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Calculate the Greatest Common Factor or GCF of 14688

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The instructions to find the GCF of 14688 are the next:

1. Decompose all numbers into prime factors

146882
73442
36722
18362
9182
4593
1533
513
1717
1

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

Prime factors of 14688=25 . 33 . 17

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 17

Common prime factors with the lowest exponent: 25, 33, 171

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 = 25. 33. 171 = 14688


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