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Calculate the Greatest Common Factor or GCF of 72 and 2705

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The instructions to find the GCF of 72 and 2705 are the next:

1. Decompose all numbers into prime factors

722
362
182
93
33
1
27055
541541
1

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

Prime factors of 72=23 . 32
Prime factors of 2705=5 . 541

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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