Calculate the Greatest Common Factor or GCF of 16, 28, 44 and 68
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The instructions to find the GCF of 16, 28, 44 and 68 are the next:
1. Decompose all numbers into prime factors
| 16 | 2 |
| 8 | 2 |
| 4 | 2 |
| 2 | 2 |
| 1 |
| 28 | 2 |
| 14 | 2 |
| 7 | 7 |
| 1 |
| 44 | 2 |
| 22 | 2 |
| 11 | 11 |
| 1 |
| 68 | 2 |
| 34 | 2 |
| 17 | 17 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 16 | = | 24 |
| Prime factors of 28 | = | 22 . 7 |
| Prime factors of 44 | = | 22 . 11 |
| Prime factors of 68 | = | 22 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 22
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 = 4
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