Calculate the Greatest Common Factor or GCF of 2200 and 2750
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The instructions to find the GCF of 2200 and 2750 are the next:
1. Decompose all numbers into prime factors
| 2200 | 2 |
| 1100 | 2 |
| 550 | 2 |
| 275 | 5 |
| 55 | 5 |
| 11 | 11 |
| 1 |
| 2750 | 2 |
| 1375 | 5 |
| 275 | 5 |
| 55 | 5 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 2200 | = | 23 . 52 . 11 |
| Prime factors of 2750 | = | 2 . 53 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5 , 11
Common prime factors with the lowest exponent: 21, 52, 111
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 = 21. 52. 111 = 550
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