Common factors are found by comparing the factors of sets of numbers. The common factor of any group of consecutive numbers is 1. I suspect you might want to know the factors of those numbers rather than the common factors. If so, ask that question. It has been answered here many times before.
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49 and 100 share no common factors aside from 1.
1 and 5 are their only common factors.
The common factors are: 1, 2, 4
Since 100 is a factor of 200, all of its factors are common.
The common factors of 100 and 150 are: 1, 2, 5, 10, 25, and 50