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In order to find the common factors of 144 and 100, we follow the following steps:
Step 1: Find the HCF of 144 and 100.
Prime factorization of 144 = 2x2x2x2x3x3
Prime factorization of 100 = 2x2x5x5
HCF(144,100) = 2x2 = 22 = 4.
Step 2: Find the factors of HCF(144,100) i.e. 4. The factors of 4 are the common factors of 144 and 100.
Factors of 4 are 1, 2 and 4.
So, common factors of 144 and 100 are 1, 2 and 4.
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