Calculate the Greatest Common Factor or GCF of 196, 282 and 324
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The instructions to find the GCF of 196, 282 and 324 are the next:
1. Decompose all numbers into prime factors
| 196 | 2 |
| 98 | 2 |
| 49 | 7 |
| 7 | 7 |
| 1 |
| 282 | 2 |
| 141 | 3 |
| 47 | 47 |
| 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 196 | = | 22 . 72 |
| Prime factors of 282 | = | 2 . 3 . 47 |
| Prime factors of 324 | = | 22 . 34 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 2
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