Calculate the Greatest Common Factor or GCF of 52 and 2600
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The instructions to find the GCF of 52 and 2600 are the next:
1. Decompose all numbers into prime factors
| 52 | 2 |
| 26 | 2 |
| 13 | 13 |
| 1 |
| 2600 | 2 |
| 1300 | 2 |
| 650 | 2 |
| 325 | 5 |
| 65 | 5 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 52 | = | 22 . 13 |
| Prime factors of 2600 | = | 23 . 52 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 13
Common prime factors with the lowest exponent: 22, 131
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 = 22. 131 = 52
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