Calculate the Greatest Common Factor or GCF of 1705
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The instructions to find the GCF of 1705 are the next:
1. Decompose all numbers into prime factors
1705 | 5 |
341 | 11 |
31 | 31 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 1705 | = | 5 . 11 . 31 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5 , 11 , 31
Common prime factors with the lowest exponent: 51, 111, 311
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 = 51. 111. 311 = 1705
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