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Calculate the Greatest Common Factor or GCF of 1164 and 2808

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The instructions to find the GCF of 1164 and 2808 are the next:

1. Decompose all numbers into prime factors

11642
5822
2913
9797
1
28082
14042
7022
3513
1173
393
1313
1

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

Prime factors of 1164=22 . 3 . 97
Prime factors of 2808=23 . 33 . 13

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3

Common prime factors with the lowest exponent: 22, 31

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. 31 = 12


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