GCF for 18, 39 and 45
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 18, 39 and 45?
Answer
GCF of 18, 39 and 45 is
3
Common factors: 1, 3
3 divides all three: 18 ÷ 3 = 6, 39 ÷ 3 = 13, 45 ÷ 3 = 15 — and 6, 13 and 15 have no factor but 1 common to all of them, so no larger number divides all three.
18 = 2 × 32
39 = 3 × 13
45 = 32 × 5
| Prime | 18 | 39 | 45 | Lowest power |
|---|---|---|---|---|
| 2 | 2 | — | — | — |
| 3 | 32 | 3 | 32 | 3 |
| 5 | — | — | 5 | — |
| 13 | — | 13 | — | — |
— = 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 |
|---|---|---|---|
| 18 | 30 | 39 | 3 |
| 18 | 31 | 39 | 1 |
| 18 | 32 | 39 | 1 |
| 18 | 33 | 39 | 3 |
| 18 | 34 | 39 | 1 |
| 18 | 35 | 39 | 1 |
| 18 | 36 | 39 | 3 |
| 18 | 37 | 39 | 1 |
| 18 | 38 | 39 | 1 |
| 18 | 39 | 39 | 3 |
| 18 | 39 | 40 | 1 |
| 18 | 39 | 41 | 1 |
| 18 | 39 | 42 | 3 |
| 18 | 39 | 43 | 1 |
| 18 | 39 | 44 | 1 |
| 18 | 39 | 45 | 3 |
| 18 | 39 | 46 | 1 |
| 18 | 39 | 47 | 1 |
| 18 | 39 | 48 | 3 |
| 18 | 39 | 49 | 1 |
| 18 | 39 | 50 | 1 |
| 18 | 39 | 51 | 3 |
| 18 | 39 | 52 | 1 |
| 18 | 39 | 53 | 1 |
| 18 | 39 | 54 | 3 |
| 18 | 39 | 55 | 1 |
| 18 | 39 | 56 | 1 |
| 18 | 39 | 57 | 3 |
| 18 | 39 | 58 | 1 |
| 18 | 39 | 59 | 1 |