Calculate the Greatest Common Factor or GCF of 735 and 1715
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The instructions to find the GCF of 735 and 1715 are the next:
1. Decompose all numbers into prime factors
| 735 | 3 |
| 245 | 5 |
| 49 | 7 |
| 7 | 7 |
| 1 |
| 1715 | 5 |
| 343 | 7 |
| 49 | 7 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 735 | = | 3 . 5 . 72 |
| Prime factors of 1715 | = | 5 . 73 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5 , 7
Common prime factors with the lowest exponent: 51, 72
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. 72 = 245
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