon the exercise of conversion
          rights, exchange rights, warrants or options, or otherwise, or (ii)
          the right to vote pursuant to any agreement, arrangement or
          understanding, or

          (C)  which are beneficially owned, directly or indirectly, by any
          other person with which such first mentioned person or any of its
          Affiliates or Associates has any agreement, arrangement or
          understanding for the purpose of acquiring, holding, voting or
          disposing of any shares of capital stock of the Corporation.

     (4)  The outstanding Voting Shares shall include shares deemed owned
     through application of paragraph (3) above but shall not include any other
     Voting Shares which may be issuable pursuant to any agreement, or upon
     exercise of conversion rights, warrants or options or otherwise.

     (5)  "Affiliate" and "Associate" shall have the respective meanings given
     those terms in Rule 12b-2 of the General Rules and Regulations under the
     Securities Exchange Act of 1934, as in effect on December 31, 1981.

                                      12
<PAGE>
 
     (6)  "Subsidiary" shall mean any corporation of which a majority of any
     class of equity security (as defined in Rule 3a11-1 of the General Rules
     and Regulations under the Securities Exchange Act of 1934, as in effect in
     December 31, 1981) is owned, directly or indirectly, by the Corporation;
     provided, however, that for the purposes of the definition of Investment
     Stockholder set forth in paragraph (2) of this section (c), the term
     "Subsidiary" shall mean only a corporation of which a majority of each
     class of equity security is owned, directly or indirectly, by the
     Corporation.

          (d)  majority of the directors shall have the power and duty to
          determine for the purposes of this Article FIFTEENTH on the basis of
          information known to them, (1) the number of Voting Shares
          beneficially owned by any person (2) whether a person is an Affiliate
          or Associate of another, (3) whether a person has an agreement,
          arrangement or understanding with another as to the matters referred
          to in paragraph (3) of section (c), or (4) whether the assets subject
          to any business combination or the consideration received for the
          issuance or transfer of securities by the Corporation, or any
          Subsidiary has an aggregate fair market value of $1,000,000 or more.

          (e)  Nothing contained in this Article FIFTEENTH shall be construed
          to relieve any Interested Stockholder from any fiduciary obligation
          imposed by law.

     SIXTEENTH:   Notwithstanding any other provision of this Charter or Act of
     Incorporation or the By-Laws of the Corporation (and in addition to any
     other vote that may be required by law, this Charter or Act of
     Incorporation by the By-Laws), the affirmative vote of the holders of at
     least two-thirds of the outstanding shares of the capital stock of the
     Corporation entitled to vote generally in the election of directors
     (considered for this purpose as one class) shall be required to amend,
     alter or repeal any provision of Articles FIFTH, THIRTEENTH, FIFTEENTH or
     SIXTEENTH of this Charter or Act of Incorporation.

     SEVENTEENTH: (a) a Director of this Corporation shall not be liable to the
     Corporation or its stockholders for monetary damages for breach of
     fiduciary duty as a Director, except to the extent such exemption from
     liability or limitation thereof is not permitted under the Delaware General
     Corporation Laws as the same exists or may hereafter be amended.

          (b) Any repeal or modification of the foregoing paragraph shall not
          adversely affect any right or protection of a Director of the
          Corporation existing hereunder with respect to any act or omission
          occurring prior to the time of such repeal or modification."

                                      13
<PAGE>
 
                                   EXHIBIT B

                                    BY-LAWS

                            WILMINGTON TRUST COMPANY

                              WILMINGTON, DELAWARE

                        AS EXISTING ON JANUARY 16, 1997
<PAGE>
 
                      BY-LAWS OF WILMINGTON TRUST COMPANY


                                   ARTICLE I
                             STOCKHOLDERS' MEETINGS

      Section 1.  The Annual Meeting of Stockholders shall be held on the third
Thursday in April each year at the principal office at the Company or at such
other date, time, or place as may be designated by resolution by the Board of
Directors.

      Section 2.  Special meetings of all stockholders may be called at any time
by the Board of Directors, the Chairman of the Board or the President.

      Section 3.  Notice of all meetings of the stockholders shall be given by
mailing to each stockholder at least ten (10) days before said meeting, at his
last known address, a written or printed notice fixing the time and place of
such meeting.

      Section 4.  A majority in the amount of the capital stock of the Company
issued and outstanding on the record date, as herein determined, shall
constitute a quorum at all meetings of stockholders for the transaction of any
business, but the holders of a small number of shares may adjourn, from time to
time, without further notice, until a quorum is secured.  At each annual or
special meeting of stockholders, each stockholder shall be entitled to one vote,
either in person or by proxy, for each shares of stock registered in the
stockholder's name on the books of the Company on the record date for any such
meeting as determined herein.


                                   ARTICLE II
                                   DIRECTORS

      Section 1.  The number and classification of the Board of Directors shall
be as set forth in the Charter of the Bank.

      Section 2.  No person who has attained the age of seventy-two (72) years
shall be nominated for election to the Board of Directors of the Company,
provided, however, that this limitation shall not apply to any person who was
serving as director of the Company on September 16, 1971.

      Section 3.  The class of Directors so elected shall hold office for three
years or until their successors are elected and qualified.

      Section 4.  The affairs and business of the Company shall be managed and
conducted by the Board of Directors.
<PAGE>
 
      Section 5.  The Board of Directors shall meet at the principal office of
the Company or elsewhere in its discretion at such times to be determined by a
majority of its members, or at the call of the Chairman of the Board of
Directors or the President.

      Section 6.  Special meetings of the Board of Directors may be called at
any time by the Chairman of the Board of Directors or by the President, and
shall be called upon the written request of a majority of the directors.

      Section 7.  A majority of the directors elected and qualified shall be
necessary to constitute a quorum for the transaction of business at any meeting
of the Board of Directors.

      Section 8.  Written notice shall be sent by mail to each director of any
special meeting of the Board of Directors, and of any change in the time or
place of any regular meeting, stating the time and place of such meeting, which
shall be mailed not less than two days before the time of holding such meeting.

      Section 9.  In the event of the death, resignation, removal, inability to
act, or disqualification of any director, the Board of Directors, although less
than a quorum, shall have the right to elect the successor who shall hold office
for the remainder of the full term of the class of directors in which the
vacancy occurred, and until such director's successor shall have been duly
elected and qualified.

      Section 10.  The Board of Directors at its first meeting after its
election by the stockholders shall appoint an Executive Committee, a Trust
Committee, an Audit Committee and a Compensation Committee, and shall elect from
its own members a Chairman of the Board of Directors and a President who may be
the same person.  The Board of Directors shall also elect at such meeting a
Secretary and a Treasurer, who may be the same person, may appoint at any time
such other committees and elect or appoint such other officers as it may deem
advisable.  The Board of Directors may also elect at such meeting one or more
Associate Directors.

      Section 11.  The Board of Directors may at any time remove, with or
without cause, any member of any Committee appointed by it or any associate
director or officer elected by it and may appoint or elect his successor.

      Section 12.  The Board of Directors may designate an officer to be in
charge of such of the departments or division of the Company as it may deem
advisable.

                                       2
<PAGE>
 
                                  ARTICLE III
                                  COMMITTEES

      Section 1.  Executive Committee

               (A)  The Executive Committee shall be composed of not more than
nine members who shall be selected by the Board of Directors from its own
members and who shall hold office during the pleasure of the Board.

               (B)  The Executive Committee shall have all the powers of the
Board of Directors when it is not in session to transact all business for and in
behalf of the Company that may be brought before it.

               (C)  The Executive Committee shall meet at the principal office
of the Company or elsewhere in its discretion at such times to be determined by
a majority of its members, or at the call of the Chairman of the Executive
Committee or at the call of the Chairman of the Board of Directors. The majority
of its members shall be necessary to constitute a quorum for the transaction of
business. Special meetings of the Executive Committee may be held at any time
when a quorum is present.

               (D)  Minutes of each meeting of the Executive Committee shall be
kept and submitted to the Board of Directors at its next meeting. (E) The
Executive Committee shall advise and superintend all investments that may be
made of the funds of the Company, and shall direct the disposal of the same, in
accordance with such rules and regulations as the Board of Directors from time
to time make.

               (F)  In the event of a state of disaster of sufficient severity
to prevent the conduct and management of the affairs and business of the Company
by its directors and officers as contemplated by these By-Laws any two available
members of the Executive Committee as constituted immediately prior to such
disaster shall constitute a quorum of that Committee for the full conduct and
management of the affairs and business of the Company in accordance with the
provisions of Article III of these By-Laws; and if less than three members of
the Trust Committee is constituted immediately prior to such disaster shall be
available for the transaction of its business, such Executive Committee shall
also be empowered to exercise all of the powers reserved to the Trust Committee
under Article III Section 2 hereof. In the event of the unavailability, at such
time, of a minimum of two members of such Executive Committee, any three
available directors shall constitute the Executive Committee for the full
conduct and management of the affairs and business of the Company in accordance
with the foregoing provisions of this Section. This By-Law shall be subject to
implementation by Resolutions of the Board of Directors presently existing or
hereafter passed from time to time for that purpose, and any provisions of these
By-Laws (other than this Section) and any resolutions which are contrary to the
provisions of this Section or to the provisions of any such 

                                       3
<PAGE>
 
implementary Resolutions shall be suspended during such a disaster period until
it shall be determined by any interim Executive Committee acting under this
section that it shall be to the advantage of the Company to resume the conduct
and management of its affairs and business under all of the other provisions of
these By-Laws.

      Section 2.  Trust Committee
 
               (A)  The Trust Committee shall be composed of not more than
thirteen members who shall be selected by the Board of Directors, a majority of
whom shall be members of the Board of Directors and who shall hold office during
the pleasure of the Board.

               (B)  The Trust Committee shall have general supervision over the
Trust Department and the investment of trust funds, in all matters, however,
being subject to the approval of the Board of Directors.

               (C)  The Trust Committee shall meet at the principal office of
the Company or elsewhere in its discretion at such times to be determined by a
majority of its members or at the call of its chairman. A majority of its
members shall be necessary to constitute a quorum for the transaction of
business.

               (D)  Minutes of each meeting of the Trust Committee shall be kept
and promptly submitted to the Board of Directors.
 
               (E)  The Trust Committee shall have the power to appoint
Committees and/or designate officers or employees of the Company to whom
supervision over the investment of trust funds may be delegated when the Trust
Committee is not in session.

      Section 3.  Audit Committee

               (A)  The Audit Committee shall be composed of five members who
shall be selected by the Board of Directors from its own members, none of whom
shall be an officer of the Company, and shall hold office at the pleasure of the
Board.

               (B)  The Audit Committee shall have general supervision over the
Audit Division in all matters however subject to the approval of the Board of
Directors; it shall consider all matters brought to its attention by the officer
in charge of the Audit Division, review all reports of examination of the
Company made by any governmental agency or such independent auditor employed for
that purpose, and make such recommendations to the Board of Directors with
respect thereto or with respect to any other matters pertaining to auditing the
Company as it shall deem desirable.

                                       4
<PAGE>
 
               (C)  The Audit Committee shall meet whenever and wherever the
majority of its members shall deem it to be proper for the transaction of its
business, and a majority of its Committee shall constitute a quorum.

      Section 4.  Compensation Committee

               (A)  The Compensation Committee shall be composed of not more
than five (5) members who shall be selected by the Board of Directors from its
own members who are not officers of the Company and who shall hold office during
the pleasure of the Board.

               (B)  The Compensation Committee shall in general advise upon all
matters of policy concerning the Company brought to its attention by the
management and from time to time review the management of the Company, major
organizational matters, including salaries and employee benefits and
specifically shall administer the Executive Incentive Compensation Plan.

               (C)  Meetings of the Compensation Committee may be called at any
time by the Chairman of the Compensation Committee, the Chairman of the Board of
Directors, or the President of the Company.

      Section 5.  Associate Directors

               (A)  Any person who has served as a director may be elected by
the Board of Directors as an associate director, to serve during the pleasure of
the Board.

               (B)  An associate director shall be entitled to attend all
directors meetings and participate in the discussion of all matters brought to
the Board, with the exception that he would have no right to vote. An associate
director will be eligible for appointment to Committees of the Company, with the
exception of the Executive Committee, Audit Committee and Compensation
Committee, which must be comprised solely of active directors.

      Section 6.  Absence or Disqualification of Any Member of a Committee

               (A)  In the absence or disqualification of any member of any
Committee created under Article III of the By-Laws of this Company, the member
or members thereof present at any meeting and not disqualified from voting,
whether or not he or they constitute a quorum, may unanimously appoint another
member of the Board of Directors to act at the meeting in the place of any such
absence or disqualified member.

                                       5
<PAGE>
 
                                   ARTICLE IV
                                    OFFICERS

      Section 1.  The Chairman of the Board of Directors shall preside at all
meetings of the Board and shall have such further authority and powers and shall
perform such duties as the Board of Directors may from time to time confer and
direct.  He shall also exercise such powers and perform such duties as may from
time to time be agreed upon between himself and the President of the Company.

      Section 2.  The Vice Chairman of the Board.  The Vice Chairman of the
                  -------------------------------                          
Board of Directors shall preside at all meetings of the Board of Directors at
which the Chairman of the Board shall not be present and shall have such further
authority and powers and shall perform such duties as the Board of Directors or
the Chairman of the Board may from time to time confer and direct.

      Section 3.  The President shall have the powers and duties pertaining to
the office of the President conferred or imposed upon him by statute or assigned
to him by the Board of Directors in the absence of the Chairman of the Board the
President shall have the powers and duties of the Chairman of the Board.

      Section 4.  The Chairman of the Board of Directors or the President as
designated by the Board of Directors, shall carry into effect all legal
directions of the Executive Committee and of the Board of Directors, and shall
at all times exercise general supervision over the interest, affairs and
operations of the Company and perform all duties incident to his office.

      Section 5.  There may be one or more Vice Presidents, however denominated
by the Board of Directors, who may at any time perform all the duties of the
Chairman of the Board of Directors and/or the President and such other powers
and duties as may from time to time be assigned to them by the Board of
Directors, the Executive Committee, the Chairman of the Board or the President
and by the officer in charge of the department or division to which they are
assigned.

      Section 6.  The Secretary shall attend to the giving of notice of meetings
of the stockholders and the Board of Directors, as well as the Committees
thereof, to the keeping of accurate minutes of all such meetings and to
recording the same in the minute books of the Company.  In addition to the other
notice requirements of these By-Laws and as may be practicable under the
circumstances, all such notices shall be in writing and mailed well in advance
of the scheduled date of any other meeting.  He shall have custody of the
corporate seal and shall affix the same to any documents requiring such
corporate seal and to attest the same.

      Section 7.  The Treasurer shall have general supervision over all assets
and liabilities of the Company.  He shall be custodian of and responsible for
all monies, funds and valuables 

                                       6
<PAGE>
 
of the Company and for the keeping of proper records of the evidence of property
or indebtedness and of all the transactions of the Company. He shall have
general supervision of the expenditures of the Company and shall report to the
Board of Directors at each regular meeting of the condition of the Company, and
perform such other duties as may be assigned to him from time to time by the
Board of Directors of the Executive Committee.

