GCF for 18, 30 and 42
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 18, 30 and 42?
Answer
GCF of 18, 30 and 42 is
6
Common factors: 1, 2, 3, 6
6 divides all three: 18 ÷ 6 = 3, 30 ÷ 6 = 5, 42 ÷ 6 = 7 — and 3, 5 and 7 have no factor but 1 common to all of them, so no larger number divides all three.
18 = 2 × 32
30 = 2 × 3 × 5
42 = 2 × 3 × 7
| Prime | 18 | 30 | 42 | Lowest power |
|---|---|---|---|---|
| 2 | 2 | 2 | 2 | 2 |
| 3 | 32 | 3 | 3 | 3 |
| 5 | — | 5 | — | — |
| 7 | — | — | 7 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2 × 3 = 6
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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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