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Calculate the Greatest Common Factor or GCF of 204 and 714

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The instructions to find the GCF of 204 and 714 are the next:

1. Decompose all numbers into prime factors

2042
1022
513
1717
1
7142
3573
1197
1717
1

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

Prime factors of 204=22 . 3 . 17
Prime factors of 714=2 . 3 . 7 . 17

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 17

Common prime factors with the lowest exponent: 21, 31, 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 = 21. 31. 171 = 102


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