GCF for 18, 45 and 63
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 18, 45 and 63?
Answer
GCF of 18, 45 and 63 is
9
Common factors: 1, 3, 9
9 divides all three: 18 ÷ 9 = 2, 45 ÷ 9 = 5, 63 ÷ 9 = 7 — and 2, 5 and 7 have no factor but 1 common to all of them, so no larger number divides all three.
18 = 2 × 32
45 = 32 × 5
63 = 32 × 7
| Prime | 18 | 45 | 63 | Lowest power |
|---|---|---|---|---|
| 2 | 2 | — | — | — |
| 3 | 32 | 32 | 32 | 32 |
| 5 | — | 5 | — | — |
| 7 | — | — | 7 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 32 = 9
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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 | 45 | 48 | 3 |
| 18 | 45 | 49 | 1 |
| 18 | 45 | 50 | 1 |
| 18 | 45 | 51 | 3 |
| 18 | 45 | 52 | 1 |
| 18 | 45 | 53 | 1 |
| 18 | 45 | 54 | 9 |
| 18 | 45 | 55 | 1 |
| 18 | 45 | 56 | 1 |
| 18 | 45 | 57 | 3 |
| 18 | 45 | 58 | 1 |
| 18 | 45 | 59 | 1 |
| 18 | 45 | 60 | 3 |
| 18 | 45 | 61 | 1 |
| 18 | 45 | 62 | 1 |
| 18 | 45 | 63 | 9 |
| 18 | 45 | 64 | 1 |
| 18 | 45 | 65 | 1 |
| 18 | 45 | 66 | 3 |
| 18 | 45 | 67 | 1 |
| 18 | 45 | 68 | 1 |
| 18 | 45 | 69 | 3 |
| 18 | 45 | 70 | 1 |
| 18 | 45 | 71 | 1 |
| 18 | 45 | 72 | 9 |
| 18 | 45 | 73 | 1 |
| 18 | 45 | 74 | 1 |
| 18 | 45 | 75 | 3 |
| 18 | 45 | 76 | 1 |
| 18 | 45 | 77 | 1 |