The Hoyas (7-2, 3-1 Patriot League) led 6-0 at halftime on field goals of 18 and 37 yards by Brett Weiss.
When the teams returned for the third quarter, snow had blanketed the field, hampering the passing game. Kempf scored on a 27-yard run on Georgetown's first drive, then Logan added a 34-yard scamper with 2:37 left for a 19-0 lead.
The Crusaders (4-4, 2-1) finally scored with 1:32 to play on Ryan Taggart's 9-yard run, capping a six-play, 45-yard drive that lasted only 57 seconds.
After the two-point conversion failed, Holy Cross recovered an onside kick. Two plays later, the Hoyas got the ball back on a fumble, one of four the Crusaders lost.
Georgetown's Andrew Schaetzke had six tackles, two sacks and three tackles for loss.
A UCLA football player was suspended indefinitely Friday after he was arrested on suspicion of rape.
The tougher tests await down the road for No. 3 Baylor Bears, but coach Art Briles has seen enough of his Bears to know this is his best team.
A decision has been made that Randy Edsall will not be the football coach at Maryland next season, and discussions are taking place about how and when to separate, a source said Thursday night.
Linebacker Myles Jack, who suffered a season-ending knee injury, said Thursday he decided to leave UCLA and enter the 2016 NFL draft because he wants to be compensated for his skills.
Florida State running back Mario Pender has been released from the hospital but could be given a medical redshirt if he cannot return to the field this season.
The University of Wisconsin agreed to a 10-year deal with Under Armour on Friday worth a total of $96 million in cash and the retail value of products received.