Calculate the Greatest Common Factor or GCF of 726
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The instructions to find the GCF of 726 are the next:
1. Decompose all numbers into prime factors
726 | 2 |
363 | 3 |
121 | 11 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 726 | = | 2 . 3 . 112 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 11
Common prime factors with the lowest exponent: 21, 31, 112
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. 112 = 726
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