They also share history.
The two schools first met Nov. 23, 1887 and nine times over the next 13 years with Fielding Yost's Michigan Men dominating winning eight of the first nine.
Following the Irish win in 1909, Yost refused to schedule Notre Dame and also led an early Big Ten conference boycott of Notre Dame at a time when the Irish wanted to join.
Despite not playing one another for years, Michigan continued to be an influence on Notre Dame as legendary coach Knute Rockne commissioned the construction of Notre Dame Stadium (at one point even threatening resignation to attain funding from administration) patterned after Michigan Stadium.
The teams would not meet again until a home-and-home that the teams split in 1942 and 1943.
The two teams also shared a National Championship controversy in 1947, as each team completed undefeated 9-0 regular seasons. Notre Dame did not attend bowls in those days and concluded its season beating highly-ranked USC 38-7.
The National Championship was awarded to the Irish soon after, as was customary in that time (bowls were literally exhibition). Michigan went on to pound USC 49-0 in the Rose Bowl two months later, igniting a storm that resulted in the beginning of the championship methods we saw in practice until the BCS.
The regular series resumed as a regular tilt in 1978, and the two schools have only missed six years since.
Since the series returned, the schools are tied with a 13-13-1 record.
Saturday's first-ever night game in the Big House (that keeps getting bigger) will give one school a series lead.
Here is a look back at 10 notable games in Notre Dame vs. Michigan history.