GCF for 45, 81 and 99
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 45, 81 and 99?
Answer
GCF of 45, 81 and 99 is
9
Common factors: 1, 3, 9
9 divides all three: 45 ÷ 9 = 5, 81 ÷ 9 = 9, 99 ÷ 9 = 11 — and 5, 9 and 11 have no factor but 1 common to all of them, so no larger number divides all three.
45 = 32 × 5
81 = 34
99 = 32 × 11
| Prime | 45 | 81 | 99 | Lowest power |
|---|---|---|---|---|
| 3 | 32 | 34 | 32 | 32 |
| 5 | 5 | — | — | — |
| 11 | — | — | 11 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 32 = 9
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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 | 81 | 84 | 3 |
| 45 | 81 | 85 | 1 |
| 45 | 81 | 86 | 1 |
| 45 | 81 | 87 | 3 |
| 45 | 81 | 88 | 1 |
| 45 | 81 | 89 | 1 |
| 45 | 81 | 90 | 9 |
| 45 | 81 | 91 | 1 |
| 45 | 81 | 92 | 1 |
| 45 | 81 | 93 | 3 |
| 45 | 81 | 94 | 1 |
| 45 | 81 | 95 | 1 |
| 45 | 81 | 96 | 3 |
| 45 | 81 | 97 | 1 |
| 45 | 81 | 98 | 1 |
| 45 | 81 | 99 | 9 |
| 45 | 81 | 100 | 1 |
| 45 | 81 | 101 | 1 |
| 45 | 81 | 102 | 3 |
| 45 | 81 | 103 | 1 |
| 45 | 81 | 104 | 1 |
| 45 | 81 | 105 | 3 |
| 45 | 81 | 106 | 1 |
| 45 | 81 | 107 | 1 |
| 45 | 81 | 108 | 9 |
| 45 | 81 | 109 | 1 |
| 45 | 81 | 110 | 1 |
| 45 | 81 | 111 | 3 |
| 45 | 81 | 112 | 1 |
| 45 | 81 | 113 | 1 |