Calculate the Greatest Common Factor or GCF of 300, 350 and 496
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The instructions to find the GCF of 300, 350 and 496 are the next:
1. Decompose all numbers into prime factors
| 300 | 2 |
| 150 | 2 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 350 | 2 |
| 175 | 5 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 496 | 2 |
| 248 | 2 |
| 124 | 2 |
| 62 | 2 |
| 31 | 31 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 300 | = | 22 . 3 . 52 |
| Prime factors of 350 | = | 2 . 52 . 7 |
| Prime factors of 496 | = | 24 . 31 |
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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