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Calculate the Greatest Common Factor or GCF of 3, 12, 27 and 45

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The instructions to find the GCF of 3, 12, 27 and 45 are the next:

1. Decompose all numbers into prime factors

33
1
122
62
33
1
273
93
33
1
453
153
55
1

2. Write all numbers as the product of its prime factors

Prime factors of 3=3
Prime factors of 12=22 . 3
Prime factors of 27=33
Prime factors of 45=32 . 5

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3

Common prime factors with the lowest exponent: 31

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 31 = 3


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