Calculate the Greatest Common Factor or GCF of 1800 and 2178
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The instructions to find the GCF of 1800 and 2178 are the next:
1. Decompose all numbers into prime factors
| 1800 | 2 |
| 900 | 2 |
| 450 | 2 |
| 225 | 3 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 2178 | 2 |
| 1089 | 3 |
| 363 | 3 |
| 121 | 11 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1800 | = | 23 . 32 . 52 |
| Prime factors of 2178 | = | 2 . 32 . 112 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 21, 32
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. 32 = 18
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