Calculate the Greatest Common Factor or GCF of 96, 98 and 360
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The instructions to find the GCF of 96, 98 and 360 are the next:
1. Decompose all numbers into prime factors
| 96 | 2 |
| 48 | 2 |
| 24 | 2 |
| 12 | 2 |
| 6 | 2 |
| 3 | 3 |
| 1 |
| 98 | 2 |
| 49 | 7 |
| 7 | 7 |
| 1 |
| 360 | 2 |
| 180 | 2 |
| 90 | 2 |
| 45 | 3 |
| 15 | 3 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 96 | = | 25 . 3 |
| Prime factors of 98 | = | 2 . 72 |
| Prime factors of 360 | = | 23 . 32 . 5 |
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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