High Quality Content by WIKIPEDIA articles! Greenbrier High School is a comprehensive public high school serving students in grades ten through twelve in Greenbrier, Arkansas, United States. It is in Faulkner County and is the sole high school administered by the Greenbrier School District. In 2012, Greenbrier was ranked ranked No. 532 of 2008 high schools in the Challenge Index high school scoring system and ranked 10th in Arkansas with an index score of 2.677, which is the number of college-level tests given at a school in 2011 divided by the number of graduates that year.