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Calculate the Greatest Common Factor or GCF of 52 and 1924

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The instructions to find the GCF of 52 and 1924 are the next:

1. Decompose all numbers into prime factors

522
262
1313
1
19242
9622
48113
3737
1

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

Prime factors of 52=22 . 13
Prime factors of 1924=22 . 13 . 37

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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