Calculate the Greatest Common Factor or GCF of 30, 40, 70 and 108
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The instructions to find the GCF of 30, 40, 70 and 108 are the next:
1. Decompose all numbers into prime factors
| 30 | 2 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 40 | 2 |
| 20 | 2 |
| 10 | 2 |
| 5 | 5 |
| 1 |
| 70 | 2 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 108 | 2 |
| 54 | 2 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 30 | = | 2 . 3 . 5 |
| Prime factors of 40 | = | 23 . 5 |
| Prime factors of 70 | = | 2 . 5 . 7 |
| Prime factors of 108 | = | 22 . 33 |
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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