      Section 8.  There may be a Controller who shall exercise general
supervision over the internal operations of the Company, including accounting,
and shall render to the Board of Directors at appropriate times a report
relating to the general condition and internal operations of the Company.

      There may be one or more subordinate accounting or controller officers
however denominated, who may perform the duties of the Controller and such
duties as may be prescribed by the Controller.

      Section 9.  The officer designated by the Board of Directors to be in
charge of the Audit Division of the Company with such title as the Board of
Directors shall prescribe, shall report to and be directly responsible only to
the Board of Directors.

      There shall be an Auditor and there may be one or more Audit Officers,
however denominated, who may perform all the duties of the Auditor and such
duties as may be prescribed by the officer in charge of the Audit Division.

      Section 10.  There may be one or more officers, subordinate in rank to all
Vice Presidents with such functional titles as shall be determined from time to
time by the Board of Directors, who shall ex officio hold the office Assistant
Secretary of this Company and who may perform such duties as may be prescribed
by the officer in charge of the department or division to whom they are
assigned.

      Section 11.  The powers and duties of all other officers of the Company
shall be those usually pertaining to their respective offices, subject to the
direction of the Board of Directors, the Executive Committee, Chairman of the
Board of Directors or the President and the officer in charge of the department
or division to which they are assigned.


                                 ARTICLE V
                          STOCK AND STOCK CERTIFICATES

      Section 1.  Shares of stock shall be transferrable on the books of the
Company and a transfer book shall be kept in which all transfers of stock shall
be recorded.

      Section 2.  Certificate of stock shall bear the signature of the President
or any Vice President, however denominated by the Board of Directors and
countersigned by the Secretary 

                                       7
<PAGE>
 
or Treasurer or an Assistant Secretary, and the seal of the corporation shall be
engraved thereon. Each certificate shall recite that the stock represented
thereby is transferrable only upon the books of the Company by the holder
thereof or his attorney, upon surrender of the certificate properly endorsed.
Any certificate of stock surrendered to the Company shall be cancelled at the
time of transfer, and before a new certificate or certificates shall be issued
in lieu thereof. Duplicate certificates of stock shall be issued only upon
giving such security as may be satisfactory to the Board of Directors or the
Executive Committee.

      Section 3.  The Board of Directors of the Company is authorized to fix in
advance a record date for the determination of the stockholders entitled to
notice of, and to vote at, any meeting of stockholders and any adjournment
thereof, or entitled to receive payment of any dividend, or to any allotment or
rights, or to exercise any rights in respect of any change, conversion or
exchange of capital stock, or in connection with obtaining the consent of
stockholders for any purpose, which record date shall not be more than 60 nor
less than 10 days proceeding the date of any meeting of stockholders or the date
for the payment of any dividend, or the date for the allotment of rights, or the
date when any change or conversion or exchange of capital stock shall go into
effect, or a date in connection with obtaining such consent.


                                   ARTICLE VI
                                      SEAL

      Section 1.  The corporate seal of the Company shall be in the following
form:

               Between two concentric circles the words
               "Wilmington Trust Company" within the inner
               circle the words "Wilmington, Delaware."


                                  ARTICLE VII
                                  FISCAL YEAR

      Section 1.  The fiscal year of the Company shall be the calendar year.


                                  ARTICLE VIII
                    EXECUTION OF INSTRUMENTS OF THE COMPANY

      Section 1.  The Chairman of the Board, the President or any Vice
President, however denominated by the Board of Directors, shall have full power
and authority to enter into, make, sign, execute, acknowledge and/or deliver and
the Secretary or any Assistant Secretary shall have full power and authority to
attest and affix the corporate seal of the 

                                       8
<PAGE>
 
Company to any and all deeds, conveyances, assignments, releases, contracts,
agreements, bonds, notes, mortgages and all other instruments incident to the
business of this Company or in acting as executor, administrator, guardian,
trustee, agent or in any other fiduciary or representative capacity by any and
every method of appointment or by whatever person, corporation, court officer or
authority in the State of Delaware, or elsewhere, without any specific
authority, ratification, approval or confirmation by the Board of Directors or
the Executive Committee, and any and all such instruments shall have the same
force and validity as though expressly authorized by the Board of Directors
and/or the Executive Committee.


                                   ARTICLE IX
              COMPENSATION OF DIRECTORS AND MEMBERS OF COMMITTEES

      Section 1.  Directors and associate directors of the Company, other than
salaried officers of the Company, shall be paid such reasonable honoraria or
fees for attending meetings of the Board of Directors as the Board of Directors
may from time to time determine.  Directors and associate directors who serve as
members of committees, other than salaried employees of the Company, shall be
paid such reasonable honoraria or fees for services as members of committees as
the Board of Directors shall from time to time determine and directors and
associate directors may be employed by the Company for such special services as
the Board of Directors may from time to time determine and shall be paid for
such special services so performed reasonable compensation as may be determined
by the Board of Directors.


                                   ARTICLE X
                                INDEMNIFICATION

      Section 1.  (A)  The Corporation shall indemnify and hold harmless, to the
fullest extent permitted by applicable law as it presently exists or may
hereafter be amended, any person who was or is made or is threatened to be made
a party or is otherwise involved in any action, suit or proceeding, whether
civil, criminal, administrative or investigative (a "proceeding") by reason of
the fact that he, or a person for whom he is the legal representative, is or was
a director, officer, employee or agent of the Corporation or is or was serving
at the request of the Corporation as a director, officer, employee, fiduciary or
agent of another corporation or of a partnership, joint venture, trust,
enterprise or non-profit entity, including service with respect to employee
benefit plans, against all liability and loss suffered and expenses reasonably
incurred by such person.  The Corporation shall indemnify a person in connection
with a proceeding initiated by such person only if the proceeding was authorized
by the Board of Directors of the Corporation.

                  (B) The Corporation shall pay the expenses incurred in
defending any proceeding in advance of its final disposition, provided, however,
                                                              --------  ------- 
that the payment of
                                       9
<PAGE>
 
expenses incurred by a Director officer in his capacity as a Director or officer
in advance of the final disposition of the proceeding shall be made only upon
receipt of an undertaking by the Director or officer to repay all amounts
advanced if it should be ultimately determined that the Director or officer is
not entitled to be indemnified under this Article or otherwise.

          (C)  If a claim for indemnification or payment of expenses, under this
Article X is not paid in full within ninety days after a written claim therefor
has been received by the Corporation the claimant may file suit to recover the
unpaid amount of such claim and, if successful in whole or in part, shall be
entitled to be paid the expense of prosecuting such claim.  In any such action
the Corporation shall have the burden of proving that the claimant was not
entitled to the requested indemnification of payment of expenses under
applicable law.

          (D)  The rights conferred on any person by this Article X shall not be
exclusive of any other rights which such person may have or hereafter acquire
under any statute, provision of the Charter or Act of Incorporation, these By-
Laws, agreement, vote of stockholders or disinterested Directors or otherwise.

          (E)  Any repeal or modification of the foregoing provisions of this
Article X shall not adversely affect any right or protection hereunder of any
person in respect of any act or omission occurring prior to the time of such
repeal or modification.


                                   ARTICLE XI
                           AMENDMENTS TO THE BY-LAWS
                              
      Section 1.  These By-Laws may be altered, amended or repealed, in whole or
in part, and any new By-Law or By-Laws adopted at any regular or special meeting
of the Board of Directors by a vote of the majority of all the members of the
Board of Directors then in office.

                                      10
<PAGE>
 
                                                                       EXHIBIT C



                             SECTION 321(B) CONSENT


      Pursuant to Section 321(b) of the Trust Indenture Act of 1939, as amended,
Wilmington Trust Company hereby consents that reports of examinations by
Federal, State, Territorial or District authorities may be furnished by such
authorities to the Securities and Exchange Commission upon requests therefor.



                                        WILMINGTON TRUST COMPANY


Dated: September 17, 1998               By: /s/ James P. Lawler
                                            --------------------
                                             Name: James P. Lawler
                                             Title: Vice President
<PAGE>
 
                                   EXHIBIT D



                                     NOTICE


          This form is intended to assist state nonmember banks and savings
          banks with state publication requirements.  It has not been approved
          by any state banking authorities.  Refer to your appropriate state
          banking authorities for your state publication requirements.


R E P O R T  O F  C O N D I T I O N
 
Consolidating domestic subsidiaries of the

    WILMINGTON TRUST COMPANY              WILMINGTON
- ------------------------------------ of ---------------
        Name of Bank                 

                City
 
in the State of  DELAWARE, at the close of business on June 30, 1998.
                 --------  

<TABLE> 
<CAPTION> 
ASSETS
                                                                           Thousands of dollars
<S>                                                                        <C>                                                   
 Cash and balances due from depository institutions:
      Noninterest-bearing balances and currency and coins...............          232,976
      Interest-bearing balances.........................................                0
Held-to-maturity securities.............................................          195,579
Available-for-sale securities...........................................        1,416,957
Federal funds sold and securities purchased under agreements to resell..          150,100
Loans and lease financing receivables:
      Loans and leases, net of unearned income..........................        3,978,706
      LESS:  Allowance for loan and lease losses........................           63,164
      LESS:  Allocated transfer risk reserve............................                0
      Loans and leases, net of unearned income, allowance, and reserve..        3,915,542
Assets held in trading accounts.........................................                0
Premises and fixed assets (including capitalized leases)................          135,596
Other real estate owned.................................................            1,696
Investments in unconsolidated subsidiaries and associated companies.....            1,066
Customers' liability to this bank on acceptances outstanding............                0
Intangible assets.......................................................           55,759
Other assets............................................................          103,586
Total assets............................................................        6,208,857
</TABLE> 
 

                                                          CONTINUED ON NEXT PAGE
<PAGE>
 
<TABLE>
<CAPTION>
LIABILITIES
<S>                                                                           <C>
Deposits:
In domestic offices.........................................................  4,568,934
      Noninterest-bearing...................................................    838,655
      Interest-bearing......................................................  3,730,279
Federal funds purchased and Securities sold under agreements to repurchase..    418,382
Demand notes issued to the U.S. Treasury....................................     99,350
Trading liabilities (from Schedule RC-D)....................................          0
Other borrowed money:.......................................................    ///////
      With original maturity of one year or less............................    524,000
      With original maturity of more than one year..........................     43,000
Bank's liability on acceptances executed and outstanding....................          0
Subordinated notes and debentures...........................................          0
Other liabilities (from Schedule RC-G)......................................     91,728
Total liabilities...........................................................  5,745,394
 
 
EQUITY CAPITAL
 
Perpetual preferred stock and related surplus...............................          0
Common Stock................................................................        500
Surplus (exclude all surplus related to preferred stock)....................     62,118
Undivided profits and capital reserves......................................    394,325
Net unrealized holding gains (losses) on available-for-sale securities......      6,520
Total equity capital........................................................    463,463
Total liabilities, limited-life preferred stock, and equity capital.........  6,208,857
</TABLE>

                                       2

<PAGE>
 
                                                                   EXHIBIT 99.1
 
                             LETTER OF TRANSMITTAL
 
                                GBB CAPITAL II
 
                      OFFER TO EXCHANGE ITS FLOATING RATE
   EXCHANGE CAPITAL SECURITIES ("EXCHANGE CAPITAL SECURITIES") (LIQUIDATION
   AMOUNT $1,000 PER CAPITAL SECURITY) WHICH HAVE BEEN REGISTERED UNDER THE
    SECURITIES ACT OF 1933 FOR ANY AND ALL OF ITS OUTSTANDING FLOATING RATE
   ORIGINAL CAPITAL SECURITIES ("ORIGINAL CAPITAL SECURITIES") (LIQUIDATION
 AMOUNT $1,000 PER CAPITAL SECURITY) UNCONDITIONALLY GUARANTEED, AS DESCRIBED
                        HEREIN, BY GREATER BAY BANCORP
 
   PURSUANT TO THE PROSPECTUS DATED    , 1998 (AS THE SAME MAY BE AMENDED OR
                        SUPPLEMENTED, THE "PROSPECTUS")
 
                               ----------------
 
      THE EXCHANGE OFFER AND WITHDRAWAL RIGHTS WILL EXPIRE AT 5:00 P.M.,
          TIME, ON       , 1998, OR ON SUCH LATER DATE OR TIME TO WHICH THE
    CORPORATION OR THE TRUST MAY EXTEND THE EXCHANGE OFFER (THE "EXPIRATION
    DATE"). TENDERS MAY BE WITHDRAWN PRIOR TO 5:00 P.M.,       TIME, ON THE
                               EXPIRATION DATE.
 
                               ----------------
 
                 THE EXCHANGE AGENT FOR THE EXCHANGE OFFER IS:
 
                           WILMINGTON TRUST COMPANY
 
 By Hand, Registered or Certified Mail
         or Overnight Courier:                      By Facsimile:
 
       Wilmington Trust Company           (For Eligible Institutions Only)
          Attn: Kristin Long                  Wilmington Trust Company
      Corporate Trust Operations                   (302) 651-1079
       1100 North Market Street                 Confirm by telephone:
          Rodney Square North                      (302) 651-1562
       Wilmington, DE 19890-001
 
  DELIVERY OF THIS LETTER OF TRANSMITTAL TO AN ADDRESS OTHER THAN AS SET FORTH
ABOVE OR TRANSMISSION OF THIS LETTER OF TRANSMITTAL VIA FACSIMILE TO A NUMBER
OTHER THAN AS SET FORTH ABOVE DOES NOT CONSTITUTE A VALID DELIVERY.
 
  THE INSTRUCTIONS CONTAINED HEREIN SHOULD BE READ CAREFULLY BEFORE THIS
LETTER OF TRANSMITTAL IS COMPLETED.
 
                                       1
<PAGE>
 
  Capitalized terms used but not defined herein shall have the same meaning
given them in the Prospectus. As used herein, the term "Holder" means a holder
of Original Capital Securities, including any participant ("DTC Participant")
in the book-entry transfer facility system of The Depository Trust Company
("DTC") whose name appears on a security position listing as the owner of the
Original Capital Securities. As used herein, the term "Certificates" means
physical certificates representing Original Capital Securities.
 
  To participate in the Exchange Offer (as defined below), Holders must tender
by (a) book-entry transfer pursuant to the procedures set forth in the
Prospectus under "The Exchange Offer--Procedures for Tendering Original
Capital Securities," or (b) forwarding Certificates herewith. Holders who are
DTC Participants tendering by book-entry transfer must execute such tender
through the Automated Tender Offer Program ("ATOP") of DTC. A Holder using
ATOP should transmit its acceptance to DTC on or prior to    , 1998 (the
"Expiration Date"). DTC will verify such acceptance, execute a book-entry
transfer of the tendered Original Capital Securities into the Exchange Agent's
account at DTC and then send to the Exchange Agent confirmation of such book-
entry transfer (a "Book-Entry Confirmation"), including an agent's message
("Agent's Message") confirming that DTC has received an express acknowledgment
from such Holder that such Holder has received and agrees to be bound by this
Letter of Transmittal and that the Trust and the Corporation may enforce this
Letter of Transmittal against such Holder. The Book-Entry Confirmation must be
received by the Exchange Agent in order for the tender relating thereto to be
effective. Book-entry transfer to DTC in accordance with DTC's procedures does
not constitute delivery of the Book-Entry Confirmation to the Exchange Agent.
 
