GCF for 30, 60 and 90
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 30, 60 and 90?
Answer
GCF of 30, 60 and 90 is
30
Common factors: 1, 2, 3, 5, 6, 10, 15, 30
30 divides all three: 30 ÷ 30 = 1, 60 ÷ 30 = 2, 90 ÷ 30 = 3 — and 1, 2 and 3 have no factor but 1 common to all of them, so no larger number divides all three.
30 = 2 × 3 × 5
60 = 22 × 3 × 5
90 = 2 × 32 × 5
| Prime | 30 | 60 | 90 | Lowest power |
|---|---|---|---|---|
| 2 | 2 | 22 | 2 | 2 |
| 3 | 3 | 3 | 32 | 3 |
| 5 | 5 | 5 | 5 | 5 |
GCF = 2 × 3 × 5 = 30
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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 |
|---|---|---|---|
| 30 | 60 | 75 | 15 |
| 30 | 60 | 76 | 2 |
| 30 | 60 | 77 | 1 |
| 30 | 60 | 78 | 6 |
| 30 | 60 | 79 | 1 |
| 30 | 60 | 80 | 10 |
| 30 | 60 | 81 | 3 |
| 30 | 60 | 82 | 2 |
| 30 | 60 | 83 | 1 |
| 30 | 60 | 84 | 6 |
| 30 | 60 | 85 | 5 |
| 30 | 60 | 86 | 2 |
| 30 | 60 | 87 | 3 |
| 30 | 60 | 88 | 2 |
| 30 | 60 | 89 | 1 |
| 30 | 60 | 90 | 30 |
| 30 | 60 | 91 | 1 |
| 30 | 60 | 92 | 2 |
| 30 | 60 | 93 | 3 |
| 30 | 60 | 94 | 2 |
| 30 | 60 | 95 | 5 |
| 30 | 60 | 96 | 6 |
| 30 | 60 | 97 | 1 |
| 30 | 60 | 98 | 2 |
| 30 | 60 | 99 | 3 |
| 30 | 60 | 100 | 10 |
| 30 | 60 | 101 | 1 |
| 30 | 60 | 102 | 6 |
| 30 | 60 | 103 | 1 |
| 30 | 60 | 104 | 2 |