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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 56, 64, 104 and 128

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The instructions to find the GCF of 56, 64, 104 and 128 are the next:

1. Decompose all numbers into prime factors

562
282
142
77
1
642
322
162
82
42
22
1
1042
522
262
1313
1
1282
642
322
162
82
42
22
1

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

Prime factors of 56=23 . 7
Prime factors of 64=26
Prime factors of 104=23 . 13
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: 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 56, 64, 104 and 128

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