GCF for 15, 18 and 30
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 15, 18 and 30?
Answer
GCF of 15, 18 and 30 is
3
Common factors: 1, 3
3 divides all three: 15 ÷ 3 = 5, 18 ÷ 3 = 6, 30 ÷ 3 = 10 — and 5, 6 and 10 have no factor but 1 common to all of them, so no larger number divides all three.
15 = 3 × 5
18 = 2 × 32
30 = 2 × 3 × 5
| Prime | 15 | 18 | 30 | Lowest power |
|---|---|---|---|---|
| 2 | — | 2 | 2 | — |
| 3 | 3 | 32 | 3 | 3 |
| 5 | 5 | — | 5 | — |
— = 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 |
|---|---|---|---|
| 15 | 15 | 18 | 3 |
| 15 | 16 | 18 | 1 |
| 15 | 17 | 18 | 1 |
| 15 | 18 | 18 | 3 |
| 15 | 18 | 19 | 1 |
| 15 | 18 | 20 | 1 |
| 15 | 18 | 21 | 3 |
| 15 | 18 | 22 | 1 |
| 15 | 18 | 23 | 1 |
| 15 | 18 | 24 | 3 |
| 15 | 18 | 25 | 1 |
| 15 | 18 | 26 | 1 |
| 15 | 18 | 27 | 3 |
| 15 | 18 | 28 | 1 |
| 15 | 18 | 29 | 1 |
| 15 | 18 | 30 | 3 |
| 15 | 18 | 31 | 1 |
| 15 | 18 | 32 | 1 |
| 15 | 18 | 33 | 3 |
| 15 | 18 | 34 | 1 |
| 15 | 18 | 35 | 1 |
| 15 | 18 | 36 | 3 |
| 15 | 18 | 37 | 1 |
| 15 | 18 | 38 | 1 |
| 15 | 18 | 39 | 3 |
| 15 | 18 | 40 | 1 |
| 15 | 18 | 41 | 1 |
| 15 | 18 | 42 | 3 |
| 15 | 18 | 43 | 1 |
| 15 | 18 | 44 | 1 |