There are 5 US Post Offices in Garfield County serving a total of 4,115 residents equating to 823 residents per post office. It's estimated that approximately 6,568 packages are handled across the 5 county post offices annually. Garfield County is a county located in the U.S. state of Utah. As of the 2010 census, the population was 5,172, making it the fifth-least populous county in Utah. Its county seat and largest city is Panguitch."