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Calculate the Greatest Common Factor or GCF of 456

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The instructions to find the GCF of 456 are the next:

1. Decompose all numbers into prime factors

4562
2282
1142
573
1919
1

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

Prime factors of 456=23 . 3 . 19

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 19

Common prime factors with the lowest exponent: 23, 31, 191

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. 191 = 456


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