Calculate the Greatest Common Factor or GCF of 1160 and 4100
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The instructions to find the GCF of 1160 and 4100 are the next:
1. Decompose all numbers into prime factors
| 1160 | 2 |
| 580 | 2 |
| 290 | 2 |
| 145 | 5 |
| 29 | 29 |
| 1 |
| 4100 | 2 |
| 2050 | 2 |
| 1025 | 5 |
| 205 | 5 |
| 41 | 41 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1160 | = | 23 . 5 . 29 |
| Prime factors of 4100 | = | 22 . 52 . 41 |
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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