Calculate the Greatest Common Factor or GCF of 195 and 520
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The instructions to find the GCF of 195 and 520 are the next:
1. Decompose all numbers into prime factors
| 195 | 3 |
| 65 | 5 |
| 13 | 13 |
| 1 |
| 520 | 2 |
| 260 | 2 |
| 130 | 2 |
| 65 | 5 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 195 | = | 3 . 5 . 13 |
| Prime factors of 520 | = | 23 . 5 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5 , 13
Common prime factors with the lowest exponent: 51, 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 = 51. 131 = 65
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