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 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.
UCLA's 88 game win streak is the longest in mens basketball
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