SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549


                                    FORM 8-K


               CURRENT REPORT PURSUANT TO SECTION 13 OR 15(d) OF
                      THE SECURITIES EXCHANGE ACT OF 1934



DATE OF REPORT (DATE OF EARLIEST EVENT REPORTED):    December 17, 1996
                                                     -----------------



                              GREATER BAY BANCORP
                              -------------------
             (EXACT NAME OF REGISTRANT AS SPECIFIED IN ITS CHARTER)


   California                     0-25034                        77-038741
- ------------------              -----------                 ------------------
(STATE OR OTHER                 (COMMISSION                 (IRS EMPLOYER     
JURISDICTION OF                 FILE NUMBER)                IDENTIFICATION NO.)
INCORPORATION)


                    420 Cowper Street, Palo Alto, CA  94301
                    ---------------------------------------
             (ADDRESS OF PRINCIPAL EXECUTIVE OFFICES AND ZIP CODE)



REGISTRANT'S TELEPHONE NUMBER, INCLUDING AREA CODE:  (415) 813-8200
                                                     --------------

                            MID-PENINSULA BANCORP
                              420 Cowper Street
                            Palo Alto, CA  94301

         -------------------------------------------------------------
         (FORMER NAME OR FORMER ADDRESS, IF CHANGED SINCE LAST REPORT.)

                                                               Page 1 of 4 Pages

 
ITEM 4.   CHANGES IN REGISTRANT'S CERTIFYING ACCOUNTANT.
          --------------------------------------------- 

(a) (i)   KPMG Peat Marwick, LLP ("KPMG"), the Registrant's former independent
          accountants, was dismissed on December 17, 1996.

    (ii)  KPMG's report on the financial statements for both of the past two
          years contained no adverse opinion or a disclaimer of opinion, and was
          not qualified as to uncertainty, audit scope, or accounting
          principles.

    (iii) The decision to change accountants was recommended by the Audit
          Committee and was approved by the Registrant's Board of Directors on
          December 17, 1996.

    (iv)  During the two most recent fiscal years and any subsequent interim
          period preceding the dismissal there were no disagreements with KPMG
          on any matter of accounting principles or practices, financial
          statement disclosure, or auditing scope or procedure, which
          disagreement, if not resolved to the satisfaction of KPMG, would have
          caused it to make reference to the subject matter of the disagreement
          in connection with its reports.

    (v)   KPMG's report on the financial statements for both of the past two
          years contained no adverse opinion or a disclaimer of opinion, and
          was not qualified as to uncertainty, audit scope, or accounting
          principles, except their report dated January 22, 1996, relating to
          the consolidated balance sheets of Mid-Peninsula Bancorp and
          subsidiary as of December 31, 1995, and 1994, and the related
          consolidated statements of operations, changes in shareholders'
          equity, and cash flows for each of the years in the three-year
          period ended December 31, 1995, referenced other auditors. On
          October 7, 1994, the Company acquired San Mateo County Bancorp on a
          pooling-of-interests basis. KPMG did not audit the consolidated
          financial statements of San Mateo County Bancorp as of and for the
          year ended December 31, 1993. Those statements, which are included
          in the 1993 restated consolidated financial statements, were audited
          by other auditors, whose report contained an explanatory paragraph
          regarding the adoption of Statement of Financial Accounting
          Standards (SFAS) No. 109, Accounting for Income Taxes and SFAS No.
          115, Accounting for Certain Investments in Debt and Equity
          Securities. KPMG's report, insofar as it relates to the amounts
          included for San Mateo County Bancorp, is based solely on the report
          of the other auditors.

(b) Coopers & Lybrand, LLP was engaged on December 17, 1996 as the Registrant's
    independent accountants.

ITEM 7.   FINANCIAL STATEMENTS AND EXHIBITS

(c) The following exhibit is attached to this report and incorporated by this
    reference:

    (16)  Letter from KPMG regarding change in certifying accountants

                                                               Page 2 of 4 Pages

 
SIGNATURES

          Pursuant to the requirements of the Securities Exchange Act of 1934,
the registrant has duly caused this report to be signed on its behalf by the
undersigned hereunto duly authorized.

                                         GREATER BAY BANCORP



Date:  December 17, 1996                 /s/ Steven C. Smith
                                         -------------------------------------
                                         Steven C. Smith
                                         Executive Vice President
                                         Chief Operating Officer and
                                         Chief Financial Officer

                                                               Page 3 of 4 Pages

 
December 19, 1996



Securities and Exchange Commission
450 5th Street, N.W.
Washington, D.C.  20549

Ladies and Gentlemen:

We were previously principal accountants for Greater Bay Bancorp (formerly Mid-
Peninsula Bancorp) and under the date of January 22, 1996, we reported on the
consolidated financial statements of Mid-Peninsula Bancorp and subsidiary as of
and for the years ended December 31, 1995 and 1994.  On December 17, 1996, our
appointment as principal accountants was terminated.  We have read Greater Bay
Bancorp's statements included under Item 4 of its Form 8-K dated December 19,
1996, and we agree with such statements, except that we are not in a position 
to agree or disagree with Greater Bay Bancorp's statement that the change was 
recommended and was approved by the Audit Committee of the Board of Directors.
Additionally, we are not in a position to agree or disagree with Greater Bay 
Bancorp's statement that Coopers & Lybrand LLP was engaged on December 17, 
1996 as the Registrant's independent accountants.

Very truly yours,



/s/ KPMG Peat Marwick LLP
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