what county is fairfield mt in?>
Sponsored Topics. Fairfield is a town in Teton County, Montana, United States. The population was 659 at the 2000 census. Fairfield is located at 47Â°36â²55â³N 111Â°58â²51â³W / 47.61528Â°N 111.98083Â°W / 47.61528; -111.98083 (47.615250, -111.980859). According to the United States Census Bureau, the town has a total area of 0.3 square miles (0.8 kmÂ²), all of it land.