The first step to finding the common prime factors is to list the prime factors of both numbers. For 12 and 45, the prime factors are:
12 = 2x2x3
45 = 3x3x5
The next step is to identify which prime factors are shared by both. In this case, both use a 3. Thus, 3 is the only common prime factor of 12 and 45.
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The common factors of 45 and 96 are: 1 and 3
The common factors of 20 and 45 are 1 and 5 Factors of 45: 1 and 45, 3 and 15, and 5 and 9 Factors of 20: 1 and 20, 2 and 10, and 4 and 5 So the common factors are 1 and 5.
The common factors of 35 and 45 are: 1 and 5
Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 20: 1, 2, 4, 5, 10, 20 Factors of 45: 1, 3, 5, 9, 15, 45 GCF (12, 20, 45) = 1
1, 3 and 9