Graham County is a county in the southeastern part of the U.S. state of Arizona. As of the 2020 census, the population was 38,533, making it the third-least populous county in Arizona. The county seat is Safford. Graham County composes the Safford, Arizona Micropolitan Statistical Area. The county is home to several organizations including Eastern Arizona College and the Mount Graham International Observatory, which includes one of the world's largest and most powerful telescopes.