Calculate the Greatest Common Factor or GCF of 108, 200 and 290
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The instructions to find the GCF of 108, 200 and 290 are the next:
1. Decompose all numbers into prime factors
| 108 | 2 |
| 54 | 2 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 200 | 2 |
| 100 | 2 |
| 50 | 2 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 290 | 2 |
| 145 | 5 |
| 29 | 29 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 108 | = | 22 . 33 |
| Prime factors of 200 | = | 23 . 52 |
| Prime factors of 290 | = | 2 . 5 . 29 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 2
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