Calculate the Greatest Common Factor or GCF of 105 and 1515
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The instructions to find the GCF of 105 and 1515 are the next:
1. Decompose all numbers into prime factors
105 | 3 |
35 | 5 |
7 | 7 |
1 |
1515 | 3 |
505 | 5 |
101 | 101 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 105 | = | 3 . 5 . 7 |
Prime factors of 1515 | = | 3 . 5 . 101 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5
Common prime factors with the lowest exponent: 31, 51
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 = 15
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