GCF for 240 and 360
What is the Greatest common Divisor of 240 and 360?
(One hundred twenty)
Finding GCF for 240 and 360 using all factors (divisors) listing
The first method to find GCF for numbers 240 and 360 is to list all factors for both numbers and pick the highest common one:
All factors of 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
All factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
So the Greatest Common Factor for 240 and 360 is 120
Finding GCF for 240 and 360 by Prime Factorization
The second method to find GCF for numbers 240 and 360 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 240: 2, 2, 2, 2, 3, 5
All Prime Factors of 360: 2, 2, 2, 3, 3, 5
As we can see there are Prime Factors common to both numbers: 2, 2, 2, 3, 5
Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 × 5 = 120
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
<a href="https://calculat.io/en/number/greatest-common-factor-of/240--360">What is the GCF of 240 and 360 - Calculatio</a>
GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 225 | 360 | 45 |
| 226 | 360 | 2 |
| 227 | 360 | 1 |
| 228 | 360 | 12 |
| 229 | 360 | 1 |
| 230 | 360 | 10 |
| 231 | 360 | 3 |
| 232 | 360 | 8 |
| 233 | 360 | 1 |
| 234 | 360 | 18 |
| 235 | 360 | 5 |
| 236 | 360 | 4 |
| 237 | 360 | 3 |
| 238 | 360 | 2 |
| 239 | 360 | 1 |
| 240 | 360 | 120 |
| 241 | 360 | 1 |
| 242 | 360 | 2 |
| 243 | 360 | 9 |
| 244 | 360 | 4 |
| 245 | 360 | 5 |
| 246 | 360 | 6 |
| 247 | 360 | 1 |
| 248 | 360 | 8 |
| 249 | 360 | 3 |
| 250 | 360 | 10 |
| 251 | 360 | 1 |
| 252 | 360 | 36 |
| 253 | 360 | 1 |
| 254 | 360 | 2 |
About "Greatest Common Factor" Calculator
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