Calculate the Greatest Common Factor or GCF of 3200 and 4800
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The instructions to find the GCF of 3200 and 4800 are the next:
1. Decompose all numbers into prime factors
| 3200 | 2 |
| 1600 | 2 |
| 800 | 2 |
| 400 | 2 |
| 200 | 2 |
| 100 | 2 |
| 50 | 2 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 4800 | 2 |
| 2400 | 2 |
| 1200 | 2 |
| 600 | 2 |
| 300 | 2 |
| 150 | 2 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 3200 | = | 27 . 52 |
| Prime factors of 4800 | = | 26 . 3 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 26, 52
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 = 26. 52 = 1600
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