Calculate the Greatest Common Factor or GCF of 728
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The instructions to find the GCF of 728 are the next:
1. Decompose all numbers into prime factors
728 | 2 |
364 | 2 |
182 | 2 |
91 | 7 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 728 | = | 23 . 7 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 7 , 13
Common prime factors with the lowest exponent: 23, 71, 131
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 = 23. 71. 131 = 728
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