I assume you are talking about in just Baseball. In that case, neither has won a College World Series.
The University of Alabama football team has won more national championships than the University of Tennessee.
Indiana is farthest east. To travel from Tennessee to Indiana the direction of travel is 6° East of true North.
Tennessee
Tennessee extends further east than Indiana. Tennessee's eastern point is 81 degrees 37' W. Indiana's eastern point is 84 degrees 49' W.
Kansas. Kansas has won 13 national championships and Missouri has won 2.
North Carolina has won 5 national championships, in 1957, 1982, 1993, 2005, 2009. Duke has won 4, in 1991, 1992, 2001 & 2010. Teams with more or the same amount of championships than UNC and Duke: UCLA - 11 Championships Kentucky - 7 Championships Indiana - 5 Championships Connecticut - 4 Championships Kansas - 3 Championships
Purdue has won 4 national championships:1932 men's basketball (voted by Helms Athletic Foundation. NCAA tournament didn't start until 1939)1961 men's golf1999 women's basketball2010 women's golfPurdue has also won 78 conference championships. For more details, see the related links below.
Indiana is farther East Than Tennessee
DUKE
unrecognized: 1914,1927,1928,1931,1939,1956,1985,1989 recognized: 1938,1940,1950,1951,1967,1998 14 total, - only Bama can claim more - they have 18 that they could claim (but only claim 13)
florida
They have won 2 1942 and 1980