Calculate the Greatest Common Factor or GCF of 126, 189 and 315
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The instructions to find the GCF of 126, 189 and 315 are the next:
1. Decompose all numbers into prime factors
| 126 | 2 |
| 63 | 3 |
| 21 | 3 |
| 7 | 7 |
| 1 |
| 189 | 3 |
| 63 | 3 |
| 21 | 3 |
| 7 | 7 |
| 1 |
| 315 | 3 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 126 | = | 2 . 32 . 7 |
| Prime factors of 189 | = | 33 . 7 |
| Prime factors of 315 | = | 32 . 5 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 7
Common prime factors with the lowest exponent: 32, 71
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 = 32. 71 = 63
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