McCracken County is a county located in the far west portion of U.S. state of Kentucky. As of the 2020 census, the population was 67,875. The county seat and only municipality is Paducah. McCracken County was the 78th county formed in the state, having been created in 1825. It is part of the historic Jackson Purchase, territory sold by the Chickasaw peopl…McCracken County is a county located in the far west portion of U.S. state of Kentucky. As of the 2020 census, the population was 67,875. The county seat and only municipality is Paducah. McCracken County was the 78th county formed in the state, having been created in 1825. It is part of the historic Jackson Purchase, territory sold by the Chickasaw people to General Andrew Jackson and Governor Isaac Shelby; this territory was located at the extreme western end of Kentucky.