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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 32, 56, 90 and 128

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The instructions to find the GCF of 32, 56, 90 and 128 are the next:

1. Decompose all numbers into prime factors

322
162
82
42
22
1
562
282
142
77
1
902
453
153
55
1
1282
642
322
162
82
42
22
1

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

Prime factors of 32=25
Prime factors of 56=23 . 7
Prime factors of 90=2 . 32 . 5
Prime factors of 128=27

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 32, 56, 90 and 128

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