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Calculate the Greatest Common Factor or GCF of 852

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The instructions to find the GCF of 852 are the next:

1. Decompose all numbers into prime factors

8522
4262
2133
7171
1

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

Prime factors of 852=22 . 3 . 71

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 71

Common prime factors with the lowest exponent: 22, 31, 711

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. 31. 711 = 852


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