There are 3 US Post Offices in Kane County serving a total of 6,485 residents equating to 2,162 residents per post office. It's estimated that approximately 10,351 packages are handled across the 3 county post offices annually. Kane County is a county located in the U.S. state of Utah. As of the 2010 census, the population was 7,125. Its county seat and largest city is Kanab. The county was named for Col. Thomas L. Kane, a friend of the Mormon settlers."