  If the tender is not made through ATOP, Certificates, as well as this Letter
of Transmittal (or facsimile thereof), properly completed and duly executed,
with any required signature guarantees, and any other documents required by
this Letter of Transmittal, must be received by the Exchange Agent at its
address set forth herein on or prior to the Expiration Date in order for such
tender to be effective.
 
  Holders of Original Capital Securities who cannot complete the procedures
for delivery by book-entry transfer of such Original Capital Securities on a
timely basis or who cannot deliver their Certificates for such Original
Capital Securities and all other required documents to the Exchange Agent on
or prior to the Expiration Date, must, in order to participate in the Exchange
Offer, tender their Original Capital Securities according to the guaranteed
delivery procedures set forth in the Prospectus under "The Exchange Offer--
Procedures for Tendering Original Capital Securities."
 
  THE METHOD OF DELIVERY OF THE BOOK-ENTRY CONFIRMATION OR CERTIFICATES, THIS
LETTER OF TRANSMITTAL, AND ALL OTHER REQUIRED DOCUMENTS IS AT THE OPTION AND
SOLE RISK OF THE TENDERING HOLDER, AND THE DELIVERY WILL BE DEEMED MADE ONLY
WHEN ACTUALLY RECEIVED BY THE EXCHANGE AGENT. IF DELIVERY IS BY MAIL,
REGISTERED MAIL WITH RETURN RECEIPT REQUESTED, PROPERLY INSURED, OR OVERNIGHT
DELIVERY SERVICE IS RECOMMENDED. IN ALL CASES, SUFFICIENT TIME SHOULD BE
ALLOWED TO ENSURE TIMELY DELIVERY.
 
                                       2
<PAGE>
 
                    NOTE: SIGNATURES MUST BE PROVIDED BELOW.
              PLEASE READ THE ACCOMPANYING INSTRUCTIONS CAREFULLY.
 
ALL TENDERING HOLDERS COMPLETE THIS BOX:

<TABLE>
<CAPTION> 
- ------------------------------------------------------------------------------
              DESCRIPTION OF ORIGINAL CAPITAL SECURITIES TENDERED
                              (SEE INSTRUCTION 4)
- ------------------------------------------------------------------------------
  IF BLANK, PLEASE
   PRINT NAME AND
     ADDRESS OF                 ORIGINAL CAPITAL SECURITIES TENDERED
 REGISTERED HOLDER.            (ATTACH ADDITIONAL LIST IF NECESSARY)
- ------------------------------------------------------------------------------
                                                             PRINCIPAL AMOUNT
                                                               OF ORIGINAL
                                             AGGREGATE      CAPITAL SECURITIES
                                          PRINCIPAL AMOUNT  TENDERED (IF LESS
                         CERTIFICATE        OF ORIGINAL          THAN ALL
                          NUMBER(S)*     CAPITAL SECURITIES  ARE TENDERED)**
 <S>                  <C>                <C>                <C>
                      --------------------------------------------------------
 
                      --------------------------------------------------------
 
                      --------------------------------------------------------
 
                      --------------------------------------------------------
                      TOTAL AMOUNT
                      TENDERED:
- ------------------------------------------------------------------------------
  * Need not be completed by book-entry holders.
 ** Original Capital Securities may be tendered in whole or in part in
    denominations of $100,000 and integral multiples of $1,000 in excess
    thereof, provided that if any Original Capital Securities are tendered
    for exchange in part, the untendered principal amount thereof must be
    $100,000 or any integral multiple of $1,000 in excess thereof. All
    Original Capital Securities held shall be deemed tendered unless a lesser
    number is specified in this column. See Instruction 4.
- ------------------------------------------------------------------------------ 
</TABLE>

                                       3
<PAGE>
 
            BOXES BELOW TO BE CHECKED BY ELIGIBLE INSTITUTIONS ONLY
 
[_] CHECK HERE IF TENDERED ORIGINAL CAPITAL SECURITIES ARE BEING DELIVERED BY
    BOOK-ENTRY TRANSFER MADE TO THE ACCOUNT MAINTAINED BY THE EXCHANGE AGENT
    WITH DTC, AND COMPLETE THE FOLLOWING:
 
    Name of Tendering Institution: ____________________________________________
 
    DTC Account Number: _______________________________________________________
 
    Transaction Code Number: __________________________________________________
 
[_] CHECK HERE AND ENCLOSE A PHOTOCOPY OF THE NOTICE OF GUARANTEED DELIVERY IF
    TENDERED ORIGINAL CAPITAL SECURITIES ARE BEING DELIVERED PURSUANT TO A
    NOTICE OF GUARANTEED DELIVERY PREVIOUSLY SENT TO THE EXCHANGE AGENT, AND
    COMPLETE THE FOLLOWING:
 
    Name of Registered Holder(s): _____________________________________________
 
    Window Ticket Number (if any): ____________________________________________
 
    Date of Execution of Notice of Guaranteed Delivery: _______________________
 
    Name of Institution which Guaranteed Delivery: ____________________________
 
      If Guaranteed Delivery is to be made by Book-Entry Transfer:
 
        Name of Tendering Institution: _____________________________________
 
        DTC Account Number: ________________________________________________
 
        Transaction Code Number: ___________________________________________
 
[_] CHECK HERE IF YOU ARE A BROKER-DEALER WHO ACQUIRED THE ORIGINAL CAPITAL
    SECURITIES FOR YOUR OWN ACCOUNT AS A RESULT OF MARKET MAKING OR OTHER
    TRADING ACTIVITIES AND WISH TO RECEIVE TEN ADDITIONAL COPIES OF THE
    PROSPECTUS AND TEN COPIES OF ANY AMENDMENTS OR SUPPLEMENTS THERETO.
 
    Name: _____________________________________________________________________
 
    Address: __________________________________________________________________
 
    Area Code and Telephone Number: ___________________________________________
 
    Contact Person: ___________________________________________________________
 
[_] CHECK HERE IF TENDERED BY A BOOK-ENTRY TRANSFER AND NONEXCHANGED OR
    NONTENDERED ORIGINAL CAPITAL SECURITIES ARE TO BE RETURNED BY CREDITING
    THE DTC ACCOUNT NUMBER SET FORTH ABOVE.
 
                                       4
<PAGE>
 
Ladies and Gentlemen:
 
  The undersigned hereby tenders to GBB Capital II, a trust formed under the
laws of the State of Delaware (the "Trust") and Greater Bay Bancorp, a
California corporation (the "Corporation"), the above-described aggregate
Liquidation Amount of the Trust's Original Capital Securities in exchange for
a like aggregate Liquidation Amount of the Trust's Exchange Capital Securities
which have been registered under the Securities Act of 1933, as amended (the
"Securities Act"), upon the terms and subject to the conditions set forth in
the Prospectus, receipt of which is hereby acknowledged, and in this Letter of
Transmittal (which, together with the Prospectus, constitute the "Exchange
Offer").
 
  Subject to and effective upon the acceptance for exchange of all or any
portion of the Original Capital Securities tendered herewith in accordance
with the terms and conditions of the Exchange Offer (including, if the
Exchange Offer is extended or amended, the terms and conditions of any such
extension or amendment), the undersigned hereby sells, assigns and transfers
to or upon the order of the Trust all right, title and interest in and to such
Original Capital Securities as are being tendered herewith. The undersigned
hereby irrevocably constitutes and appoints the Exchange Agent as its agent
and attorney-in-fact (with full knowledge that the Exchange Agent is also
acting as agent of the Corporation and the Trust in connection with the
Exchange Offer) with respect to the tendered Original Capital Securities, with
full power of substitution (such power of attorney being deemed to be an
irrevocable power coupled with an interest) subject only to the right of
withdrawal described in the Prospectus, to (i) deliver Certificates for
Original Capital Securities to the Corporation or the Trust together with all
accompanying evidences of transfer and authenticity to, or upon the order of,
the Trust, upon receipt by the Exchange Agent, as the undersigned's agent, of
the Exchange Capital Securities to be issued in exchange for such Original
Capital Securities, (ii) present Certificates for such Original Capital
Securities for transfer, and to transfer the Original Capital Securities on
the books of the Trust, and (iii) receive for the account of the Trust all
benefits and otherwise exercise all rights of beneficial ownership of such
Original Capital Securities, all in accordance with the terms and conditions
of the Exchange Offer.
 
  THE UNDERSIGNED HEREBY REPRESENTS AND WARRANTS THAT THE UNDERSIGNED HAS FULL
POWER AND AUTHORITY TO TENDER, EXCHANGE, SELL, ASSIGN AND TRANSFER THE
ORIGINAL CAPITAL SECURITIES TENDERED HEREBY AND THAT, WHEN THE SAME ARE
ACCEPTED FOR EXCHANGE, THE TRUST WILL ACQUIRE GOOD, MARKETABLE AND
UNENCUMBERED TITLE THERETO, FREE AND CLEAR OF ALL LIENS, RESTRICTIONS, CHARGES
AND ENCUMBRANCES, AND THAT THE ORIGINAL CAPITAL SECURITIES TENDERED HEREBY ARE
NOT SUBJECT TO ANY ADVERSE CLAIMS OR PROXIES. THE UNDERSIGNED WILL, UPON
REQUEST, EXECUTE AND DELIVER ANY ADDITIONAL DOCUMENTS DEEMED BY THE TRUST OR
THE EXCHANGE AGENT TO BE NECESSARY OR DESIRABLE TO COMPLETE THE EXCHANGE,
ASSIGNMENT AND TRANSFER OF THE ORIGINAL CAPITAL SECURITIES TENDERED HEREBY,
AND THE UNDERSIGNED WILL COMPLY WITH ITS OBLIGATIONS UNDER THE REGISTRATION
RIGHTS AGREEMENT. THE UNDERSIGNED HAS READ AND AGREES TO ALL OF THE TERMS OF
THE EXCHANGE OFFER.
 
  The name(s) and address(es) of the registered Holder(s) of the Original
Capital Securities tendered hereby should be printed in the box entitled
"Description of Original Capital Securities" above, if they are not already
set forth in such box, as they appear on the Certificates representing such
Original Capital Securities or on the records of DTC, as the case may be. The
Certificate number(s) of any such Certificates and the principal amount of
such Original Capital Securities should be specified in such box as indicated
therein.
 
  The undersigned understands that tenders of Original Capital Securities
pursuant to any one of the procedures described in "The Exchange Offer--
Procedures for Tendering Original Capital Securities" in the Prospectus and in
the instructions attached hereto will, upon the Corporation's and the Trust's
acceptance for exchange of such tendered Original Capital Securities,
constitute a binding agreement between the undersigned, the Corporation and
the Trust upon the terms and subject to the conditions of the Exchange Offer.
 
  The undersigned recognizes that, under certain circumstances set forth in
the Prospectus, the Corporation and the Trust may not be required to accept
for exchange any of the Original Capital Securities tendered hereby.
 
                                       5
<PAGE>
 
  Unless otherwise indicated in the box entitled "Special Issuance
Instructions" below, the undersigned hereby directs that the Exchange Capital
Securities be issued in the name(s) of the undersigned or credited to the
account at DTC indicated above in the case of a book-entry transfer of
Original Capital Securities.
 
  If any Original Capital Securities are submitted for more Original Capital
Securities than are tendered or accepted for exchange, then, without expense
to the tendering Holder, promptly following the expiration or termination of
the Exchange Offer, such non-exchanged or non-tendered Original Capital
Securities will, if evidenced by Certificates, be returned, or will, if
evidenced by book-entry, be credited to the account at DTC indicated above. If
applicable, substitute Certificates representing non-exchanged Original
Capital Securities will be issued to the undersigned or non-exchanged Original
Capital Securities will be credited to the account at DTC indicated above in
the case of a book-entry transfer of Original Capital Securities.
 
  Unless otherwise indicated under "Special Delivery Instructions,"
certificates for Original Capital Securities and for Exchange Capital
Securities will be delivered to the undersigned at the address shown below the
undersigned's signature.
 
  BY TENDERING ORIGINAL CAPITAL SECURITIES AND EXECUTING THIS LETTER OF
TRANSMITTAL, THE UNDERSIGNED HEREBY REPRESENTS AND AGREES THAT (1) THE
UNDERSIGNED IS NOT AN "AFFILIATE" (AS DEFINED IN RULE 144 UNDER THE SECURITIES
ACT) OF THE CORPORATION OR THE TRUST, (2) ANY EXCHANGE CAPITAL SECURITIES TO
BE RECEIVED BY THE UNDERSIGNED ARE BEING ACQUIRED IN THE ORDINARY COURSE OF
ITS BUSINESS, (3) THE UNDERSIGNED HAS NO ARRANGEMENT OR UNDERSTANDING WITH ANY
PERSON TO PARTICIPATE IN A DISTRIBUTION (WITHIN THE MEANING OF THE SECURITIES
ACT) OF EXCHANGE CAPITAL SECURITIES TO BE RECEIVED IN THE EXCHANGE OFFER, AND
(4) IF THE UNDERSIGNED IS NOT A BROKER-DEALER, THE UNDERSIGNED IS NOT ENGAGED
IN, AND DOES NOT INTEND TO ENGAGE IN, A DISTRIBUTION (WITHIN THE MEANING OF
THE SECURITIES ACT) OF SUCH EXCHANGE CAPITAL SECURITIES. BY TENDERING ORIGINAL
CAPITAL SECURITIES PURSUANT TO THE EXCHANGE OFFER AND EXECUTING THIS LETTER OF
TRANSMITTAL, A HOLDER OF ORIGINAL CAPITAL SECURITIES THAT IS A BROKER-DEALER
REPRESENTS AND AGREES, CONSISTENT WITH CERTAIN INTERPRETIVE LETTERS ISSUED BY
THE STAFF OF THE DIVISION OF CORPORATION FINANCE OF THE SECURITIES AND
EXCHANGE COMMISSION TO THIRD PARTIES, THAT (1) SUCH ORIGINAL CAPITAL
SECURITIES ARE HELD BY SUCH BROKER-DEALER ONLY AS A NOMINEE, OR (2) SUCH
ORIGINAL CAPITAL SECURITIES WERE ACQUIRED BY IT FOR ITS OWN ACCOUNT AS A
RESULT OF MARKET-MAKING ACTIVITIES OR OTHER TRADING ACTIVITIES AND IT WILL
DELIVER THE PROSPECTUS MEETING THE REQUIREMENTS OF THE SECURITIES ACT IN
CONNECTION WITH ANY RESALE OF SUCH EXCHANGE CAPITAL SECURITIES (PROVIDED THAT,
BY SO ACKNOWLEDGING AND BY DELIVERING THE PROSPECTUS, IT WILL NOT BE DEEMED TO
ADMIT THAT IT IS AN "UNDERWRITER" WITHIN THE MEANING OF THE SECURITIES ACT).
 
