GCF (HCF) of 225 and 315
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What is the Greatest Common Divisor of 225 and 315?
Answer
GCF (HCF) of 225 and 315 is
45
Common factors: 1, 3, 5, 9, 15, 45
45 divides both: 225 ÷ 45 = 5, 315 ÷ 45 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.
225 = 32 × 52
315 = 32 × 5 × 7
| Prime | 225 | 315 | Lowest power |
|---|---|---|---|
| 3 | 32 | 32 | 32 |
| 5 | 52 | 5 | 5 |
| 7 | — | 7 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 32 × 5 = 45
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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 |
|---|---|---|
| 225 | 300 | 75 |
| 225 | 301 | 1 |
| 225 | 302 | 1 |
| 225 | 303 | 3 |
| 225 | 304 | 1 |
| 225 | 305 | 5 |
| 225 | 306 | 9 |
| 225 | 307 | 1 |
| 225 | 308 | 1 |
| 225 | 309 | 3 |
| 225 | 310 | 5 |
| 225 | 311 | 1 |
| 225 | 312 | 3 |
| 225 | 313 | 1 |
| 225 | 314 | 1 |
| 225 | 315 | 45 |
| 225 | 316 | 1 |
| 225 | 317 | 1 |
| 225 | 318 | 3 |
| 225 | 319 | 1 |
| 225 | 320 | 5 |
| 225 | 321 | 3 |
| 225 | 322 | 1 |
| 225 | 323 | 1 |
| 225 | 324 | 9 |
| 225 | 325 | 25 |
| 225 | 326 | 1 |
| 225 | 327 | 3 |
| 225 | 328 | 1 |
| 225 | 329 | 1 |