Calculate the Greatest Common Factor or GCF of 1575 and 4800
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The instructions to find the GCF of 1575 and 4800 are the next:
1. Decompose all numbers into prime factors
| 1575 | 3 |
| 525 | 3 |
| 175 | 5 |
| 35 | 5 |
| 7 | 7 |
| 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 1575 | = | 32 . 52 . 7 |
| Prime factors of 4800 | = | 26 . 3 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5
Common prime factors with the lowest exponent: 31, 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 = 31. 52 = 75
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