  THE CORPORATION AND THE TRUST HAVE AGREED THAT, SUBJECT TO THE PROVISIONS OF
THE REGISTRATION AGREEMENT, THE PROSPECTUS MAY BE USED IN CONNECTION WITH
RESALES OF EXCHANGE CAPITAL SECURITIES RECEIVED IN EXCHANGE FOR ORIGINAL
CAPITAL SECURITIES BY A BROKER-DEALER WHO ACQUIRED ORIGINAL CAPITAL SECURITIES
FOR ITS OWN ACCOUNT AS A RESULT OF MARKET-MAKING OR OTHER TRADING ACTIVITIES
(A "PARTICIPATING BROKER-DEALER") FOR A PERIOD ENDING 90 DAYS AFTER THE
EXPIRATION DATE (SUBJECT TO EXTENSION UNDER CERTAIN LIMITED CIRCUMSTANCES
DESCRIBED IN THE PROSPECTUS) OR, IF EARLIER, WHEN ALL SUCH EXCHANGE CAPITAL
SECURITIES HAVE BEEN DISPOSED OF BY SUCH PARTICIPATING BROKER-DEALER.
 
  IN THAT REGARD, EACH PARTICIPATING BROKER-DEALER, BY TENDERING SUCH ORIGINAL
CAPITAL SECURITIES AND EXECUTING THIS LETTER OF TRANSMITTAL OR BY TENDERING
THROUGH BOOK-ENTRY TRANSFER IN LIEU THEREOF, AGREES THAT, UPON
 
                                       6
<PAGE>
 
RECEIPT OF NOTICE FROM THE CORPORATION OR THE TRUST OF THE OCCURRENCE OF ANY
EVENT OR THE DISCOVERY OF ANY FACT WHICH MAKES ANY STATEMENT CONTAINED OR
INCORPORATED BY REFERENCE IN THE PROSPECTUS UNTRUE IN ANY MATERIAL RESPECT OR
WHICH CAUSES THE PROSPECTUS TO OMIT TO STATE A MATERIAL FACT NECESSARY IN
ORDER TO MAKE THE STATEMENTS CONTAINED OR INCORPORATED BY REFERENCE THEREIN,
IN LIGHT OF THE CIRCUMSTANCES UNDER WHICH THEY WERE MADE, NOT MISLEADING OR OF
THE OCCURRENCE OF CERTAIN OTHER EVENTS SPECIFIED IN THE REGISTRATION
AGREEMENT, SUCH PARTICIPATING BROKER-DEALER WILL SUSPEND THE SALE OF EXCHANGE
CAPITAL SECURITIES PURSUANT TO THE PROSPECTUS UNTIL (1) THE CORPORATION AND
THE TRUST HAVE AMENDED OR SUPPLEMENTED THE PROSPECTUS TO CORRECT SUCH
MISSTATEMENT OR OMISSION AND HAVE FURNISHED COPIES OF THE AMENDED OR
SUPPLEMENTED PROSPECTUS TO THE PARTICIPATING BROKER-DEALER OR (2) THE
CORPORATION OR THE TRUST HAS GIVEN NOTICE THAT THE SALE OF THE EXCHANGE
CAPITAL SECURITIES MAY BE RESUMED, AS THE CASE MAY BE. IF THE CORPORATION OR
THE TRUST GIVES SUCH NOTICE TO SUSPEND THE SALE OF THE EXCHANGE CAPITAL
SECURITIES, THEY SHALL EXTEND THE 90-PERIOD REFERRED TO ABOVE DURING WHICH
PARTICIPATING BROKER-DEALERS ARE ENTITLED TO USE THE PROSPECTUS IN CONNECTION
WITH THE RESALE OF EXCHANGE CAPITAL SECURITIES BY THE NUMBER OF DAYS DURING
THE PERIOD FROM AND INCLUDING THE DATE OF THE GIVING OF SUCH NOTICE TO AND
INCLUDING THE DATE ON WHICH (1) PARTICIPATING BROKER-DEALERS SHALL HAVE
RECEIVED COPIES OF THE SUPPLEMENTED OR AMENDED PROSPECTUS NECESSARY TO PERMIT
RESALES OF THE EXCHANGE CAPITAL SECURITIES OR (2) THE CORPORATION OR THE TRUST
HAS GIVEN NOTICE THAT THE SALE OF EXCHANGE CAPITAL SECURITIES MAY BE RESUMED,
AS THE CASE MAY BE.
 
  AS A RESULT, A PARTICIPATING BROKER-DEALER WHO INTENDS TO USE THE PROSPECTUS
IN CONNECTION WITH RESALES OF EXCHANGE CAPITAL SECURITIES RECEIVED IN EXCHANGE
FOR ORIGINAL CAPITAL SECURITIES PURSUANT TO THE EXCHANGE OFFER MUST NOTIFY THE
CORPORATION AND THE TRUST, OR CAUSE THE CORPORATION AND THE TRUST TO BE
NOTIFIED, ON OR PRIOR TO THE EXPIRATION DATE, THAT IT IS A PARTICIPATING
BROKER-DEALER. SUCH NOTICE MAY BE GIVEN IN THE SPACE PROVIDED ABOVE OR MAY BE
DELIVERED TO THE EXCHANGE AGENT AT THE ADDRESS SET FORTH IN THE PROSPECTUS
UNDER "THE EXCHANGE OFFER--EXCHANGE AGENT."
 
  Holders of the Capital Securities will be entitled to receive cumulative
Distributions arising from the payment of interest on the Junior Subordinated
Debentures, accumulating from August 12, 1998, and payable quarterly in
arrears on March 15, June 15, September 15 and December 15 of each year,
commencing on December 15, 1998. The record dates will be the first day of the
month in which the relevant payment occurs. In the event the Exchange Offer is
consummated prior to the first record date, December 1, 1998, each Exchange
Capital Security will pay cumulative Distributions from and after August 12,
1998. However, in the event the Exchange Offer is consummated after December
1, 1998, Distributions will be paid on the Original Capital Securities
accumulated from and after August 12, 1998 through December 15, 1998, and the
Exchange Capital Securities then will pay Distributions and from and after
December 15, 1998. The amount of each Distribution with respect to Exchange
Capital Securities will include amounts accrued to, but excluding the date the
Distribution is due. Because of the foregoing procedures regarding
Distributions, the amount of the Distributions received by holders whose
Original Capital Securities are accepted for exchange will not be affected by
the exchange. The amount of Distributions payable for any period will be
computed on the basis of the actual number of days elapsed in such period and
a 360-day year. In the event that any date on which Distributions are payable
on the Exchange Capital Securities is not a Business Day (as defined below),
payment of the Distribution payable on such date will be made on the next
succeeding day that is a Business Day (and without any interest or other
payment in respect to any such delay), except that if such next succeeding
Business Day falls in the next succeeding calendar month, such payment shall
be made on the immediately preceding Business Day, in each case with the same
force and effect as if made on such date (each date on which Distributions are
payable in
 
                                       7
<PAGE>
 
accordance with the foregoing, a "Distribution Date"). A "Business Day" shall
mean any day other than a Saturday or a Sunday or a day on which banking
institutions in New York, New York, San Francisco, California, or Wilmington,
Delaware are authorized or required by law or executive order to remain
closed.
 
  The undersigned will, upon request, execute and deliver any additional
documents deemed by the Corporation or the Trust to be necessary or desirable
to complete the sale, assignment and transfer of the Original Capital
Securities tendered hereby. All authority herein conferred or agreed to be
conferred in this Letter of Transmittal shall survive the death or incapacity
of the undersigned, and any obligation of the undersigned hereunder shall be
binding upon the heirs, executors, administrators, personal representatives,
trustees in bankruptcy, legal representatives, successors and assigns of the
undersigned. Except as stated in the Prospectus, this tender is irrevocable.
 
  THE UNDERSIGNED, BY COMPLETING THE BOX ENTITLED "DESCRIPTION OF ORIGINAL
CAPITAL SECURITIES" ABOVE AND SIGNING THIS LETTER, WILL BE DEEMED TO HAVE
TENDERED THE ORIGINAL CAPITAL SECURITIES AS SET FORTH IN SUCH BOX.
 
                                       8
<PAGE>
 
 
                              HOLDER(S) SIGN HERE
                    (SEE ATTACHED INSTRUCTIONS 2, 5 AND 6)
            (PLEASE COMPLETE SUBSTITUTE FORM W-9 ON THE LAST PAGE)
     (NOTE: SIGNATURE(S) MUST BE GUARANTEED IF REQUIRED BY INSTRUCTION 2)
 
   Must be signed by registered Holder(s) exactly as name(s) appear(s) on
 Certificate(s) for the Original Capital Securities hereby tendered or on the
 records of DTC, as the case may be, or by any person(s) authorized to become
 the registered Holder(s) by endorsements and documents transmitted herewith
 (including such opinions of counsel, certifications and other information as
 may be required by the Trust to comply with the restrictions on transfer
 applicable to the Original Capital Securities). If signature is by an
 attorney-in-fact, executor, administrator, trustee, guardian, officer of a
 corporation or another acting in a fiduciary capacity or representative
 capacity, set forth the signatory's full title. See Instruction 5.
 
 Signature: __________________________________________________________________
 
 _____________________________________________________________________________
                          (SIGNATURE(S) OF HOLDER(S))
 
 Date: ________________________________________________________________ , 1998
 
 Name(s): ____________________________________________________________________
                                (PLEASE PRINT)
 
 Capacity (full title): ______________________________________________________
 
 Address: ____________________________________________________________________
                              (INCLUDE ZIP CODE)
 
 Area Code and Telephone Number: _____________________________________________
 
 _____________________________________________________________________________
               (TAX IDENTIFICATION OR SOCIAL SECURITY NUMBER(S))
 
                           GUARANTEE OF SIGNATURE(S)
                      (SEE ATTACHED INSTRUCTIONS 2 AND 5)
 
 Authorized Signature: _______________________________________________________
 
 Name(s): ____________________________________________________________________
                                (PLEASE PRINT)
 
 Date: ________________________________________________________________ , 1998
 
 Capacity (full title): ______________________________________________________
 
 Address: ____________________________________________________________________
                              (INCLUDE ZIP CODE)
 
 Area Code and Telephone Number: _____________________________________________
 
 Tax Identification or Social Security Number(s): ____________________________
 
                                       9
<PAGE>
 
 
    SPECIAL ISSUANCE INSTRUCTIONS             SPECIAL DELIVERY INSTRUCTIONS
     (See Attached Instructions                (See Attached Instructions
             1, 5 and 6)                               1, 5 and 6)
 
   To be completed ONLY if                    To be completed ONLY if cer-
 certificates for Exchange                  tificates for Exchange Capital
 Capital Securities or non-                 Securities or non-tendered or
 tendered or non-exchanged                  non-exchanged Original Capital
 Original Capital Securities are            Securities are to be sent to
 to be issued in the name of                someone other than the regis-
 someone other than the                     tered Holder(s) of the Original
 registered Holder(s) of the                Capital Securities whose name(s)
 Original Capital Securities                appear(s) above, or such regis-
 whose name(s) appear(s) above.             tered Holder(s) at an address
                                            other than that shown above.
 Issue:
                                            Mail:
 [_] Non-tendered or non-
     exchanged Original Capital             [_] Non-tendered or non-
     Securities to:                             exchanged Original Capital
 [_] Exchange Capital Securities                Securities to:
     to:                                    [_] Exchange Capital Securities
                                                to:
 Name(s): ________________________
           (PLEASE PRINT)                   Name(s): ________________________
                                                     (PLEASE PRINT)
 Address: ________________________
                                            Address: ________________________
 _________________________________
                                            _________________________________
 _________________________________
         (INCLUDE ZIP CODE)                 _________________________________
                                                   (INCLUDE ZIP CODE)
 Area Code and Telephone Number:
                                            Area Code and Telephone Number:
 _________________________________
                                            _________________________________
 _________________________________
   TAX IDENTIFICATION OR SOCIAL             _________________________________
        SECURITY NUMBER(S)                    TAX IDENTIFICATION OR SOCIAL
                                                   SECURITY NUMBER(S)
 
 
                                       10
<PAGE>
 
                                 INSTRUCTIONS
 
        FORMING PART OF THE TERMS AND CONDITIONS OF THE EXCHANGE OFFER
 
  1. BOOK-ENTRY TRANSFER; DELIVERY OF LETTER OF TRANSMITTAL AND CERTIFICATES;
GUARANTEED DELIVERY PROCEDURES. To tender in the Exchange Offer, Holders must
tender by (a) forwarding Certificates herewith or (b) book-entry transfer
pursuant to the procedures set forth in "The Exchange Offer--Procedures for
Tendering Original Capital Securities" in the Prospectus. Holders who are DTC
Participants tendering by book-entry transfer must execute such tender through
DTC's ATOP system. A Holder using ATOP should transmit its acceptance to DTC
on or prior to the Expiration Date. DTC will verify such acceptance, execute a
book-entry transfer of the tendered Original Capital Securities into the
Exchange Agent's account at DTC and then send to the Exchange Agent a Book-
Entry Confirmation, including an Agent's Message confirming that DTC has
received an express acknowledgment from such Holder that such Holder has
received and agrees to be bound by this Letter of Transmittal and that the
Trust and the Corporation may enforce this Letter of Transmittal against such
Holder. The Book-Entry Confirmation must be received by the Exchange Agent in
order for the tender relating thereto to be effective. Book-entry transfer to
DTC in accordance with DTC's procedure does not constitute delivery of the
Book-Entry Confirmation to the Exchange Agent.
 
  IF THE TENDER IS NOT MADE THROUGH ATOP, CERTIFICATES, AS WELL AS THIS LETTER
OF TRANSMITTAL (OR FACSIMILE THEREOF), PROPERLY COMPLETED AND DULY EXECUTED,
WITH ANY REQUIRED SIGNATURE GUARANTEES, AND ANY OTHER DOCUMENTS REQUIRED BY
THIS LETTER OF TRANSMITTAL, MUST BE RECEIVED BY THE EXCHANGE AGENT AT ITS
ADDRESS SET FORTH HEREIN ON OR PRIOR TO THE EXPIRATION DATE IN ORDER FOR SUCH
TENDER TO BE EFFECTIVE.
 
  Original Capital Securities may be tendered in whole or in part in the
principal amount of $100,000 (100 Capital Securities) and integral multiples
of $1,000 in excess thereof, provided that, if any Original Capital Securities
are tendered for exchange in part, the untendered principal amount thereof
must be $100,000 (100 Capital Securities) or any integral multiple of $1,000
in excess thereof.
 
