GCF for 45, 60 and 75
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 45, 60 and 75?
Answer
GCF of 45, 60 and 75 is
15
Common factors: 1, 3, 5, 15
15 divides all three: 45 ÷ 15 = 3, 60 ÷ 15 = 4, 75 ÷ 15 = 5 — and 3, 4 and 5 have no factor but 1 common to all of them, so no larger number divides all three.
45 = 32 × 5
60 = 22 × 3 × 5
75 = 3 × 52
| Prime | 45 | 60 | 75 | Lowest power |
|---|---|---|---|---|
| 2 | — | 22 | — | — |
| 3 | 32 | 3 | 3 | 3 |
| 5 | 5 | 5 | 52 | 5 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 3 × 5 = 15
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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 |
|---|---|---|---|
| 45 | 60 | 60 | 15 |
| 45 | 60 | 61 | 1 |
| 45 | 60 | 62 | 1 |
| 45 | 60 | 63 | 3 |
| 45 | 60 | 64 | 1 |
| 45 | 60 | 65 | 5 |
| 45 | 60 | 66 | 3 |
| 45 | 60 | 67 | 1 |
| 45 | 60 | 68 | 1 |
| 45 | 60 | 69 | 3 |
| 45 | 60 | 70 | 5 |
| 45 | 60 | 71 | 1 |
| 45 | 60 | 72 | 3 |
| 45 | 60 | 73 | 1 |
| 45 | 60 | 74 | 1 |
| 45 | 60 | 75 | 15 |
| 45 | 60 | 76 | 1 |
| 45 | 60 | 77 | 1 |
| 45 | 60 | 78 | 3 |
| 45 | 60 | 79 | 1 |
| 45 | 60 | 80 | 5 |
| 45 | 60 | 81 | 3 |
| 45 | 60 | 82 | 1 |
| 45 | 60 | 83 | 1 |
| 45 | 60 | 84 | 3 |
| 45 | 60 | 85 | 5 |
| 45 | 60 | 86 | 1 |
| 45 | 60 | 87 | 3 |
| 45 | 60 | 88 | 1 |
| 45 | 60 | 89 | 1 |