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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 64, 80, 128 and 130

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The instructions to find the GCF of 64, 80, 128 and 130 are the next:

1. Decompose all numbers into prime factors

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

80	2
40	2
20	2
10	2
5	5
1

128	2
64	2
32	2
16	2
8	2
4	2
2	2
1

130	2
65	5
13	13
1

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

Prime factors of 64	=	2⁶
Prime factors of 80	=	2⁴ . 5
Prime factors of 128	=	2⁷
Prime factors of 130	=	2 . 5 . 13

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 64, 80, 128 and 130

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