  Holders who wish to tender their Original Capital Securities and (i) whose
Original Capital Securities are not immediately available or (ii) who cannot
deliver their Original Capital Securities, this Letter of Transmittal and all
other required documents to the Exchange Agent on or prior to the Expiration
Date or (iii) who cannot complete the procedures for delivery by book-entry
transfer on a timely basis, may tender their Original Capital Securities by
properly completing and duly executing a notice to the Exchange Agent
guaranteeing delivery to the Exchange Agent of either certificates
representing the Original Capital Securities or a Book-Entry Confirmation in
compliance with the requirements set forth in the Prospectus (the "Notice of
Guaranteed Delivery"), pursuant to the guaranteed delivery procedures set
forth in the Prospectus under "The Exchange Offer--Procedures for Tendering
Original Capital Securities--Guaranteed Delivery." Pursuant to such
procedures: (i) such tender must be made by or through an Eligible Institution
(as defined below); (ii) a properly completed and duly executed Notice of
Guaranteed Delivery, substantially in the form accompanying this Letter of
Transmittal, must be received by the Exchange Agent on or prior to the
Expiration Date; and (iii) (a) a Book-Entry Confirmation or (b) the
certificates representing all tendered Original Capital Securities, in proper
form for transfer, together with a properly completed and duly executed Letter
of Transmittal (or facsimile thereof), with any required signature guarantees
and any other documents required by this Letter of Transmittal, must be
received by the Exchange Agent within three New York Stock Exchange trading
days after the date of execution of such Notice of Guaranteed Delivery, all as
provided in the Prospectus under "The Exchange Offer--Procedures for Tendering
Original Capital Securities--Guaranteed Delivery."
 
  A Notice of Guaranteed Delivery may be delivered by hand or transmitted by
facsimile or mail to the Exchange Agent, and must include a guarantee by an
Eligible Institution in the form set forth in such Notice. For Original
Capital Securities to be properly tendered pursuant to the guaranteed delivery
procedure, the Exchange Agent must receive a Notice of Guaranteed Delivery on
or prior to the Expiration Date. As used herein
 
                                      11
<PAGE>
 
and in the Prospectus, "Eligible Institution" means a firm or other entity
identified in Rule 17Ad-15 under the Exchange Act as "an eligible guarantor
institution," including (as such terms are defined therein) (i) a bank; (ii) a
broker, dealer, municipal securities broker or dealer or government securities
broker or dealer; (iii) a credit union; (iv) a national securities exchange,
registered securities association or clearing agency; or (v) a savings
association that is a participant in a Securities Transfer Association.
 
  THE METHOD OF DELIVERY OF THE BOOK-ENTRY CONFIRMATION OR CERTIFICATES, THIS
LETTER OF TRANSMITTAL, AND ALL OTHER REQUIRED DOCUMENTS IS AT THE OPTION AND
SOLE RISK OF THE TENDERING HOLDER, AND THE DELIVERY WILL BE DEEMED MADE ONLY
WHEN ACTUALLY RECEIVED BY THE EXCHANGE AGENT. IF DELIVERY IS BY MAIL,
REGISTERED MAIL WITH RETURN RECEIPT REQUESTED, PROPERLY INSURED, OR OVERNIGHT
DELIVERY SERVICE IS RECOMMENDED. IN ALL CASES, SUFFICIENT TIME SHOULD BE
ALLOWED TO ENSURE TIMELY DELIVERY.
 
  Neither the Corporation nor the Trust will accept any alternative,
conditional or contingent tenders. Each tendering Holder, by book-entry
transfer through ATOP or execution of a Letter of Transmittal (or facsimile
thereof), waives any right to receive any notice of the acceptance of such
tender.
 
  2. GUARANTEE OF SIGNATURES. No signature guarantee on this Letter of
Transmittal is required if:
 
    (i) this Letter of Transmittal is signed by the registered Holder(s) of
  Original Capital Securities tendered herewith, unless such Holder(s) has
  completed either the box entitled "Special Issuance Instructions" or the
  box entitled "Special Delivery Instructions" above, or
 
    (ii) such Original Capital Securities are tendered for the account of a
  firm that is an Eligible Institution.
 
  In all other cases, an Eligible Institution must guarantee the signature(s)
on this Letter of Transmittal. See Instruction 5.
 
  3. INADEQUATE SPACE. If the space provided in the box captioned "Description
of Original Capital Securities" is inadequate, the Certificate number(s)
and/or the principal amount of Original Capital Securities and any other
required information should be listed on a separate signed schedule which is
attached to this Letter of Transmittal.
 
  4. PARTIAL TENDERS AND WITHDRAWAL RIGHTS. Tenders of Original Capital
Securities will be accepted only in the principal amount of $100,000 (100
Capital Securities) and integral multiples of $1,000 in excess thereof,
provided that if any Original Capital Securities are tendered for exchange in
part, the untendered principal amount thereof must be $100,000 (100 Capital
Securities) or any integral multiple of $1,000 in excess thereof. If less than
all the Original Capital Securities are to be tendered, fill in the principal
amount of Original Capital Securities that are to be tendered in the box
entitled "Principal Amount of Original Capital Securities Tendered." If
applicable, new Certificate(s) for the Original Capital Securities that were
not tendered will be sent to the address designated herein by such Holder
promptly after the Expiration Date. All Original Capital Securities
represented by Certificates delivered to the Exchange Agent will be deemed to
have been tendered unless otherwise indicated.
 
  Except as otherwise provided herein, tenders of Original Capital Securities
may be withdrawn at any time on or prior to the Expiration Date. In order for
a withdrawal to be effective on or prior to such date, a written or facsimile
transmission of such notice of withdrawal must be timely received by the
Exchange Agent at one of its addresses set forth above or in the Prospectus on
or prior to such date. Any such notice of withdrawal must specify the name of
the person who tendered the Original Capital Securities to be withdrawn, the
aggregate principal amount of Original Capital Securities to be withdrawn,
and, if any Certificates for Original Capital Securities have been tendered,
the name of the registered Holder of the Original Capital Securities as set
forth on any such Certificates, if different from that of the person who
tendered such Original Capital Securities. If Certificates for the Original
Capital Securities have been delivered or otherwise identified to the Exchange
Agent,
 
                                      12
<PAGE>
 
then prior to the physical release of such Certificates, the tendering Holder
must submit the serial numbers shown on the particular Certificates to be
withdrawn and the signature on the notice of withdrawal must be guaranteed by
an Eligible Institution, except in the case of Original Capital Securities
tendered for the account of an Eligible Institution. If Original Capital
Securities have been tendered pursuant to the procedures for book-entry
transfer set forth in the Prospectus under "The Exchange Offer--Procedures for
Tendering Original Capital Securities," the notice of withdrawal must specify
the name and number of the account at DTC to be credited with the withdrawal
of Original Capital Securities. Withdrawals of tenders of Original Capital
Securities may not be rescinded. Original Capital Securities properly
withdrawn will not be deemed validly tendered for purposes of the Exchange
Offer, but may be retendered at any subsequent time on or prior to the
Expiration Date by following any of the procedures described herein.
 
  All questions as to the validity, form and eligibility (including time of
receipt) of such withdrawal notices will be determined by the Corporation and
the Trust, in their sole discretion, whose determination shall be final and
binding on all parties. Neither the Corporation, the Trust, any affiliates or
assigns of the Corporation or the Trust, the Exchange Agent nor any other
person shall be under any duty to give any notification of any irregularities
in any notice of withdrawal or incur any liability for failure to give any
such notification. Any Original Capital Securities which have been tendered
but which are withdrawn will be returned or transferred by book-entry, as the
case may be, to the Holder thereof without cost to such Holder promptly after
withdrawal.
 
  5. SIGNATURES ON LETTER OF TRANSMITTAL, ASSIGNMENTS AND ENDORSEMENTS. If
this Letter of Transmittal is signed by the registered Holder(s) of the
Original Capital Securities tendered hereby, the signature(s) must correspond
exactly with the name(s) as written on the face of the Certificate(s) for such
Original Capital Securities, without alteration, enlargement or any change
whatsoever, or as recorded in DTC's book-entry transfer facility system, as
the case may be.
 
  If any Certificates tendered hereby are owned of record by two or more joint
owners, all such owners must sign this Letter of Transmittal.
 
  If any tendered Original Capital Securities are registered in different
names on several Certificates, it will be necessary to complete, sign and
submit as many separate Letters of Transmittal as there are different
registrations of Certificates. If any tendered Original Capital Securities are
registered in different names in several book-entry accounts, proper
procedures for book-entry transfer must be followed for each account.
 
  If this Letter of Transmittal or any Certificates or bond powers are signed
by trustees, executors, administrators, guardians, attorneys-in-fact, officers
of corporations or others acting in a fiduciary or representative capacity,
such persons should so indicate when signing and must submit proper evidence
satisfactory to the Corporation and the Trust, in their sole discretion, of
each such person's authority so to act.
 
  When this Letter of Transmittal is signed by the registered Holder(s) of the
Original Capital Securities listed and transmitted hereby, or book-entry
transfer is effectuated by such Holder(s), no endorsement(s) of Certificate(s)
or separate bond power(s) are required except if Exchange Capital Securities
are to be issued in the name of a person other than the registered Holder(s).
If such exception applies, signature(s) on such Certificate(s) or bond
power(s) must be guaranteed by an Eligible Institution.
 
  If this Letter of Transmittal is signed by a person other than the
registered Holder(s) of the Original Capital Securities listed, the
Certificate(s) must be endorsed or accompanied by appropriate bond powers,
signed exactly as the name(s) of the registered Holder(s) appear(s) on the
Certificates, and also must be accompanied by such opinions of counsel,
certifications and other information as the Corporation or the Trust may
require in accordance with the restrictions on transfer applicable to the
Original Capital Securities. In such event, signatures on such Certificates or
bond powers must be guaranteed by an Eligible Institution.
 
  6. SPECIAL ISSUANCE AND DELIVERY INSTRUCTIONS. If Exchange Capital
Securities are to be issued in the name of a person other than the signer of
this Letter of Transmittal, or if Exchange Capital Securities are to be
 
                                      13
<PAGE>
 
sent to someone other than the signer of this Letter of Transmittal or to an
address other than that shown above, the appropriate boxes on this Letter of
Transmittal should be completed. Original Capital Securities not exchanged
will be returned, if evidenced by Certificates, by mail or, if tendered by
book-entry transfer, by crediting the account at DTC indicated above in
Instruction 4.
 
  7. IRREGULARITIES. The Corporation and the Trust will determine, in their
sole discretion, all questions as to the form of documents, validity,
eligibility (including time of receipt) and acceptance for exchange of any
tender of Original Capital Securities, which determination shall be final and
binding on all parties. The Corporation and the Trust reserve the absolute
right to reject any and all tenders determined by either of them not to be in
proper form or the acceptance of which, or exchange for which, may in the view
of counsel to the Corporation and the Trust be unlawful. The Corporation and
the Trust also reserve the absolute right, subject to applicable law, to waive
any of the conditions of the Exchange Offer set forth in the Prospectus under
"The Exchange Offer--Conditions to the Exchange Offer" or any conditions or
irregularity in any tender of Original Capital Securities of any particular
Holder whether or not similar conditions or irregularities are waived in the
case of other Holders. The Corporation's and the Trust's interpretation of the
terms and conditions of the Exchange Offer (including this Letter of
Transmittal and the instructions hereto) will be final and binding. No tender
of Original Capital Securities will be deemed to have been validly made until
all irregularities with respect to such tender have been cured or waived. The
Corporation, the Trust, any affiliates or assigns of the Corporation, the
Trust, the Exchange Agent, or any other person shall not be under any duty to
give notification of any irregularities in tenders or incur any liability for
failure to give such notification.
 
  8. QUESTIONS, REQUESTS FOR ASSISTANCE AND ADDITIONAL COPIES. Questions and
requests for assistance may be directed to the Exchange Agent at its address
and telephone number set forth on the front cover of this Letter of
Transmittal. Additional copies of the Prospectus, the Notice of Guaranteed
Delivery and this Letter of Transmittal may be obtained from the Exchange
Agent or from your broker, dealer, commercial bank, trust company or other
nominee.
 
  9. 31% BACKUP WITHHOLDING; SUBSTITUTE FORM W-9. Under federal income tax
law, a Holder whose tendered Original Capital Securities are accepted for
exchange is required to provide the Exchange Agent with such Holder's correct
taxpayer identification number ("TIN") on Substitute Form W-9 below. If the
Exchange Agent is not provided with the correct TIN, the Internal Revenue
Service (the "IRS") may subject the Holder or other payee to a $50 penalty. In
addition, payments to such Holders or other payees with respect to Original
Capital Securities exchanged pursuant to the Exchange Offer may be subject to
31% backup withholding.
 
  The box in Part 2 of the Substitute Form W-9 may be checked if the tendering
Holder has not been issued a TIN and has applied for a TIN or intends to apply
for a TIN in the near future. If the box in Part 2 is checked, the Holder or
other payee must also complete the Certificate of Awaiting Taxpayer
Identification Number below in order to avoid backup withholding.
Notwithstanding that the box in Part 2 is checked and the Certificate of
Awaiting Taxpayer Identification Number is completed, the Exchange Agent will
withhold 31% of all payments made prior to the time a properly certified TIN
is provided to the Exchange Agent. The Exchange Agent will retain such amounts
withheld during the 60-day period following the date of the Substitute Form W-
9. If the Holder furnishes the Exchange Agent with its TIN within 60 days
after the date of the Substitute Form W-9, the amounts retained during the 60-
day period will be remitted to the Holder and no further amounts shall be
retained or withheld from payments made to the Holder thereafter. If, however,
the Holder has not provided the Exchange Agent with its TIN within such 60-day
period, amounts withheld will be remitted to the IRS as backup withholding. In
addition, 31% of all payments made thereafter will be withheld and remitted to
the IRS until a correct TIN is provided.
 
  The Holder is required to give the Exchange Agent the TIN (e.g., social
security number or employer identification number) of the registered owner of
the Original Capital Securities or of the last transferee appearing on the
transfers attached to, or endorsed on, the Original Capital Securities.
 
                                      14
<PAGE>
 
  Certain Holders (including, among others, corporations, financial
institutions and certain foreign persons) may not be subject to these backup
withholding and reporting requirements. Such Holders should nevertheless
complete the attached Substitute Form W-9 below, and write "exempt" on the
face thereof, to avoid possible erroneous backup withholding. A foreign person
may qualify as an exempt recipient by submitting a properly completed IRS Form
W-8, signed under penalties of perjury, attesting to that holder's exempt
status.
 
  Backup withholding is not an additional federal income tax. Rather, the
federal income tax liability of a person subject to backup withholding will be
reduced by the amount of tax withheld. If withholding results in an
overpayment of taxes, a refund may be obtained.
 
  10. WAIVER OF CONDITIONS. The Corporation and the Trust reserve the absolute
right to waive satisfaction of any or all conditions enumerated in the
Prospectus.
 
