About Cullman Primary Care. Cullman Primary Care is a group practice with 6 locations. Currently, Cullman Primary Care's 24 physicians cover 23 specialty areas of medicine. Cullman Primary Care Office Locations. Showing 1-5 of 6 Locations. Cullman Primary Care. 1800 Alabama Hwy 157 Ste 301 Cullman, AL 35058 (256) 736-5507..