GCF of 75 and 300 (Greatest Common Factor)
"Greatest Common Factor" Calculator
What is the Greatest Common Divisor of 75 and 300?
Answer
GCF of 75 and 300 is
75
(Seventy-five)
Finding GCF for 75 and 300 using all factors (divisors) listing
The first method to find GCF for numbers 75 and 300 is to list all factors for both numbers and pick the highest common one:
All factors of 75: 1, 3, 5, 15, 25, 75
All factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
So the Greatest Common Factor for 75 and 300 is 75
Finding GCF for 75 and 300 by Prime Factorization
The second method to find GCF for numbers 75 and 300 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 75: 3, 5, 5
All Prime Factors of 300: 2, 2, 3, 5, 5
As we can see there are Prime Factors common to both numbers: 3, 5, 5
Now we need to multiply them to find GCF: 3 × 5 × 5 = 75
Found an error in the calculation or the information?
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See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 75 | 285 | 15 |
| 75 | 286 | 1 |
| 75 | 287 | 1 |
| 75 | 288 | 3 |
| 75 | 289 | 1 |
| 75 | 290 | 5 |
| 75 | 291 | 3 |
| 75 | 292 | 1 |
| 75 | 293 | 1 |
| 75 | 294 | 3 |
| 75 | 295 | 5 |
| 75 | 296 | 1 |
| 75 | 297 | 3 |
| 75 | 298 | 1 |
| 75 | 299 | 1 |
| 75 | 300 | 75 |
| 75 | 301 | 1 |
| 75 | 302 | 1 |
| 75 | 303 | 3 |
| 75 | 304 | 1 |
| 75 | 305 | 5 |
| 75 | 306 | 3 |
| 75 | 307 | 1 |
| 75 | 308 | 1 |
| 75 | 309 | 3 |
| 75 | 310 | 5 |
| 75 | 311 | 1 |
| 75 | 312 | 3 |
| 75 | 313 | 1 |
| 75 | 314 | 1 |
About "Greatest Common Factor" Calculator
This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 75 and 300? (The answer is: 75). Select the first number (e.g. '75') and the second number (e.g. '300'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
"Greatest Common Factor" Calculator