Actually the current running record of 71 home wins belongs to Lane Community College in Eugene, Oregon and still running.
http://www.lanetitans.net/Basketball-women
For Men's Division 1, the Jayhawks have a 67 game home winning streak as of January 2, 2011.
The UConn women's basketball team has won 72 straight home games in a row and counting.
In NCAA Division I
Kentucky won 129 straight home games from 1943-55, a streak that was ended by Georgia Tech 59-58 in Memorial Coliseum on Jan. 8, 1955.
Other small colleges
The Wayland Baptist University women's basketball team achieved a winning streak of 131 games which started November 7, 1953 and ended March 20, 1958 (ended by Nashville Business School 46-42)
Men- Division I - UCLA with 88 wins (1971-1974)
Women- Division I - UCONN with 90 wins
North Caolina
Duke
Kentucky
UCLA's 88 game win streak is the longest in mens basketball
UCLA has the longest overall winning streak. However the Butler Bulldogs have the longest CURRENT winning streak in men's division 1 college basketball. As of 3/26/2010 Butler has 23 consecutive wins.
womens college basketball. uconn
The longest Division I Basketball road losing streak against one team now belongs to Clemson, which has lost 49 straight at North Carolina.
Uconn
The University of California-Los Angeles (UCLA) has a current win streak of 88 games. However,on December 21,2010 , The University of Connecticut women's basketball,with an 88 game win streak, team beat Florida State University to get the record of the longest Division 1 win streak,89 games.
towson university
As of Apr 18, 2013, Bryant University has the longest Division I Baseball winning streak, which is 19.
88 wins by UCLA from 1970-1974
Utah state
the longest win streak in Division 1 College Football history is: Oklahoma - 47 wins - 1953-1957.
Kentucky wildcats