Freeman hit 7-of-9 from 3-point range and was 11-of-15 overall from the field for Georgetown (6-0).
Julian Vaughn added 16 points and nine rebounds for the Hoyas and Hollis Thompson had a double-double with 11 points and 10 rebounds.
J.P. Primm led the Bulldogs (2-3) with 17 points.
Georgetown set the pace early with a 44-27 halftime lead and then played the Bulldogs even in the second half, scoring 43 to UNC-Asheville's 45.
Georgetown shot 51.7 percent from the field as a team to 41.7 percent for the Bulldogs and was 13-of-25 in 3-point attempts.
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