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Calculate the Greatest Common Factor or GCF of 72 and 2919

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The instructions to find the GCF of 72 and 2919 are the next:

1. Decompose all numbers into prime factors

722
362
182
93
33
1
29193
9737
139139
1

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

Prime factors of 72=23 . 32
Prime factors of 2919=3 . 7 . 139

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3

Common prime factors with the lowest exponent: 31

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 = 31 = 3


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