The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. For them to be common, they need to be compared to another set of factors.
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49 and 100 share no common factors aside from 1.
Since 100 is a factor of 200, all of its factors are common.
1 and 5 are their only common factors.
The common factors are: 1, 2, 4
The common factors of 100 and 150 are: 1, 2, 5, 10, 25, and 50