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Calculate the Greatest Common Factor or GCF of 56, 98 and 168

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The instructions to find the GCF of 56, 98 and 168 are the next:

1. Decompose all numbers into prime factors

562
282
142
77
1
982
497
77
1
1682
842
422
213
77
1

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

Prime factors of 56=23 . 7
Prime factors of 98=2 . 72
Prime factors of 168=23 . 3 . 7

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 7

Common prime factors with the lowest exponent: 21, 71

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. 71 = 14


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