The victory was the 11th straight for the Wildcats (18-11, 14-1) and clinched the outright Southern Conference regular season title - their 23rd overall and third straight.
Tyrone Outlaw's layup for Greensboro (13-17, 6-9) cut the score to 52-34 with 14:23 to play and that was as close as the Spartans would get.
Davidson shot 13 of 27 from beyond the arc while Greensboro shot just 1 of 12. The Wildcats made 5 of 6 3-pointers for a 15-4 run near the end of the first half that led to a 44-25 halftime advantage.
De'Mon Brooks had 16 points and nine rebounds, and Tyler Kalinoski was 4 of 7 from long distance with 14 points.
RJ White had 16 points and 10 rebounds for Greensboro.