GCF for 9, 12 and 18
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 9, 12 and 18?
Answer
GCF of 9, 12 and 18 is
3
Common factors: 1, 3
3 divides all three: 9 ÷ 3 = 3, 12 ÷ 3 = 4, 18 ÷ 3 = 6 — and 3, 4 and 6 have no factor but 1 common to all of them, so no larger number divides all three.
9 = 32
12 = 22 × 3
18 = 2 × 32
| Prime | 9 | 12 | 18 | Lowest power |
|---|---|---|---|---|
| 2 | — | 22 | 2 | — |
| 3 | 32 | 3 | 32 | 3 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 3
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See Also
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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GCF Table
| 1st | 2nd | 3rd | GCF |
|---|---|---|---|
| 3 | 9 | 12 | 3 |
| 4 | 9 | 12 | 1 |
| 5 | 9 | 12 | 1 |
| 6 | 9 | 12 | 3 |
| 7 | 9 | 12 | 1 |
| 8 | 9 | 12 | 1 |
| 9 | 9 | 12 | 3 |
| 9 | 10 | 12 | 1 |
| 9 | 11 | 12 | 1 |
| 9 | 12 | 12 | 3 |
| 9 | 12 | 13 | 1 |
| 9 | 12 | 14 | 1 |
| 9 | 12 | 15 | 3 |
| 9 | 12 | 16 | 1 |
| 9 | 12 | 17 | 1 |
| 9 | 12 | 18 | 3 |
| 9 | 12 | 19 | 1 |
| 9 | 12 | 20 | 1 |
| 9 | 12 | 21 | 3 |
| 9 | 12 | 22 | 1 |
| 9 | 12 | 23 | 1 |
| 9 | 12 | 24 | 3 |
| 9 | 12 | 25 | 1 |
| 9 | 12 | 26 | 1 |
| 9 | 12 | 27 | 3 |
| 9 | 12 | 28 | 1 |
| 9 | 12 | 29 | 1 |
| 9 | 12 | 30 | 3 |
| 9 | 12 | 31 | 1 |
| 9 | 12 | 32 | 1 |