Calculate the Greatest Common Factor or GCF of 748
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The instructions to find the GCF of 748 are the next:
1. Decompose all numbers into prime factors
748 | 2 |
374 | 2 |
187 | 11 |
17 | 17 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 748 | = | 22 . 11 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 11 , 17
Common prime factors with the lowest exponent: 22, 111, 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 = 22. 111. 171 = 748
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