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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 64, 72 and 140

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The instructions to find the GCF of 64, 72 and 140 are the next:

1. Decompose all numbers into prime factors

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

72	2
36	2
18	2
9	3
3	3
1

140	2
70	2
35	5
7	7
1

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

Prime factors of 64	=	2⁶
Prime factors of 72	=	2³ . 3²
Prime factors of 140	=	2² . 5 . 7

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 2²

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 = 2² = 4

Also calculates the:

Least Common Multiple or LCM of 64, 72 and 140

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