GCF for 12, 30 and 42
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 12, 30 and 42?
Answer
GCF of 12, 30 and 42 is
6
Common factors: 1, 2, 3, 6
6 divides all three: 12 ÷ 6 = 2, 30 ÷ 6 = 5, 42 ÷ 6 = 7 — and 2, 5 and 7 have no factor but 1 common to all of them, so no larger number divides all three.
12 = 22 × 3
30 = 2 × 3 × 5
42 = 2 × 3 × 7
| Prime | 12 | 30 | 42 | Lowest power |
|---|---|---|---|---|
| 2 | 22 | 2 | 2 | 2 |
| 3 | 3 | 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
More with these numbers
Found an error in the calculation or the information?
Related Calculations
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
Share This Calculation
Print
<a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--30--42">What is the GCF of 12, 30 and 42? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
GCF Table
| 1st | 2nd | 3rd | GCF |
|---|---|---|---|
| 12 | 27 | 30 | 3 |
| 12 | 28 | 30 | 2 |
| 12 | 29 | 30 | 1 |
| 12 | 30 | 30 | 6 |
| 12 | 30 | 31 | 1 |
| 12 | 30 | 32 | 2 |
| 12 | 30 | 33 | 3 |
| 12 | 30 | 34 | 2 |
| 12 | 30 | 35 | 1 |
| 12 | 30 | 36 | 6 |
| 12 | 30 | 37 | 1 |
| 12 | 30 | 38 | 2 |
| 12 | 30 | 39 | 3 |
| 12 | 30 | 40 | 2 |
| 12 | 30 | 41 | 1 |
| 12 | 30 | 42 | 6 |
| 12 | 30 | 43 | 1 |
| 12 | 30 | 44 | 2 |
| 12 | 30 | 45 | 3 |
| 12 | 30 | 46 | 2 |
| 12 | 30 | 47 | 1 |
| 12 | 30 | 48 | 6 |
| 12 | 30 | 49 | 1 |
| 12 | 30 | 50 | 2 |
| 12 | 30 | 51 | 3 |
| 12 | 30 | 52 | 2 |
| 12 | 30 | 53 | 1 |
| 12 | 30 | 54 | 6 |
| 12 | 30 | 55 | 1 |
| 12 | 30 | 56 | 2 |