Calculate the Greatest Common Factor or GCF of 705
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The instructions to find the GCF of 705 are the next:
1. Decompose all numbers into prime factors
705 | 3 |
235 | 5 |
47 | 47 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 705 | = | 3 . 5 . 47 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5 , 47
Common prime factors with the lowest exponent: 31, 51, 471
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 = 31. 51. 471 = 705
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