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Calculate the Greatest Common Factor or GCF of 306 and 674

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The instructions to find the GCF of 306 and 674 are the next:

1. Decompose all numbers into prime factors

3062
1533
513
1717
1
6742
337337
1

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

Prime factors of 306=2 . 32 . 17
Prime factors of 674=2 . 337

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 21

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 = 2


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