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Calculate the Greatest Common Factor or GCF of 2814

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The instructions to find the GCF of 2814 are the next:

1. Decompose all numbers into prime factors

28142
14073
4697
6767
1

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

Prime factors of 2814=2 . 3 . 7 . 67

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 7 , 67

Common prime factors with the lowest exponent: 21, 31, 71, 671

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. 31. 71. 671 = 2814


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