| Document and Entity Information | Nov. 14, 2023 |
| Cover [Abstract] | |
| Document Type | 8-K |
| Amendment Flag | false |
| Document Period End Date | Nov. 14, 2023 |
| Entity File Number | 000-26099 |
| Entity Registrant Name | Farmers & Merchants Bancorp |
| Entity Central Index Key | 0001085913 |
| Entity Incorporation, State or Country Code | DE |
| Entity Tax Identification Number | 94-3327828 |
| Entity Address, Address Line One | 111 West Pine Street |
| Entity Address, City or Town | Lodi |
| Entity Address, State or Province | CA |
| Entity Address, Postal Zip Code | 95240 |
| City Area Code | 209 |
| Local Phone Number | 367-2300 |
| Entity Emerging Growth Company | false |
| Written Communications | false |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
