Calculate the Greatest Common Factor or GCF of 32, 80 and 192
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The instructions to find the GCF of 32, 80 and 192 are the next:
1. Decompose all numbers into prime factors
| 32 | 2 |
| 16 | 2 |
| 8 | 2 |
| 4 | 2 |
| 2 | 2 |
| 1 |
| 80 | 2 |
| 40 | 2 |
| 20 | 2 |
| 10 | 2 |
| 5 | 5 |
| 1 |
| 192 | 2 |
| 96 | 2 |
| 48 | 2 |
| 24 | 2 |
| 12 | 2 |
| 6 | 2 |
| 3 | 3 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 32 | = | 25 |
| Prime factors of 80 | = | 24 . 5 |
| Prime factors of 192 | = | 26 . 3 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 24
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 = 24 = 16
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