Chester, IdahoChester is an unincorporated community in Fremont County, Idaho, United States. Chester is located on U.S. Route 20, northeast of St. Anthony. Chester has a post office with ZIP code 83421.HistoryChester's population was estimated at 250 in 1909, and was 100 in 1960.ClimateAccording to the Köppen climate classification, Chester has a warm-summer humid continental climate.