GCF (HCF) of 85 and 120
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What is the Greatest Common Divisor of 85 and 120?
Answer
GCF (HCF) of 85 and 120 is
5
Common factors: 1, 5
5 divides both: 85 ÷ 5 = 17, 120 ÷ 5 = 24 — and 17 and 24 share no factor but 1, so no larger number divides both.
85 = 5 × 17
120 = 23 × 3 × 5
| Prime | 85 | 120 | Lowest power |
|---|---|---|---|
| 2 | — | 23 | — |
| 3 | — | 3 | — |
| 5 | 5 | 5 | 5 |
| 17 | 17 | — | — |
— = 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 - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 85 | 105 | 5 |
| 85 | 106 | 1 |
| 85 | 107 | 1 |
| 85 | 108 | 1 |
| 85 | 109 | 1 |
| 85 | 110 | 5 |
| 85 | 111 | 1 |
| 85 | 112 | 1 |
| 85 | 113 | 1 |
| 85 | 114 | 1 |
| 85 | 115 | 5 |
| 85 | 116 | 1 |
| 85 | 117 | 1 |
| 85 | 118 | 1 |
| 85 | 119 | 17 |
| 85 | 120 | 5 |
| 85 | 121 | 1 |
| 85 | 122 | 1 |
| 85 | 123 | 1 |
| 85 | 124 | 1 |
| 85 | 125 | 5 |
| 85 | 126 | 1 |
| 85 | 127 | 1 |
| 85 | 128 | 1 |
| 85 | 129 | 1 |
| 85 | 130 | 5 |
| 85 | 131 | 1 |
| 85 | 132 | 1 |
| 85 | 133 | 1 |
| 85 | 134 | 1 |