GCF for 45, 75 and 90
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 45, 75 and 90?
Answer
GCF of 45, 75 and 90 is
15
Common factors: 1, 3, 5, 15
15 divides all three: 45 ÷ 15 = 3, 75 ÷ 15 = 5, 90 ÷ 15 = 6 — and 3, 5 and 6 have no factor but 1 common to all of them, so no larger number divides all three.
45 = 32 × 5
75 = 3 × 52
90 = 2 × 32 × 5
| Prime | 45 | 75 | 90 | Lowest power |
|---|---|---|---|---|
| 2 | — | — | 2 | — |
| 3 | 32 | 3 | 32 | 3 |
| 5 | 5 | 52 | 5 | 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 | 75 | 75 | 15 |
| 45 | 75 | 76 | 1 |
| 45 | 75 | 77 | 1 |
| 45 | 75 | 78 | 3 |
| 45 | 75 | 79 | 1 |
| 45 | 75 | 80 | 5 |
| 45 | 75 | 81 | 3 |
| 45 | 75 | 82 | 1 |
| 45 | 75 | 83 | 1 |
| 45 | 75 | 84 | 3 |
| 45 | 75 | 85 | 5 |
| 45 | 75 | 86 | 1 |
| 45 | 75 | 87 | 3 |
| 45 | 75 | 88 | 1 |
| 45 | 75 | 89 | 1 |
| 45 | 75 | 90 | 15 |
| 45 | 75 | 91 | 1 |
| 45 | 75 | 92 | 1 |
| 45 | 75 | 93 | 3 |
| 45 | 75 | 94 | 1 |
| 45 | 75 | 95 | 5 |
| 45 | 75 | 96 | 3 |
| 45 | 75 | 97 | 1 |
| 45 | 75 | 98 | 1 |
| 45 | 75 | 99 | 3 |
| 45 | 75 | 100 | 5 |
| 45 | 75 | 101 | 1 |
| 45 | 75 | 102 | 3 |
| 45 | 75 | 103 | 1 |
| 45 | 75 | 104 | 1 |