GCF (HCF) of 75 and 180
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What is the Greatest Common Divisor of 75 and 180?
Answer
GCF (HCF) of 75 and 180 is
15
Common factors: 1, 3, 5, 15
15 divides both: 75 ÷ 15 = 5, 180 ÷ 15 = 12 — and 5 and 12 share no factor but 1, so no larger number divides both.
75 = 3 × 52
180 = 22 × 32 × 5
| Prime | 75 | 180 | Lowest power |
|---|---|---|---|
| 2 | — | 22 | — |
| 3 | 3 | 32 | 3 |
| 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 - 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 |
|---|---|---|
| 75 | 165 | 15 |
| 75 | 166 | 1 |
| 75 | 167 | 1 |
| 75 | 168 | 3 |
| 75 | 169 | 1 |
| 75 | 170 | 5 |
| 75 | 171 | 3 |
| 75 | 172 | 1 |
| 75 | 173 | 1 |
| 75 | 174 | 3 |
| 75 | 175 | 25 |
| 75 | 176 | 1 |
| 75 | 177 | 3 |
| 75 | 178 | 1 |
| 75 | 179 | 1 |
| 75 | 180 | 15 |
| 75 | 181 | 1 |
| 75 | 182 | 1 |
| 75 | 183 | 3 |
| 75 | 184 | 1 |
| 75 | 185 | 5 |
| 75 | 186 | 3 |
| 75 | 187 | 1 |
| 75 | 188 | 1 |
| 75 | 189 | 3 |
| 75 | 190 | 5 |
| 75 | 191 | 1 |
| 75 | 192 | 3 |
| 75 | 193 | 1 |
| 75 | 194 | 1 |