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Calculate the Greatest Common Factor or GCF of 63, 91, 112 and 122

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The instructions to find the GCF of 63, 91, 112 and 122 are the next:

1. Decompose all numbers into prime factors

633
213
77
1
917
1313
1
1122
562
282
142
77
1
1222
6161
1

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

Prime factors of 63=32 . 7
Prime factors of 91=7 . 13
Prime factors of 112=24 . 7
Prime factors of 122=2 . 61

3. Choose the common prime factors with the lowest exponent

Common prime factors: None

Common prime factors with the lowest exponent: None

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.

Since there are not common prime factors the GCF is 1


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