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Calculate the Greatest Common Factor or GCF of 825

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The instructions to find the GCF of 825 are the next:

1. Decompose all numbers into prime factors

8253
2755
555
1111
1

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

Prime factors of 825=3 . 52 . 11

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3 , 5 , 11

Common prime factors with the lowest exponent: 31, 52, 111

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 = 31. 52. 111 = 825


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