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Calculate the Greatest Common Factor or GCF of 13, 18, 21 and 28

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The instructions to find the GCF of 13, 18, 21 and 28 are the next:

1. Decompose all numbers into prime factors

1313
1
182
93
33
1
213
77
1
282
142
77
1

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

Prime factors of 13=13
Prime factors of 18=2 . 32
Prime factors of 21=3 . 7
Prime factors of 28=22 . 7

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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