Calculate the Greatest Common Factor or GCF of 500 and 620
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The instructions to find the GCF of 500 and 620 are the next:
1. Decompose all numbers into prime factors
| 500 | 2 |
| 250 | 2 |
| 125 | 5 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 620 | 2 |
| 310 | 2 |
| 155 | 5 |
| 31 | 31 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 500 | = | 22 . 53 |
| Prime factors of 620 | = | 22 . 5 . 31 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 22, 51
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. 51 = 20
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