Calculate the Greatest Common Factor or GCF of 192, 288 and 480
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The instructions to find the GCF of 192, 288 and 480 are the next:
1. Decompose all numbers into prime factors
| 192 | 2 |
| 96 | 2 |
| 48 | 2 |
| 24 | 2 |
| 12 | 2 |
| 6 | 2 |
| 3 | 3 |
| 1 |
| 288 | 2 |
| 144 | 2 |
| 72 | 2 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 480 | 2 |
| 240 | 2 |
| 120 | 2 |
| 60 | 2 |
| 30 | 2 |
| 15 | 3 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 192 | = | 26 . 3 |
| Prime factors of 288 | = | 25 . 32 |
| Prime factors of 480 | = | 25 . 3 . 5 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 25, 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 = 25. 31 = 96
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