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Calculate the Greatest Common Factor or GCF of 828

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The instructions to find the GCF of 828 are the next:

1. Decompose all numbers into prime factors

8282
4142
2073
693
2323
1

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

Prime factors of 828=22 . 32 . 23

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 23

Common prime factors with the lowest exponent: 22, 32, 231

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. 32. 231 = 828


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