  11. NO CONDITIONAL TENDERS. No alternative, conditional or contingent
tenders will be accepted. All tendering Holders, by execution of this Letter
of Transmittal, shall waive any right to receive notice of the acceptance of
Original Capital Securities for exchange.
 
  Neither the Corporation, the Trust, the Exchange Agent nor any other person
is obligated to give notice of any defect or irregularity with respect to any
tender of Original Capital Securities nor shall any of them incur any
liability for failure to give any such notice.
 
  12. LOST, DESTROYED OR STOLEN CERTIFICATES. If any Certificate(s)
representing Original Capital Securities have been lost, destroyed or stolen,
the Holder should promptly notify the Exchange Agent. The Holder will then be
instructed as to the steps that must be taken in order to replace the
Certificate(s). This Letter of Transmittal and related documents cannot be
processed until the procedures for replacing lost, destroyed or stolen
Certificate(s) have been followed.
 
  13. SECURITY TRANSFER TAXES. Holders who tender their Original Capital
Securities for exchange will not be obligated to pay any transfer taxes in
connection therewith. If, however, Exchange Capital Securities are to be
delivered to, or are to be issued in the name of, any person other than the
registered Holder of the Original Capital Securities tendered, or if a
transfer tax is imposed for any reason other than the exchange of Original
Capital Securities in connection with the Exchange Offer, then the amount of
any such transfer tax (whether imposed on the registered holder or any other
persons) will be payable by the tendering Holder. If satisfactory evidence of
payment of such taxes or exemption therefrom is not submitted with this Letter
of Transmittal, the amount of such transfer taxes will be billed directly to
such tendering Holder.
 
  IMPORTANT: BOOK-ENTRY CONFIRMATION OR THIS LETTER OF TRANSMITTAL (OR
FACSIMILE THEREOF) AND ALL OTHER REQUIRED DOCUMENTS MUST BE RECEIVED BY THE
EXCHANGE AGENT ON OR PRIOR TO THE EXPIRATION DATE.
 
                                      15
<PAGE>
 
                            TO BE COMPLETED BY ALL
                          TENDERING SECURITY HOLDERS
                              (SEE INSTRUCTION 9)
 
                    PAYOR'S NAME: WILMINGTON TRUST COMPANY
 
                        PART 1--PLEASE PROVIDE
 SUBSTITUTE             YOUR TIN IN THE BOX AT     TIN _______________________
                        RIGHT AND CERTIFY BY         Social Security Number or
 FORM W-9               SIGNING AND DATING            Employer Identification
                        BELOW                                  Number
 
 DEPARTMENT OF THE     --------------------------------------------------------
 TREASURY                                          PART 2
 INTERNAL REVENUE                                  TIN Applied For [_]
 SERVICE
                                                  -----------------------------
 
 PAYER'S REQUEST FOR    CERTIFICATION--UNDER THE PENALTIES OF PERJURY, I
 TAXPAYER               CERTIFY THAT: (1) the number shown on this form is my
 IDENTIFICATION NUMBER  correct taxpayer identification number (or I am
 ("TIN")                waiting for a number to be issued to me), (2) I am
 AND CERTIFICATION      not subject to backup withholding either because (i)
                        I am exempt from backup withholding, (ii) I have not
                        been notified by the Internal Revenue Service ("IRS")
                        that I am subject to backup withholding as a result
                        of a failure to report all interest or dividends, or
                        (iii) the IRS has notified me that I am no longer
                        subject to backup withholding, and (3) any other
                        information provided on this form is true and
                        correct.
 
                        SIGNATURE ____________________________________________
 
                        DATE _________________________________________________
 
                        You must cross out item (iii) in Part (2) above if
                        you have been notified by the IRS that you are
                        subject to backup withholding because of
                        underreporting interest or dividends on your tax
                        return and you have not been notified by the IRS that
                        you are no longer subject to backup withholding.
 
NOTE: FAILURE TO COMPLETE AND RETURN THIS FORM MAY IN CERTAIN CIRCUMSTANCES
      RESULT IN BACKUP WITHHOLDING OF 31% OF ANY AMOUNTS PAID TO YOU PURSUANT
      TO THE EXCHANGE OFFER. PLEASE REVIEW THE ENCLOSED GUIDELINES FOR
      CERTIFICATION OF TAXPAYER IDENTIFICATION NUMBER ON SUBSTITUTE FORM W-9
      FOR ADDITIONAL DETAILS.
 
  YOU MUST COMPLETE THE FOLLOWING CERTIFICATE IF YOU CHECKED THE BOX IN PART 2
OF THE SUBSTITUTE FORM W-9.
 
                                      16
<PAGE>
 
 
             CERTIFICATE OF AWAITING TAXPAYER IDENTIFICATION NUMBER
 
   I certify under penalties of perjury that a taxpayer identification
 number has not been issued to me, and either (1) I have mailed or
 delivered an application to receive a taxpayer identification number to
 the appropriate Internal Revenue Service Center or Social Security
 Administration Office or (2) I intend to mail or deliver an application in
 the near future. I understand that if I do not provide a taxpayer
 identification number by the time of payment, 31% of all payments made to
 me on account of the Exchange Capital Securities shall be retained until I
 provide a taxpayer identification number to the Exchange Agent and that,
 if I do not provide my taxpayer identification number within 60 days, such
 retained amounts shall be remitted to the Internal Revenue Service as
 backup withholding and 31% of all reportable payments made to me
 thereafter will be withheld and remitted to the Internal Revenue Service
 until I provide a taxpayer identification number.
 
 Signature ____________________________________   Date_______________________
 
 
 
                                       17

<PAGE>
 
                                                                   EXHIBIT 99.2
 
                         NOTICE OF GUARANTEED DELIVERY
                                 FOR TENDER OF
 
                   FLOATING RATE ORIGINAL CAPITAL SECURITIES
               (LIQUIDATION AMOUNT $1,000 PER CAPITAL SECURITY)
                                      OF
                                GBB CAPITAL II
 
                         UNCONDITIONALLY GUARANTEED BY
                              GREATER BAY BANCORP
 
  This Notice of Guaranteed Delivery, or one substantially equivalent to this
form, must be used to accept the Exchange Offer (as defined below) if (i)
certificates for the Trust's (as defined below) Floating Rate Original Capital
Securities (the "Original Capital Securities") are not immediately available,
(ii) Original Capital Securities, the Letter of Transmittal and all other
required documents cannot be delivered to Wilmington Trust Company (the
"Exchange Agent") on or prior to the Expiration Date (as defined in the
Prospectus referred to below) or (iii) the procedures for delivery by book-
entry transfer cannot be completed on a timely basis. This Notice of
Guaranteed Delivery may be delivered by hand, overnight courier or mail, or
transmitted by facsimile transmission, to the Exchange Agent. See "The
Exchange Offer--Procedures for Tendering Original Capital Securities" in the
Prospectus. In addition, in order to utilize the guaranteed delivery procedure
to tender Original Capital Securities pursuant to the Exchange Offer, a
completed, signed and dated Letter of Transmittal relating to the Original
Capital Securities (or facsimile thereof) must also be received by the
Exchange Agent on or prior to the Expiration Date. Capitalized terms not
defined herein have the meanings assigned to them in the Prospectus.
 
                 The Exchange Agent For The Exchange Offer Is:
 
                           WILMINGTON TRUST COMPANY
 
          By Hand, Overnight Delivery, Registered or Certified Mail:
 
                              Rodney Square North
                           1100 North Market Street
                           Wilmington, DE 19890-0001
                     Attention: Corporate Trust Operations
                     Confirm by Telephone: (302) 651-1562
                    Facsimile Transmissions: (302) 651-1079
                         (ELIGIBLE INSTITUTIONS ONLY)
 
  DELIVERY OF THIS NOTICE OF GUARANTEED DELIVERY TO AN ADDRESS OTHER THAN AS
SET FORTH ABOVE OR TRANSMISSION OF THIS NOTICE OF GUARANTEED DELIVERY VIA
FACSIMILE TO A NUMBER OTHER THAN AS SET FORTH ABOVE WILL NOT CONSTITUTE A
VALID DELIVERY.
 
  THIS NOTICE OF GUARANTEED DELIVERY IS NOT TO BE USED TO GUARANTEE
SIGNATURES. IF A SIGNATURE ON A LETTER OF TRANSMITTAL IS REQUIRED TO BE
GUARANTEED BY AN "ELIGIBLE INSTITUTION" UNDER THE INSTRUCTIONS THERETO, SUCH
SIGNATURE GUARANTEE MUST APPEAR IN THE APPLICABLE SPACE PROVIDED IN THE
SIGNATURE BOX ON THE LETTER OF TRANSMITTAL.
 
                                       1
<PAGE>
 
LADIES AND GENTLEMEN:
 
  The undersigned hereby tenders to GBB Capital II, a Delaware business trust
(the "Trust"), and to Greater Bay Bancorp, a California corporation (the
"Corporation"), upon the terms and subject to the conditions set forth in the
Prospectus dated       , 1998 (as the same may be amended or supplemented from
time to time, the "Prospectus"), and the related Letter of Transmittal (which
together constitute the "Exchange Offer"), receipt of which is hereby
acknowledged, the aggregate principal amount of Original Capital Securities
set forth below pursuant to the guaranteed delivery procedures set forth in
the Prospectus under the caption "The Exchange Offer--Procedures for Tendering
Original Capital Securities."
 
  This Notice of Guaranteed Delivery must be signed by the registered
holder(s) of Original Capital Securities exactly as its (their) name(s) appear
on certificates of Original Capital Securities or on a security position
listing the owners of Original Capital Securities, or by person(s) authorized
to become registered Holder(s) by endorsements and documents transmitted with
this Notice of Guaranteed Delivery.
 
                           PLEASE SIGN AND COMPLETE
 
Print Name(s) of Registered Holder(s): ________________________________________
 
_______________________________________________________________________________
 
Address: ______________________________________________________________________
 
_______________________________________________________________________________
 
Area Code and Telephone Number: _______________________________________________
 
Signature of Registered Holder(s) or Authorized Signatory: ____________________
 
Print Name and Title of Authorized Signatory: _________________________________
 
Total Liquidation Amount of Original Capital Securities Held by Registered
Holder: _______________________________________________________________________
 
Liquidation Amount of Original Capital Securities Tendered:* __________________
 
Certificate No(s). of Original Capital Securities (if available): _____________
 
If Original Capital Securities will be tendered by book-entry transfer,
provide DTC Account Number: ___________________________________________________
 
Dated: ________________________________________________________________________
- --------
* Must be in denominations of a Liquidation Amount of $1,000 and any integral
  multiple thereof, and not less than $100,000 aggregate Liquidation Amount.
 
                                       2
<PAGE>
 
                                   GUARANTEE
 
                   (NOT TO BE USED FOR SIGNATURE GUARANTEE.)
 
  The undersigned, a firm or other entity identified in Rule 17Ad-15 under the
Securities Exchange Act of 1934, as amended, as an "eligible guarantor
institution," including (as such terms are defined therein): (i) a bank; (ii)
a broker, dealer, municipal securities broker, municipal securities dealer,
government securities broker or government securities dealer; (iii) a credit
union; (iv) a national securities exchange, registered securities association
or clearing agency; or (v) a savings association that is a participant in a
Securities Transfer Association recognized program (each of the foregoing
being referred to as an "Eligible Institution"), hereby guarantees to deliver
to the Exchange Agent, at one of its addresses set forth above, either the
Original Capital Securities tendered hereby in proper form for transfer, or
confirmation of the book-entry transfer of such Original Capital Securities to
the Exchange Agent's account at The Depository Trust Company, pursuant to the
procedures for book-entry transfer set forth in the Prospectus, in either case
together with one or more properly completed and duly executed Letter(s) of
Transmittal (or facsimile thereof) and any other required documents within
three business days after the date of execution of this Notice of Guaranteed
Delivery.
 
  THE UNDERSIGNED ACKNOWLEDGES THAT IT MUST DELIVER THE LETTER(S) OF
TRANSMITTAL AND THE ORIGINAL CAPITAL SECURITIES TENDERED HEREBY TO THE
EXCHANGE AGENT WITHIN THE TIME PERIOD SET FORTH ABOVE AND THAT FAILURE TO DO
SO COULD RESULT IN A FINANCIAL LOSS TO THE UNDERSIGNED.
 
Name of Firm: _______________________     _____________________________________
 
                                                 (AUTHORIZED SIGNATURE)
 
 
Address: ____________________________     Name: _______________________________
 
                                                 (PLEASE PRINT OR TYPE)
 
 
_____________________________________     Title: ______________________________
                       (ZIP CODE)
 
 
Area Code and
Telephone Number: ___________________     Dated: ______________________________
 
NOTE: DO NOT SEND CERTIFICATES FOR ORIGINAL CAPITAL SECURITIES WITH THIS FORM.
       CERTIFICATES FOR ORIGINAL CAPITAL SECURITIES SHOULD ONLY BE SENT WITH
       YOUR LETTER OF TRANSMITTAL.
 
 
                                       3

<PAGE>
 
                                                                    EXHIBIT 99.3


                              _____________, 1998


Wilmington Trust Company
Corporate Trust Administration
Rodney Square North
1100 North Market Street
Wilmington, DE  19890-0001


Ladies and Gentlemen:

     GBB Capital II, a trust formed under the laws of the State of Delaware (the
"Trust") proposes to make an offer (the "Exchange Offer") to exchange any and
all of its outstanding Floating Rate Capital Securities (Liquidation Amount
$1,000 per Capital Security) (the "Original Capital Securities") for its
Floating Rate Exchange Capital Securities (Liquidation Amount $1,000 per Capital
Security) (the "Exchange Capital Securities").  All of the beneficial interests
represented by common securities of the Trust are owned by Greater Bay Bancorp,
a California corporation (the "Corporation").  The terms and conditions of the
Exchange Offer as currently contemplated are set forth in a prospectus, dated
__________________, 1998 (as the same may be amended or supplemented from time
to time, the "Prospectus"), to be distributed to all record holders of the
Original Capital Securities.  A copy of the Prospectus is attached hereto as
Exhibit A.  The Original Capital Securities and the Exchange Capital Securities
- ---------                                                                      
are collectively referred to herein as the "Securities."  Capitalized terms used
but not defined herein shall have the same meaning given them in the Prospectus.

     A copy of each of the form of the Letter of Transmittal, the form of the
Notice of Guaranteed Delivery, the form of letter to brokers and the form of
letter to clients are attached hereto as Exhibit B.
                                         --------- 

     The Trust hereby appoints Wilmington Trust Company to act as exchange agent
(the "Exchange Agent") in connection with the Exchange Offer.  References
hereinafter to "you" shall refer to Wilmington Trust Company.

     The Exchange Offer is expected to be commenced by the Trust on or about
_________________, 1998.  The Letter of Transmittal accompanying the Prospectus
(or in the case of book-entry securities, the ATOP system) is to be used by the
holders of the Original Capital Securities to accept the Exchange Offer and
contains instructions with respect to (a) the delivery of certificates for
Original Capital Securities tendered in connection therewith and (b) the book-
entry transfer of Securities to the Exchange Agent's account.

