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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 48, 64, 88 and 108

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The instructions to find the GCF of 48, 64, 88 and 108 are the next:

1. Decompose all numbers into prime factors

482
242
122
62
33
1
642
322
162
82
42
22
1
882
442
222
1111
1
1082
542
273
93
33
1

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

Prime factors of 48=24 . 3
Prime factors of 64=26
Prime factors of 88=23 . 11
Prime factors of 108=22 . 33

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 48, 64, 88 and 108

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