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 Quarterly Report of Farmers & Merchants Bancorp (the
"Company") on Form 10-Q for the quarterly period ended June 30, 2004 as filed
with the Securities and Exchange Commission on the date hereof (the "Report"),
I, Kent A. Steinwert, President and Chief Executive Officer of the Company,
certify pursuant to Rule 13a-14(b) and section 1350 of chapter 63 of title 19 of
the United States Code, as adopted pursuant to Section 906 of the Sarbanes-Oxley
Act of 2002, that, to my knowledge:

(i)  the Report fully complies with the requirements of section 13(a) or 15(d)
     of the Securities Exchange Act of 1934, and

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




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

                                         August 6, 2004



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.






                                                                     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 Quarterly Report of Farmers & Merchants Bancorp (the
"Company") on Form 10-Q for the quarterly period ended June 30, 2004 as filed
with the Securities and Exchange Commission on the date hereof (the "Report"),
I, Stephen W. Haley, Executive Vice President and Chief Financial Officer of the
Company, certify pursuant to Rule 13a-14(b) and section 1350 of chapter 63 of
title 19 of the United States Code, as adopted pursuant to Section 906 of the
Sarbanes-Oxley Act of 2002, that, to my knowledge:

(iii) the Report fully complies with the requirements of section 13(a) or 15(d)
     of the Securities Exchange Act of 1934, and

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




                                                /s/ Stephen W. Haley
                                               ---------------------------
                                                Stephen W. Haley
                                                Executive Vice President & CFO

                                                August 6, 2004




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.