Greeneville, TN Directory Walgreens Claim Listing Walgreens 104 Asheville Hwy, Greeneville,TN 37743Directions423-636-83351650 E Andrew Johnson Hwy, Greeneville,TN 37745Directions423-638-4889104 Asheville Hwy, Greeneville,TN 37743Directions423-636-8335 Health & Medical, Pharmacy Description No description provided.