There are 4 US Post Offices in Rich County serving a total of 2,264 residents equating to 566 residents per post office. It's estimated that approximately 3,614 packages are handled across the 4 county post offices annually. Rich County is a county located in the U.S. state of Utah. As of the 2010 census, the population was 2,264, making it the third-least populous county in Utah. Its county seat is Randolph, and the largest town is Garden City. The county was created in 1864. It was named for an early LDS apostle, Charles C. Rich. The southern half of Bear Lake and the Bear Lake Valley lie on the northern edge of the county. The Bear River Valley lies in most of the eastern portion of the county. The elevation of these valleys is close to 6,000 feet (1,800 m), and the rest of the county is covered by mountains, including the Bear River Range. Because of the high elevation the climate is cold in winter and mild in summer, and the population is limited. There are only four significant settlements in Rich County."