Calculate the Greatest Common Factor or GCF of 48, 80, 112 and 128
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The instructions to find the GCF of 48, 80, 112 and 128 are the next:
1. Decompose all numbers into prime factors
| 48 | 2 |
| 24 | 2 |
| 12 | 2 |
| 6 | 2 |
| 3 | 3 |
| 1 |
| 80 | 2 |
| 40 | 2 |
| 20 | 2 |
| 10 | 2 |
| 5 | 5 |
| 1 |
| 112 | 2 |
| 56 | 2 |
| 28 | 2 |
| 14 | 2 |
| 7 | 7 |
| 1 |
| 128 | 2 |
| 64 | 2 |
| 32 | 2 |
| 16 | 2 |
| 8 | 2 |
| 4 | 2 |
| 2 | 2 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 48 | = | 24 . 3 |
| Prime factors of 80 | = | 24 . 5 |
| Prime factors of 112 | = | 24 . 7 |
| Prime factors of 128 | = | 27 |
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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