Greer is a city in Greenville and Spartanburg counties in the U.S. state of South Carolina. The population was 35,308 as of the 2020 census Greer is part of the Greenville–Anderson–Mauldin Metropolitan …Greer is a city in Greenville and Spartanburg counties in the U.S. state of South Carolina. The population was 35,308 as of the 2020 census Greer is part of the Greenville–Anderson–Mauldin Metropolitan Statistical Area. The city is additionally part of the Greenville-Spartanburg-Anderson, SC Combined Statistical Area in Upstate South Carolina.