                                       1
<PAGE>
 
Wilmington Trust Company

________________, 1998
Page 2


     The Exchange Offer shall expire at 5:00 p.m., ____________ time, on
____________, 1998 or on such later date or time to which the Corporation or the
Trust may extend the Exchange Offer (the "Expiration Date").  Subject to the
terms and conditions set forth in the Prospectus, the Trust expressly reserves
the right to extend the Exchange Offer from time to time by giving oral (to be
confirmed in writing) or written notice to you before 9:00 a.m., ____________
time, on the Business Day following the previously scheduled Expiration Date.

     The Trust expressly reserves the right to amend or terminate the Exchange
Offer, and not to accept for exchange any Original Capital Securities not
theretofore accepted for exchange, upon the occurrence of any of the conditions
of the Exchange Offer specified in the Prospectus under the caption "The
Exchange Offer--Conditions to the Exchange Offer."  The Trust will give you
prompt oral (confirmed in writing) or written notice of any amendment,
termination or nonacceptance of Original Capital Securities.

     In carrying out your duties as Exchange Agent, you are to act in accordance
with the following instructions:

     1.   You will perform such duties and only such duties as are specifically
set forth in the section of the Prospectus captioned "The Exchange Offer" or as
specifically set forth herein; provided, however, that in no way will your
general duty to act in good faith be discharged by the foregoing.

     2.   You will establish an account with respect to the Original Capital
Securities at The Depository Trust Company (the "Book-Entry Transfer Facility")
for purposes of the Exchange Offer within two Business Days after the date of
the Prospectus, and any financial institution that is a participant in the Book-
Entry Transfer Facility's system may make book-entry delivery of the Original
Capital Securities by causing the Book-Entry Transfer Facility to transfer such
Original Capital Securities into your account in accordance with the Book-Entry
Transfer Facility's procedure for such transfer.

     3.   You are to examine each of the Letters of Transmittal and certificates
for Original Capital Securities (or confirmation of book-entry transfer into
your account at the Book-Entry Transfer Facility) and any other documents
delivered or mailed to you by or for holders of the Original Capital Securities
to ascertain whether:  (a) the Letters of Transmittal and any such other
documents are duly executed and properly completed in accordance with
instructions set forth therein and (b) the Original Capital Securities have
otherwise been properly tendered.  In each case where the Letter of Transmittal
or any other document has been improperly completed or executed or any of the
certificates for Original Capital Securities are not in proper form for transfer
or some

                                       2
<PAGE>
 
Wilmington Trust Company

________________, 1998
Page 3


other irregularity in connection with the acceptance of the Exchange Offer
exists, you will endeavor to inform such holders of the need for fulfillment of
all requirements and to take any other action as may be necessary or advisable
to cause such irregularity to be corrected.

     4.   With the approval of any Administrative Trustee of the Trust or any
person designated in writing by the Corporation (a "Designated Officer") (such
approval, if given orally, to be confirmed in writing) or any other party
designated by any such Administrative Trustee or Designated Officer in writing,
you are authorized to waive any irregularities in connection with any tender of
Original Capital Securities pursuant to the Exchange Offer.

     5.   Tenders of Original Capital Securities may be made only as set forth
in the Letter of Transmittal and in the section of the Prospectus captioned "The
Exchange Offer--Procedures for Tendering Original Capital Securities," and
Original Capital Securities shall be considered properly tendered to you only
when tendered in accordance with the procedures set forth therein.

     Notwithstanding the provisions of this paragraph 5, Original Capital
Securities that any Administrative Trustee of the Trust or Designated Officer of
the Corporation shall approve as having been properly tendered shall be
considered to be properly tendered.  Such approval, if given orally, shall be
confirmed in writing.

     6.   You shall advise the Trust and the Corporation with respect to any
Original Capital Securities received subsequent to the Expiration Date and
accept their instructions with respect to disposition of such Original Capital
Securities.

     7.   You shall accept tenders:

          (a) in cases where the Original Capital Securities are registered in
              two or more names only if signed by all named holders;

          (b) in cases where the signing person (as indicated on the Letter of
              Transmittal) is acting in a fiduciary or a representative capacity
              only when proper evidence of such person's authority so to act is
              submitted; and

          (c) from persons other than the registered holder of Original Capital
              Securities provided that customary transfer requirements,
              including satisfaction of any applicable transfer taxes, are
              fulfilled.

                                       3
<PAGE>
 
Wilmington Trust Company

________________, 1998
Page 4


     You shall accept partial tenders of Original Capital Securities where so
indicated and as permitted in the Letter of Transmittal and deliver certificates
for Original Capital Securities to the transfer agent for division and return
any untendered Original Capital Securities to the holder (or such other person
as may be designated in the Letter of Transmittal) as promptly as practicable
after expiration or termination of the Exchange Offer.

     8.   Upon satisfaction or waiver of all of the conditions to the Exchange
Offer, the Trust will notify you (such notice, if given orally, to be confirmed
in writing) of its acceptance, promptly after the Expiration Date, of all
Original Capital Securities properly tendered and you, on behalf of the Trust,
will exchange such Original Capital Securities for Exchange Capital Securities
and cause such Original Capital Securities to be canceled.  Delivery of Exchange
Capital Securities will be made on behalf of the Trust by you at the rate of
$1,000 principal amount of Exchange Capital Securities for each $1,000 principal
amount of the corresponding series of Original Capital Securities tendered
promptly after notice (such notice, if given orally, to be confirmed in writing)
of acceptance of said Original Capital Securities by the Trust; provided,
however, that in all cases, Original Capital Securities tendered pursuant to the
Exchange Offer will be exchanged only after timely receipt by you of
certificates for such Original Capital Securities (or confirmation of book-entry
transfer into your account at the Book-Entry Transfer Facility), a properly
completed and duly executed Letter of Transmittal (or facsimile thereof) with
any required signature guarantees and any other required documents.  You shall
issue Exchange Capital Securities only in denominations of $1,000 or any
integral multiple thereof.  Original Capital Securities may be tendered in whole
or in part in denominations of $100,000 and integral multiples of $1,000 in
excess thereof, provided that if any Original Capital Securities are tendered
for exchange in part, the untendered principal amount thereof must be $100,000
or any integral multiple of $1,000 in excess thereof.

     9.   Tenders pursuant to the Exchange Offer are irrevocable, except that,
subject to the terms and upon the conditions set forth in the Prospectus and the
Letter of Transmittal, Original Capital Securities tendered pursuant to the
Exchange Offer may be withdrawn at any time on or prior to the Expiration Date.

     10.  The Trust shall not be required to exchange any Original Capital
Securities tendered if any of the conditions set forth in the Exchange Offer are
not met.  Notice of any decision by the Trust not to exchange any Original
Capital Securities tendered shall be given orally (and confirmed in writing) by
the Trust to you.

     11.  If, pursuant to the Exchange Offer, the Trust does not accept for
exchange all or part of the Original Capital Securities tendered because of an
invalid tender, the occurrence of certain other events set forth in the
Prospectus under the caption "The Exchange Offer--Conditions to the

                                       4
<PAGE>
 
Wilmington Trust Company

________________, 1998
Page 5


Exchange Offer" or otherwise, you shall promptly after the expiration or
termination of the Exchange Offer return those certificates for unaccepted
Original Capital Securities (or effect appropriate book-entry transfer),
together with any related required documents and the Letters of Transmittal
relating thereto that are in your possession, to the persons who deposited them.

     12.  All certificates for reissued Original Capital Securities, unaccepted
Original Capital Securities or for Exchange Capital Securities shall be
forwarded (a) by first-class certified mail, return receipt requested, under a
blanket surety bond protecting you and the Trust from loss or liability arising
out of the non-receipt or non-delivery of such certificates; (b) by registered
mail insured separately for the replacement value of each of such certificates
or (c) by effectuating appropriate book-entry transfer.

     13.  You are not authorized to pay or offer to pay any concessions,
commissions or solicitation fees to any broker, dealer, bank or other persons or
to engage or utilize any person to solicit tenders.

     14.  As Exchange Agent hereunder you:

          (a) shall have no duties or obligations other than those specifically
              set forth in the section of the Prospectus captioned "The Exchange
              Offer," the Letter of Transmittal or herein or as may be
              subsequently agreed to in writing by you and the Trust;

          (b) will be regarded as making no representations and having no
              responsibilities as to the validity, sufficiency, value or
              genuineness of any of the certificates or the Original Capital
              Securities represented thereby deposited with you pursuant to the
              Exchange Offer, and will not be required to and will make no
              representation as to the validity, value or genuineness of the
              Exchange Offer or the Letter of Transmittal or any other
              disclosure materials delivered in connection therewith;

          (c) shall not be obligated to take any legal action hereunder which
              might in your reasonable judgment involve any expense or
              liability, unless you shall have been furnished with indemnity
              reasonably satisfactory to you;

          (d) may reasonably rely on and shall be protected in acting in
              reliance upon any certificate, instrument, opinion, notice,
              letter, telegram or other document or

                                       5
<PAGE>
 
Wilmington Trust Company

________________, 1998
Page 6


              security delivered to you and reasonably believed by you to be
              genuine and to have been signed by the proper party or parties;

          (e) may reasonably act upon any tender, statement, request, agreement
              or other instrument whatsoever not only as to its due execution
              and validity and effectiveness of its provisions, but also as to
              the truth and accuracy of any information contained therein, which
              you shall in good faith believe to be genuine or to have been
              signed or represented by a proper person or persons;

          (f) may rely on and shall be protected in acting upon written or oral
              instructions from any Administrative Trustee of the Trust or from
              any Designated Officer of the Corporation;

          (g) may consult with counsel satisfactory to you, including counsel
              for the Trust, with respect to any questions relating to your
              duties and responsibilities and the advice or opinion of such
              counsel shall be full and complete authorization and protection in
              respect of any action taken, suffered or omitted to be taken by
              you hereunder in good faith and in accordance with the advice or
              opinion of such counsel, provided that you shall promptly notify
              the Corporation of any action taken or omitted by you in reliance
              upon such advice or opinion; and

          (h) shall not advise any person tendering Original Capital Securities
              pursuant to the Exchange Offer as to the wisdom of making such
              tender or as to the market value or decline or appreciation in
              market value of any Original Capital Securities.

     15.  You shall take such action as may from time to time be requested by
the Trust or its counsel or any Designated Officer of the Corporation (and such
other action as you may reasonably deem appropriate) to furnish copies of the
Prospectus, Letter of Transmittal and the Notice of Guaranteed Delivery or such
other forms as may be approved from time to time by the Trust or the
Corporation, to all persons requesting such documents and to accept and comply
with telephone requests for information relating to the Exchange Offer, provided
that such information shall relate only to the procedures for accepting (or
withdrawing from) the Exchange Offer.  The Trust will furnish you with copies of
such documents at your request.  All other requests for information relating to
the Exchange Offer shall be directed to the Trust, Attention:  [Shawn Saunders].

                                       6
<PAGE>
 
Wilmington Trust Company

________________, 1998
Page 7


     16.  You shall advise by facsimile transmission or telephone, and promptly
thereafter confirm in writing to [Shawn Saunders] of the Trust, and such other
person or persons as the Trust or the Corporation may request, daily (and more
frequently during the week immediately preceding the Expiration Date and if
otherwise requested) up to and including the Expiration Date, as to the number
of Original Capital Securities which have been tendered pursuant to the Exchange
Offer and the items received by you pursuant to this Agreement, separately
reporting and giving cumulative totals as to items properly received and items
improperly received.  In addition, you will also inform, and cooperate in making
available to, the Trust or the Corporation or any such other person or persons,
upon oral request made from time to time on or prior to the Expiration Date,
such other information as it or such person reasonably requests.  Such
cooperation shall include, without limitation, the granting by you to the Trust
or the Corporation, and such person as the Trust or the Corporation may request,
of access to those persons on your staff who are responsible for receiving
tenders, in order to ensure that immediately prior to the Expiration Date the
Trust or the Corporation shall have received information in sufficient detail to
enable it to decide whether to extend the Exchange Offer.  You shall prepare a
final list of all persons whose tenders were accepted, the aggregate principal
amount of Original Capital Securities tendered, the aggregate principal amount
of Original Capital Securities accepted and deliver said list to the Trust
promptly after the Expiration Date.

     17.  Letters of Transmittal and Notices of Guaranteed Delivery shall be
stamped by you as to the date and the time of receipt thereof and shall be
preserved by you for a period of time at least equal to the period of time you
preserve other records pertaining to the transfer of securities.

     18.  You hereby expressly waive any lien, encumbrance or right of set-off
whatsoever that you may have with respect to funds deposited with you for the
payment of transfer taxes by reasons of amounts, if any, borrowed by the Trust,
or any of its subsidiaries or affiliates pursuant to any loan or credit
agreement with you or for compensation owed to you hereunder.

     19.  For services rendered as Exchange Agent hereunder, you shall be
entitled to the compensation set forth on Schedule I attached hereto, plus
reasonable out-of-pocket expenses and reasonable attorneys' fees, incurred in
connection with your services hereunder, within 30 days following receipt by the
Corporation of an itemized statement of such expenses and fees in reasonable
detail.

     20.  (a)  The Trust covenants and agrees to indemnify and hold you (which
for purposes of this paragraph shall include your directors, officers and
employees) harmless in your capacity as Exchange Agent hereunder from and
against any and all loss, liability, damage, action, suit, claim or expense,
including but not limited to reasonable attorneys' fees and expenses, incurred

                                       7
<PAGE>
 
Wilmington Trust Company

________________, 1998
Page 8


by you as a result of, arising out of or in connection with the performance by
you of your duties under this Agreement or the compliance by you with the
instructions set forth herein or delivered hereunder; provided, however, that
the Trust shall not be liable for indemnification or otherwise for any loss,
liability, damage, action, suit, claim or expense arising out of your gross
negligence or willful misconduct.  In no case shall the Trust be liable under
this indemnity with respect to any claim against you unless the Trust shall be
notified by you, by letter or by facsimile confirmed by letter, of the written
assertion of a claim against you or of any other action commenced against you,
promptly after you shall have received any such written assertion or notice of
commencement of action.  The Trust shall be entitled to participate at its own
expense in the defense of any such claim or other action, and, if the Trust so
elects, the Trust may assume the defense of any suit brought to enforce any such
claim, provided that the Trust shall not be entitled to assume the defense of
any such action if the named parties to such action include both the Trust and
you and representation of both parties by the same legal counsel would, in the
written opinion of counsel to you, be inappropriate due to actual or potential
conflicting interests between them.  In the event that the Trust shall assume
the defense of any such suit or threatened action in respect of which
indemnification may be sought hereunder, the Trust shall not be liable for the
fees and expenses of any counsel thereafter retained by you.  The Trust shall
not be liable under this paragraph for the fees and expenses of more than one
legal counsel for you.

