Calculate the Greatest Common Factor or GCF of 510 and 912
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The instructions to find the GCF of 510 and 912 are the next:
1. Decompose all numbers into prime factors
| 510 | 2 |
| 255 | 3 |
| 85 | 5 |
| 17 | 17 |
| 1 |
| 912 | 2 |
| 456 | 2 |
| 228 | 2 |
| 114 | 2 |
| 57 | 3 |
| 19 | 19 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 510 | = | 2 . 3 . 5 . 17 |
| Prime factors of 912 | = | 24 . 3 . 19 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 21, 31
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 = 21. 31 = 6
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