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Calculate the Greatest Common Factor or GCF of 35, 56, 91 and 124

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The instructions to find the GCF of 35, 56, 91 and 124 are the next:

1. Decompose all numbers into prime factors

355
77
1
562
282
142
77
1
917
1313
1
1242
622
3131
1

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

Prime factors of 35=5 . 7
Prime factors of 56=23 . 7
Prime factors of 91=7 . 13
Prime factors of 124=22 . 31

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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