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Calculate the Greatest Common Factor or GCF of 52 and 2709

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The instructions to find the GCF of 52 and 2709 are the next:

1. Decompose all numbers into prime factors

522
262
1313
1
27093
9033
3017
4343
1

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

Prime factors of 52=22 . 13
Prime factors of 2709=32 . 7 . 43

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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