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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 28, 64, 92 and 96

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The instructions to find the GCF of 28, 64, 92 and 96 are the next:

1. Decompose all numbers into prime factors

282
142
77
1
642
322
162
82
42
22
1
922
462
2323
1
962
482
242
122
62
33
1

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

Prime factors of 28=22 . 7
Prime factors of 64=26
Prime factors of 92=22 . 23
Prime factors of 96=25 . 3

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 28, 64, 92 and 96

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