GCF (HCF) of 75 and 200
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What is the Greatest Common Divisor of 75 and 200?
Answer
GCF (HCF) of 75 and 200 is
25
Common factors: 1, 5, 25
25 divides both: 75 ÷ 25 = 3, 200 ÷ 25 = 8 — and 3 and 8 share no factor but 1, so no larger number divides both.
75 = 3 × 52
200 = 23 × 52
| Prime | 75 | 200 | Lowest power |
|---|---|---|---|
| 2 | — | 23 | — |
| 3 | 3 | — | — |
| 5 | 52 | 52 | 52 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 52 = 25
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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 | 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 |
| 75 | 195 | 15 |
| 75 | 196 | 1 |
| 75 | 197 | 1 |
| 75 | 198 | 3 |
| 75 | 199 | 1 |
| 75 | 200 | 25 |
| 75 | 201 | 3 |
| 75 | 202 | 1 |
| 75 | 203 | 1 |
| 75 | 204 | 3 |
| 75 | 205 | 5 |
| 75 | 206 | 1 |
| 75 | 207 | 3 |
| 75 | 208 | 1 |
| 75 | 209 | 1 |
| 75 | 210 | 15 |
| 75 | 211 | 1 |
| 75 | 212 | 1 |
| 75 | 213 | 3 |
| 75 | 214 | 1 |