Ohio State has won 7 National Championships in football
they have 18 national championships most in ncaa
Ohio State has 5 solo championships and 2 shared championships that the school considers titles, so they have 7 total.
From 1912, which is when Ohio State joined the Big Ten, they have won 32 Big Ten Championships.
Penn State- 9 Championships
Penn State joined the B-10 in 1990 and started competing athleticall in the B-10 in 1993. They have won the following B-10 championships in football: 1994, 2005 (shared with Ohio State), 2008 (shared with Ohio State)
They have won 7 National Championships in football. In Basketball They have one two national championships.