EXHIBIT 23.2

                   CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS



The Board of Directors
SJNB Financial Corp.:

We consent to the incorporation by reference in Amendment No. 1 to the
registration statement (no. 333-68336) on Form S-4 of Greater Bay Bancorp of our
report dated January 17, 2001, with respect to the consolidated balance sheets
of SJNB Financial Corp. and subsidiary as of December 31, 2000 and 1999 and the
related consolidated statements of income, shareholders' equity and
comprehensive income, and cash flows for each of the years in the three-year
period ended December 31, 2000 and to the reference to our firm under the
headings "Selected Historical and Pro Forma Financial Data" and "Experts" in the
joint proxy statement/prospectus.


/s/ KPMG LLP

San Francisco, California
September 12, 2001