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Sayre is a small city in, and the county seat of, Beckham County, in western Oklahoma, United States. It is halfway between Oklahoma City, and Amarillo, Texas, on Interstate 40 and the former U.S. Route 66. The population was 4,375 at the 2010 census, the largest recorded by a census since Sayre's founding. The total was an increase of 6.3 percent from the 2000 census.