Greenback is a city in Loudon County, Tennessee, United States. Its population was at 1,064, according to the 2010 census. It is included in the Knoxville, Tennessee Metropolitan Statistical Area.
Greenback is located at 35°39′21″N 84°09′54″W / 35.655751°N 84.164898°W / 35.655751; -84.164898 (35.655751, -84.164898). The city is centered around the junction of Tennessee State Route 95 and Morganton Road, with the greater community extending to U.S. Route 411 to the south and U.S. Route 321 to the north.
According to the United States Census Bureau, the city has a total area of 7.2 square miles (18.7 km2), of which, 7.1 square miles (18.3 km2) of it is land and 0.1 square miles (0.3 km2) of it (1.80%) is water.