Calculate the Greatest Common Factor or GCF of 170 and 663
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The instructions to find the GCF of 170 and 663 are the next:
1. Decompose all numbers into prime factors
170 | 2 |
85 | 5 |
17 | 17 |
1 |
663 | 3 |
221 | 13 |
17 | 17 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 170 | = | 2 . 5 . 17 |
Prime factors of 663 | = | 3 . 13 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 17
Common prime factors with the lowest exponent: 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 = 171 = 17
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