Located in the far western part of the county, it borders the following townships: It is the most westerly township in the county.

No municipalities are located in Greenfield Township.

Statewide, other Greenfield Townships are located in Fairfield and Huron Counties.

The township is governed by a three-member board of trustees, who are elected in November of odd-numbered years to a four-year term beginning on the following January 1.

There is also an elected township fiscal officer,[4] who serves a four-year term beginning on April 1 of the year after the election, which is held in November of the year before the presidential election.