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Calculate the Greatest Common Factor or GCF of 12100

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The instructions to find the GCF of 12100 are the next:

1. Decompose all numbers into prime factors

121002
60502
30255
6055
12111
1111
1

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

Prime factors of 12100=22 . 52 . 112

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 5 , 11

Common prime factors with the lowest exponent: 22, 52, 112

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. 52. 112 = 12100


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