GCF for 10, 20 and 30
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 10, 20 and 30?
Answer
GCF of 10, 20 and 30 is
10
Common factors: 1, 2, 5, 10
10 divides all three: 10 ÷ 10 = 1, 20 ÷ 10 = 2, 30 ÷ 10 = 3 — and 1, 2 and 3 have no factor but 1 common to all of them, so no larger number divides all three.
10 = 2 × 5
20 = 22 × 5
30 = 2 × 3 × 5
| Prime | 10 | 20 | 30 | Lowest power |
|---|---|---|---|---|
| 2 | 2 | 22 | 2 | 2 |
| 3 | — | — | 3 | — |
| 5 | 5 | 5 | 5 | 5 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2 × 5 = 10
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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 |
|---|---|---|---|
| 10 | 15 | 20 | 5 |
| 10 | 16 | 20 | 2 |
| 10 | 17 | 20 | 1 |
| 10 | 18 | 20 | 2 |
| 10 | 19 | 20 | 1 |
| 10 | 20 | 20 | 10 |
| 10 | 20 | 21 | 1 |
| 10 | 20 | 22 | 2 |
| 10 | 20 | 23 | 1 |
| 10 | 20 | 24 | 2 |
| 10 | 20 | 25 | 5 |
| 10 | 20 | 26 | 2 |
| 10 | 20 | 27 | 1 |
| 10 | 20 | 28 | 2 |
| 10 | 20 | 29 | 1 |
| 10 | 20 | 30 | 10 |
| 10 | 20 | 31 | 1 |
| 10 | 20 | 32 | 2 |
| 10 | 20 | 33 | 1 |
| 10 | 20 | 34 | 2 |
| 10 | 20 | 35 | 5 |
| 10 | 20 | 36 | 2 |
| 10 | 20 | 37 | 1 |
| 10 | 20 | 38 | 2 |
| 10 | 20 | 39 | 1 |
| 10 | 20 | 40 | 10 |
| 10 | 20 | 41 | 1 |
| 10 | 20 | 42 | 2 |
| 10 | 20 | 43 | 1 |
| 10 | 20 | 44 | 2 |