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Calculate the Greatest Common Factor or GCF of 21, 42, 44 and 46

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The instructions to find the GCF of 21, 42, 44 and 46 are the next:

1. Decompose all numbers into prime factors

213
77
1
422
213
77
1
442
222
1111
1
462
2323
1

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

Prime factors of 21=3 . 7
Prime factors of 42=2 . 3 . 7
Prime factors of 44=22 . 11
Prime factors of 46=2 . 23

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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