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Calculate the Greatest Common Factor or GCF of 72 and 3689

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The instructions to find the GCF of 72 and 3689 are the next:

1. Decompose all numbers into prime factors

722
362
182
93
33
1
36897
52717
3131
1

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

Prime factors of 72=23 . 32
Prime factors of 3689=7 . 17 . 31

3. Choose the common prime factors with the lowest exponent

Common prime factors: None

Common prime factors with the lowest exponent: None

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.

Since there are not common prime factors the GCF is 1


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