Calculate the Greatest Common Factor or GCF of 2014
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The instructions to find the GCF of 2014 are the next:
1. Decompose all numbers into prime factors
2014 | 2 |
1007 | 19 |
53 | 53 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 2014 | = | 2 . 19 . 53 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 19 , 53
Common prime factors with the lowest exponent: 21, 191, 531
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. 191. 531 = 2014
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