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.
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