Exhibit 32




                Certification Pursuant to 18 U.S.C. Section 1350,
                             as Adopted Pursuant to
                  Section 906 of the Sarbanes-Oxley Act of 2002


In connection with the Annual Report of Farmers & Merchants Bancorp (the
"Company") on Form 10-K for the annual period ended December 31, 2004 as filed
with the Securities and Exchange Commission on the date hereof (the "Report"),
we, Kent A. Steinwert, President and Chief Executive Officer, and Stephen W.
Haley, Executive Vice President and Chief Financial Officer of the Company,
certify pursuant to Rule 13a-14(b) or Rule 15d-14(b) under the Securities
Exchange act of 1934 and Section 906 of the Sarbanes-Oxley Act of 2002 (18
U.S.C. $ 1350), that:

1.   the Report fully complies with the requirements of section 13(a) or 15(d)
     of the Securities Exchange Act of 1934 (15 U.S.C. $ 78m or 78o(d)); and

2.   the information contained in the Report fairly presents, in all material
     respects, the financial condition and results of operations of the Company.


March 15, 2005


/s/ Kent A. Steinwert
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Kent A. Steinwert
President & Chief Executive Officer



/s/ Stephen W. Haley
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Stephen W. Haley
Executive Vice President & Chief Financial Officer



A signed original of this written statement required by Section 906 has been
provided to the Company and will be retained by the Company and furnished to the
Securities and Exchange Commission or its staff upon request.