GCF (HCF) of 231 and 273
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What is the Greatest Common Divisor of 231 and 273?
Answer
GCF (HCF) of 231 and 273 is
21
Common factors: 1, 3, 7, 21
21 divides both: 231 ÷ 21 = 11, 273 ÷ 21 = 13 — and 11 and 13 share no factor but 1, so no larger number divides both.
231 = 3 × 7 × 11
273 = 3 × 7 × 13
| Prime | 231 | 273 | Lowest power |
|---|---|---|---|
| 3 | 3 | 3 | 3 |
| 7 | 7 | 7 | 7 |
| 11 | 11 | — | — |
| 13 | — | 13 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 3 × 7 = 21
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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 |
|---|---|---|
| 231 | 258 | 3 |
| 231 | 259 | 7 |
| 231 | 260 | 1 |
| 231 | 261 | 3 |
| 231 | 262 | 1 |
| 231 | 263 | 1 |
| 231 | 264 | 33 |
| 231 | 265 | 1 |
| 231 | 266 | 7 |
| 231 | 267 | 3 |
| 231 | 268 | 1 |
| 231 | 269 | 1 |
| 231 | 270 | 3 |
| 231 | 271 | 1 |
| 231 | 272 | 1 |
| 231 | 273 | 21 |
| 231 | 274 | 1 |
| 231 | 275 | 11 |
| 231 | 276 | 3 |
| 231 | 277 | 1 |
| 231 | 278 | 1 |
| 231 | 279 | 3 |
| 231 | 280 | 7 |
| 231 | 281 | 1 |
| 231 | 282 | 3 |
| 231 | 283 | 1 |
| 231 | 284 | 1 |
| 231 | 285 | 3 |
| 231 | 286 | 11 |
| 231 | 287 | 7 |