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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 64 and 120

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The instructions to find the GCF of 64 and 120 are the next:

1. Decompose all numbers into prime factors

642
322
162
82
42
22
1
1202
602
302
153
55
1

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

Prime factors of 64=26
Prime factors of 120=23 . 3 . 5

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 23

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 = 23 = 8

Also calculates the:

Least Common Multiple or LCM of 64 and 120

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