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Calculate the Greatest Common Factor or GCF of 52 and 2652

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The instructions to find the GCF of 52 and 2652 are the next:

1. Decompose all numbers into prime factors

522
262
1313
1
26522
13262
6633
22113
1717
1

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

Prime factors of 52=22 . 13
Prime factors of 2652=22 . 3 . 13 . 17

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 13

Common prime factors with the lowest exponent: 22, 131

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.

GCF = 22. 131 = 52


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