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Calculate the Greatest Common Factor or GCF of 312

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The instructions to find the GCF of 312 are the next:

1. Decompose all numbers into prime factors

3122
1562
782
393
1313
1

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

Prime factors of 312=23 . 3 . 13

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 13

Common prime factors with the lowest exponent: 23, 31, 131

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 = 23. 31. 131 = 312


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