GCF for 10, 30 and 45
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 10, 30 and 45?
Answer
GCF of 10, 30 and 45 is
5
Common factors: 1, 5
5 divides all three: 10 ÷ 5 = 2, 30 ÷ 5 = 6, 45 ÷ 5 = 9 — and 2, 6 and 9 have no factor but 1 common to all of them, so no larger number divides all three.
10 = 2 × 5
30 = 2 × 3 × 5
45 = 32 × 5
| Prime | 10 | 30 | 45 | Lowest power |
|---|---|---|---|---|
| 2 | 2 | 2 | — | — |
| 3 | — | 3 | 32 | — |
| 5 | 5 | 5 | 5 | 5 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 5
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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 | 30 | 30 | 10 |
| 10 | 30 | 31 | 1 |
| 10 | 30 | 32 | 2 |
| 10 | 30 | 33 | 1 |
| 10 | 30 | 34 | 2 |
| 10 | 30 | 35 | 5 |
| 10 | 30 | 36 | 2 |
| 10 | 30 | 37 | 1 |
| 10 | 30 | 38 | 2 |
| 10 | 30 | 39 | 1 |
| 10 | 30 | 40 | 10 |
| 10 | 30 | 41 | 1 |
| 10 | 30 | 42 | 2 |
| 10 | 30 | 43 | 1 |
| 10 | 30 | 44 | 2 |
| 10 | 30 | 45 | 5 |
| 10 | 30 | 46 | 2 |
| 10 | 30 | 47 | 1 |
| 10 | 30 | 48 | 2 |
| 10 | 30 | 49 | 1 |
| 10 | 30 | 50 | 10 |
| 10 | 30 | 51 | 1 |
| 10 | 30 | 52 | 2 |
| 10 | 30 | 53 | 1 |
| 10 | 30 | 54 | 2 |
| 10 | 30 | 55 | 5 |
| 10 | 30 | 56 | 2 |
| 10 | 30 | 57 | 1 |
| 10 | 30 | 58 | 2 |
| 10 | 30 | 59 | 1 |