Kenton is a town in Cimarron County, Oklahoma, United States. Kenton is the westernmost town in Oklahoma. From Kenton, it is approximately 155 miles south to Amarillo, Texas, 237 miles northwe…Kenton is a town in Cimarron County, Oklahoma, United States. Kenton is the westernmost town in Oklahoma. From Kenton, it is approximately 155 miles south to Amarillo, Texas, 237 miles northwest to Colorado Springs, Colorado, 306 miles northwest to Denver, Colorado, 314 miles southwest to Albuquerque, New Mexico, 340 miles northeast to Wichita, Kansas, and 361 miles southeast to Oklahoma City, the nearest major population centers.