At Northwest Highschool, there are 1472 students in the junior class and 1012 students in the senior class. To let the juniors work with more experienced students, the teachers want to assign the students to committees with the same same number of juniors in each committee and the same number of seniors in each committee. (For example, there might be 2 juniors and 3 seniors in every committee). What is the largest number of committees that can be formed?
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