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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 54, 64 and 188

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The instructions to find the GCF of 54, 64 and 188 are the next:

1. Decompose all numbers into prime factors

54	2
27	3
9	3
3	3
1

64	2
32	2
16	2
8	2
4	2
2	2
1

188	2
94	2
47	47
1

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

Prime factors of 54	=	2 . 3³
Prime factors of 64	=	2⁶
Prime factors of 188	=	2² . 47

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 2¹

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 = 2¹ = 2

Also calculates the:

Least Common Multiple or LCM of 54, 64 and 188

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