GCF for 8, 12 and 42
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 8, 12 and 42?
Answer
GCF of 8, 12 and 42 is
2
Common factors: 1, 2
2 divides all three: 8 ÷ 2 = 4, 12 ÷ 2 = 6, 42 ÷ 2 = 21 — and 4, 6 and 21 have no factor but 1 common to all of them, so no larger number divides all three.
8 = 23
12 = 22 × 3
42 = 2 × 3 × 7
| Prime | 8 | 12 | 42 | Lowest power |
|---|---|---|---|---|
| 2 | 23 | 22 | 2 | 2 |
| 3 | — | 3 | 3 | — |
| 7 | — | — | 7 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2
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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 |
|---|---|---|---|
| 8 | 12 | 27 | 1 |
| 8 | 12 | 28 | 4 |
| 8 | 12 | 29 | 1 |
| 8 | 12 | 30 | 2 |
| 8 | 12 | 31 | 1 |
| 8 | 12 | 32 | 4 |
| 8 | 12 | 33 | 1 |
| 8 | 12 | 34 | 2 |
| 8 | 12 | 35 | 1 |
| 8 | 12 | 36 | 4 |
| 8 | 12 | 37 | 1 |
| 8 | 12 | 38 | 2 |
| 8 | 12 | 39 | 1 |
| 8 | 12 | 40 | 4 |
| 8 | 12 | 41 | 1 |
| 8 | 12 | 42 | 2 |
| 8 | 12 | 43 | 1 |
| 8 | 12 | 44 | 4 |
| 8 | 12 | 45 | 1 |
| 8 | 12 | 46 | 2 |
| 8 | 12 | 47 | 1 |
| 8 | 12 | 48 | 4 |
| 8 | 12 | 49 | 1 |
| 8 | 12 | 50 | 2 |
| 8 | 12 | 51 | 1 |
| 8 | 12 | 52 | 4 |
| 8 | 12 | 53 | 1 |
| 8 | 12 | 54 | 2 |
| 8 | 12 | 55 | 1 |
| 8 | 12 | 56 | 4 |