Washington, DC (SportsNetwork.com) - Brannen Greene scored 19 points and No. 10 Kansas survived to take a 75-70 victory over Georgetown on Wednesday.

Frank Mason III scored 14 points and Perry Ellis gave 13 points and 10 rebounds for the Jayhawks (7-1), who have won six straight after a loss to Kentucky on Nov. 18.

Joshua Smith had 20 points and five rebounds, L.J. Peak scored 18 and D'Vauntes Smith-Rivera gave 10 points, nine rebounds and seven assists for the Hoyas (5-3), who have lost three of their last four.

"We have a lot of guys who can be aggressive at different times," Smith said. "With this game, and how they were playing me, I had to be more aggressive."

After Greene hit a 3-pointer for a 68-63 lead with 2 1/2 minutes to play, Smith countered with two free throws and a turnover allowed Georgetown to make it a one-point game after Jabril Trawick made a layup.

"He made shots, but even if he hadn't made shots, he still would have played pretty well," Kansas head coach Bill Self said of Greene.

The Hoyas, though, failed to score on their next four possessions, missing three 3-pointers and turning the ball over once, as the Jayhawks made their free throws down the stretch for the victory.

Kansas used an 8-0 run to create some space in the first half, as Wayne Selden Jr. hit a 3-pointer to cap the surge for a 22-11 lead, but an 11-0 run from Georgetown gave the team a 30-29 lead with under two minutes to play.

Kansas, though, scored the final three points of the half to take a 34-32 lead into the break.

The score stayed close for much of the second half, but a 14-4 run from the Jayhawks gave the team a 58-51 advantage with 9 1/2 minutes to play.

Game Notes

Kansas hosts Utah on Saturday ... Georgetown hosts Radford on Saturday ... Kansas has won three of the four meetings with Georgetown ... The Hoyas shot 40.4 percent while the Jayhawks made just 37.7 percent of their shots. However, Kansas was 10-for-17 from long-range, while Georgetown went just 5- for-16.