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Calculate the Greatest Common Factor or GCF of 2112

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The instructions to find the GCF of 2112 are the next:

1. Decompose all numbers into prime factors

21122
10562
5282
2642
1322
662
333
1111
1

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

Prime factors of 2112=26 . 3 . 11

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 11

Common prime factors with the lowest exponent: 26, 31, 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 = 26. 31. 111 = 2112


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