Calculate the Greatest Common Factor or GCF of 714
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The instructions to find the GCF of 714 are the next:
1. Decompose all numbers into prime factors
714 | 2 |
357 | 3 |
119 | 7 |
17 | 17 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 714 | = | 2 . 3 . 7 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 7 , 17
Common prime factors with the lowest exponent: 21, 31, 71, 171
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. 171 = 714
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