The first step to solving this problem is to identify the factors of 100. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. Next, we need to find the factors of 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. To find the common factors of 100 and 36, we need to find the numbers that appear in both lists. The common factors of 100 and 36 are 1, 2, 4, and 36. Therefore, the common factors of 100 and 36 are 1, 2, and 4.

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