The 1989 Booth Award winner, Greenough was a three-year team captain and received All-Conference honors all four years for the Bearcats. The NCAA Division III leader in total offense in 1987, Greenough held 16 school records at the time of his graduation. He still holds school records for completions in a game (38) and a career (571), as well as career records for passing attempts (1,024), passing yards (7,872), and total plays (1,260).