Calculate the Greatest Common Factor or GCF of 1026 and 3200
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The instructions to find the GCF of 1026 and 3200 are the next:
1. Decompose all numbers into prime factors
| 1026 | 2 |
| 513 | 3 |
| 171 | 3 |
| 57 | 3 |
| 19 | 19 |
| 1 |
| 3200 | 2 |
| 1600 | 2 |
| 800 | 2 |
| 400 | 2 |
| 200 | 2 |
| 100 | 2 |
| 50 | 2 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1026 | = | 2 . 33 . 19 |
| Prime factors of 3200 | = | 27 . 52 |
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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