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Calculate the Greatest Common Factor or GCF of 2002 and 2618

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The instructions to find the GCF of 2002 and 2618 are the next:

1. Decompose all numbers into prime factors

20022
10017
14311
1313
1
26182
13097
18711
1717
1

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

Prime factors of 2002=2 . 7 . 11 . 13
Prime factors of 2618=2 . 7 . 11 . 17

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 7 , 11

Common prime factors with the lowest exponent: 21, 71, 111

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 = 21. 71. 111 = 154


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