Calculate the Greatest Common Factor or GCF of 252, 294 and 432
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The instructions to find the GCF of 252, 294 and 432 are the next:
1. Decompose all numbers into prime factors
| 252 | 2 |
| 126 | 2 |
| 63 | 3 |
| 21 | 3 |
| 7 | 7 |
| 1 |
| 294 | 2 |
| 147 | 3 |
| 49 | 7 |
| 7 | 7 |
| 1 |
| 432 | 2 |
| 216 | 2 |
| 108 | 2 |
| 54 | 2 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 252 | = | 22 . 32 . 7 |
| Prime factors of 294 | = | 2 . 3 . 72 |
| Prime factors of 432 | = | 24 . 33 |
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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