          (b) You agree that, without the prior written consent of the Trust
(which consent shall not be unreasonably withheld), you will not settle,
compromise or consent to the entry of any pending or threatened claim, action,
or proceeding in respect of which indemnification could be sought in accordance
with the indemnification provisions of this Agreement (whether or not you or the
Trust or any of its trustees or controlling persons is an actual or potential
party to such claim, action or proceeding), unless such settlement, compromise
or consent includes an unconditional release of the Trust and its trustees and
controlling persons from all liability arising out of such claim, action or
proceeding.

     21.  You shall arrange to comply with all requirements under the tax laws
of the United States, including those relating to missing Tax Identification
Numbers, and shall file any appropriate reports with the Internal Revenue
Service.  The Trust understands that you are required in certain instances to
deduct 31% of the amounts to be paid with respect to interest paid on the
Exchange Capital Securities and proceeds from the sale, exchange, redemption or
retirement of the Exchange Capital Securities from holders who have not supplied
their correct Taxpayer Identification Number or required certification.  Such
funds will be turned over to the Internal Revenue Service in accordance with
applicable regulations.

                                       8
<PAGE>
 
Wilmington Trust Company

________________, 1998
Page 9


     22.  You shall notify the Trust of the amount of any transfer taxes payable
in respect of the exchange of Original Capital Securities and, upon receipt of
written approval from the Trust, you shall deliver or cause to be delivered, in
a timely manner to each governmental authority to which any transfer taxes are
payable in respect of the exchange of Original Capital Securities, your check in
the amount of all transfer taxes so payable, and the Trust shall reimburse you
for the amount of any and all transfer taxes payable in respect of the exchange
of Original Capital Securities; provided, however, that you shall reimburse the
Trust for amounts refunded to you in respect of your payment of any such
transfer taxes, at such time as such refund is received by you.

     23.  This Agreement and your appointment as Exchange Agent hereunder shall
be construed and enforced in accordance with the laws of the State of New York
applicable to agreements made and to be performed entirely within such state,
and without regard to conflicts of law principles, and shall inure to the
benefit of, and the obligations created hereby shall be binding upon, the
successors and assigns of each of the parties hereto, and no other person shall
have any rights hereunder.

     24.  This Agreement may be executed in one or more counterparts, each of
which shall be deemed to be an original and all of which taken together shall
constitute one and the same agreement.

     25.  In case any provision of this Agreement shall be invalid, illegal or
unenforceable, the validity, legality and enforceability of the remaining
provisions shall not in any way be affected or impaired thereby.

     26.  This Agreement shall not be deemed or construed to be modified,
amended, rescinded, canceled or waived, in whole or in part, except by a written
instrument signed by a duly authorized representative of the party to be
charged.  This Agreement may not be modified orally.

     27.  Unless otherwise provided herein, all notices, requests and other
communications to any party hereunder shall be in writing (including facsimile
or similar writing) and shall be given to such party, addressed to it, at its
address or facsimile number set forth below:

                                       9
<PAGE>
 
Wilmington Trust Company

________________, 1998
Page 10


                    If to the Trust:

                    GBB Capital II
                    2860 West Bayshore Road
                    Palo Alto, CA  94303
                    Facsimile:  (650) 494-9220
                    Attention:  Shawn Saunders

                    If to the Exchange Agent:

                    Wilmington Trust Company
                    Corporate Trust Department
                    Rodney Square North
                    1100 North Market Street
                    Wilmington, DE  19890-0001
                    Facsimile:  (302) 651-8882
                    Attention:  Corporate Trust Administration

     28.  Unless terminated earlier by the parties hereto, this Agreement shall
terminate 90 days following the Expiration Date.  Notwithstanding the foregoing,
paragraphs 6, 7, and 9 shall survive the termination of this Agreement.  Upon
any termination of this Agreement, you shall promptly deliver to the Trust any
certificates for Securities, funds or property then held by you as Exchange
Agent under this Agreement.

     29.  This Agreement shall be binding and effective as of the date hereof.

     Please acknowledge receipt of this Agreement and confirm the arrangements
herein provided by signing and returning the enclosed copy.


                              GBB CAPITAL II



                              By:   __________________________________
                                    Name:
                                    Title:  Administrative Trustee

                                       10
<PAGE>
 
Wilmington Trust Company

________________, 1998
Page 11


                              Accepted as of the date first above written:


                              WILMINGTON TRUST COMPANY, as Exchange
                              Agent



                              By:   ________________________________________
                                    Name:
                                    Title:

                                       11
<PAGE>
 
                                  SCHEDULE I
                                     FEES

                           WILMINGTON TRUST COMPANY
                          CORPORATE TRUST DEPARTMENT


                               SCHEDULE OF FEES
                                      FOR
                                GBB CAPITAL II

                   FLOATING RATE EXCHANGE CAPITAL SECURITIES

                                       12

<PAGE>
 
                                                                   EXHIBIT 99.4
 
                                GBB CAPITAL II
 
                           OFFER FOR ALL OUTSTANDING
                   FLOATING RATE ORIGINAL CAPITAL SECURITIES
                                IN EXCHANGE FOR
                   FLOATING RATE EXCHANGE CAPITAL SECURITIES
 
To:Brokers, Dealers, Commercial Banks,
  Trust Companies and Other Nominees:
 
  GBB Capital II (the "Trust") is offering, upon and subject to the terms and
conditions set forth in a prospectus dated      , 1998 (as the same may be
amended or supplemented from time to time, the "Prospectus"), and the enclosed
letter of transmittal (the "Letter of Transmittal"), to exchange (the
"Exchange Offer") its Floating Rate Exchange Capital Securities for any and
all of its outstanding Floating Rate Original Capital Securities (the
"Original Capital Securities"). The Exchange Offer is being made in order to
satisfy certain obligations of the Trust and Greater Bay Bancorp (the
"Corporation") contained in the Registration Rights Agreement, dated August 7,
1998, among the Trust, the Corporation, and Sandler O'Neill & Partners, L.P.
 
  We are requesting that you contact your clients for whom you hold Original
Capital Securities regarding the Exchange Offer. For your information and for
forwarding to your clients for whom you hold Original Capital Securities
registered in your name or in the name of your nominee, or who hold Original
Capital Securities registered in their own names, we are enclosing the
following documents:
 
    1. The Prospectus dated      , 1998;
 
    2. The Letter of Transmittal for your use and for the information (or the
  use, where relevant) of your clients;
 
    3. A Notice of Guaranteed Delivery to be used to accept the Exchange
  Offer if certificates for Original Capital Securities are not immediately
  available or time will not permit all required documents to reach the
  Exchange Agent prior to the Expiration Date (as defined below) or if the
  procedure for book-entry transfer cannot be completed on a timely basis;
 
    4. A form of letter which may be sent to your clients for whose account
  you hold Original Capital Securities registered in your name or the name of
  your nominee, with space provided for obtaining such clients' instructions
  with regard to the Exchange Offer; and
 
    5. Guidelines for Certification of Taxpayer Identification Number on
  Substitute Form W-9.
 
  YOUR PROMPT ACTION IS REQUESTED. THE EXCHANGE OFFER WILL EXPIRE AT 5:00
P.M.,       TIME, ON      , 1998, OR ON SUCH LATER DATE OR TIME TO WHICH THE
CORPORATION OR THE TRUST MAY EXTEND THE EXCHANGE OFFER (THE "EXPIRATION
DATE"). THE ORIGINAL CAPITAL SECURITIES TENDERED PURSUANT TO THE EXCHANGE
OFFER MAY BE WITHDRAWN AT ANY TIME BEFORE THE EXPIRATION DATE.
 
  To participate in the Exchange Offer, a duly executed and properly completed
Letter of Transmittal (or facsimile thereof), with any required signature
guarantees and any other required documents, should be sent to the Exchange
Agent and certificates representing the Original Capital Securities should be
delivered to the Exchange Agent, all in accordance with the instructions set
forth in the Letter of Transmittal and the Prospectus.
 
  If holders of Original Capital Securities wish to tender, but it is
impracticable for them to forward their certificates for Original Capital
Securities prior to the expiration of the Exchange Offer or to comply with the
book-entry transfer procedures on a timely basis, a tender may be effected by
following the guaranteed delivery procedures described in the Prospectus under
"The Exchange Offer--Procedures for Tendering Original Capital Securities--
Guaranteed Delivery."
 
                                       1
<PAGE>
 
  The Trust will, upon request, reimburse brokers, dealers, commercial banks
and trust companies for reasonable and necessary costs and expenses incurred
by them in forwarding the Prospectus and the related documents to the
beneficial owners of Original Capital Securities held by them as nominee or in
a fiduciary capacity. The Trust will pay or cause to be paid all stock
transfer taxes applicable to the exchange of Original Capital Securities
pursuant to the Exchange Offer, except as set forth in Instruction 13 of the
Letter of Transmittal.
 
  Any inquiries you may have with respect to the Exchange Offer, or requests
for additional copies of the enclosed materials, should be directed to
Wilmington Trust Company, the Exchange Agent for the Original Capital
Securities, at its address and telephone number set forth on the front of the
Letter of Transmittal.
 
                                          Very truly yours,
 
                                          GBB CAPITAL II
 
  NOTHING HEREIN OR IN THE ENCLOSED DOCUMENTS SHALL CONSTITUTE YOU OR ANY
PERSON AS AN AGENT OF THE TRUST OR THE EXCHANGE AGENT, OR AUTHORIZE YOU OR ANY
OTHER PERSON TO USE ANY DOCUMENT OR MAKE ANY STATEMENTS ON BEHALF OF EITHER OF
THEM WITH RESPECT TO THE EXCHANGE OFFER, EXCEPT FOR STATEMENTS EXPRESSLY MADE
IN THE PROSPECTUS OR THE LETTER OF TRANSMITTAL.
 
Enclosures
 
 
                                       2

<PAGE>
 
                                                                   EXHIBIT 99.5
 
                                GBB CAPITAL II
 
                           OFFER FOR ALL OUTSTANDING
                   FLOATING RATE ORIGINAL CAPITAL SECURITIES
                                IN EXCHANGE FOR
                   FLOATING RATE EXCHANGE CAPITAL SECURITIES
 
To Our Clients:
 
  Enclosed for your consideration is a prospectus dated       , 1998 (as the
same may be amended or supplemented from time to time, the "Prospectus"), and
the related letter of transmittal (the "Letter of Transmittal"), relating to
the offer (the "Exchange Offer") of GBB Capital II (the "Trust") and Greater
Bay Bancorp (the "Corporation") to exchange the Trust's Floating Rate Exchange
Capital Securities for any and all of the Trust's outstanding Floating Rate
Original Capital Securities (the "Original Capital Securities"), upon the
terms and subject to the conditions described in the Prospectus. The Exchange
Offer is being made in order to satisfy certain obligations of the Trust and
the Corporation contained in the Registration Rights Agreement dated August 7,
1998, among the Trust, the Corporation, and Sandler O'Neill & Partners, L.P.
 
  This material is being forwarded to you as the beneficial owner of the
Original Capital Securities carried by us in your account but not registered
in your name. A TENDER OF SUCH ORIGINAL CAPITAL SECURITIES MAY ONLY BE MADE BY
US AS THE HOLDER OF RECORD AND PURSUANT TO YOUR INSTRUCTIONS.
 
  Accordingly, we request instructions as to whether you wish us to tender on
your behalf the Original Capital Securities held by us for your account,
pursuant to the terms and conditions set forth in the enclosed Prospectus and
Letter of Transmittal.
 
  Your instructions should be forwarded to us as promptly as possible in order
to permit us to tender the Original Capital Securities on your behalf in
accordance with the provisions of the Exchange Offer. The Exchange Offer shall
expire at 5:00 p.m.,       time, on       , 1998, or on such later date or
time to which the Corporation or the Trust may extend the Exchange Offer. Any
Original Capital Securities tendered pursuant to the Exchange Offer may be
withdrawn at any time before the Expiration Date.
 
  Your attention is directed to the following:
 
    1. The Exchange Offer is for any and all Original Capital Securities.
 
    2. The Exchange Offer is subject to certain conditions set forth in the
  Prospectus in the section captioned "The Exchange Offer--Conditions to the
  Exchange Offer."
 
    3. Any transfer taxes incident to the transfer of Original Capital
  Securities from the holder to the Corporation will be paid by the
  Corporation, except as otherwise provided in the Instructions in the Letter
  of Transmittal.
 
    4. The Exchange Offer expires at 5:00 p.m.,       time, on       , 1998,
  or on such later date or time to which the Corporation or the Trust may
  extend the Exchange Offer.
 
  If you wish to have us tender your Original Capital Securities, please so
instruct us by completing, executing and returning to us the instruction form
on the back of this letter. THE LETTER OF TRANSMITTAL IS FURNISHED TO YOU FOR
INFORMATION ONLY AND MAY NOT BE USED DIRECTLY BY YOU TO TENDER ORIGINAL
CAPITAL SECURITIES.
 
                                       1
<PAGE>
 
                INSTRUCTIONS WITH RESPECT TO THE EXCHANGE OFFER
 
  The undersigned acknowledge(s) receipt of your letter and the enclosed
material referred to therein relating to the Exchange Offer made by GBB
Capital II with respect to its Original Capital Securities.
 
  This will instruct you to tender the Original Capital Securities held by you
for the account of the undersigned, upon and subject to the terms and
conditions set forth in the Prospectus and the related Letter of Transmittal.
 
  Please tender the Original Capital Securities held by you for my account as
indicated below:
 
Total Principal Amount at Maturity of Floating Rate Original Capital
Securities Tendered:* _________________________________________________________
 
_______________________________________________________________________________
 
[_] Please do NOT tender any Original Capital Securities held by you for my
account.
 
Dated: ________________________, 1998
 
Authorized Signature(s): ______________________________________________________
 
Please print name(s) here: ____________________________________________________
 
_______________________________________________________________________________
 
_______________________________________________________________________________
 
Address(es): __________________________________________________________________
 
_______________________________________________________________________________
 
Area Code and Telephone Number: _______________________________________________
 
Taxpayer Identification or Social Security Number(s): _________________________
 
  NONE OF THE ORIGINAL CAPITAL SECURITIES HELD BY US FOR YOUR ACCOUNT WILL BE
TENDERED UNLESS WE RECEIVE WRITTEN INSTRUCTIONS FROM YOU TO DO SO. UNLESS A
SPECIFIC CONTRARY INSTRUCTION IS GIVEN IN THE SPACE PROVIDED, YOUR
SIGNATURE(S) HEREON SHALL CONSTITUTE AN INSTRUCTION TO US TO TENDER ALL THE
ORIGINAL CAPITAL SECURITIES HELD BY US FOR YOUR ACCOUNT.
- --------
* Must be in denominations of a Liquidation Amount of $1,000 and any integral
  multiple thereof, and not less than $100,000 aggregate Liquidation Amount.
 
 
                                       2


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