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Calculate the Greatest Common Factor or GCF of 28, 45, 86 and 124

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The instructions to find the GCF of 28, 45, 86 and 124 are the next:

1. Decompose all numbers into prime factors

282
142
77
1
453
153
55
1
862
4343
1
1242
622
3131
1

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

Prime factors of 28=22 . 7
Prime factors of 45=32 . 5
Prime factors of 86=2 . 43
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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