Calculate the Greatest Common Factor or GCF of 216 and 324
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The instructions to find the GCF of 216 and 324 are the next:
1. Decompose all numbers into prime factors
| 216 | 2 |
| 108 | 2 |
| 54 | 2 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 324 | 2 |
| 162 | 2 |
| 81 | 3 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 216 | = | 23 . 33 |
| Prime factors of 324 | = | 22 . 34 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 33
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 = 22. 33 = 108
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