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Calculate the Greatest Common Factor or GCF of 54, 63 and 180

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The instructions to find the GCF of 54, 63 and 180 are the next:

1. Decompose all numbers into prime factors

542
273
93
33
1
633
213
77
1
1802
902
453
153
55
1

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

Prime factors of 54=2 . 33
Prime factors of 63=32 . 7
Prime factors of 180=22 . 32 . 5

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3

Common prime factors with the lowest exponent: 32

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 = 32 = 9


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