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Calculate the Greatest Common Factor or GCF of 748

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The instructions to find the GCF of 748 are the next:

1. Decompose all numbers into prime factors

7482
3742
18711
1717
1

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

Prime factors of 748=22 . 11 . 17

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 11 , 17

Common prime factors with the lowest exponent: 22, 111, 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 = 22. 111. 171 = 748


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