What is the Greatest Common Factor of 225 and 231?
Greatest common factor (GCF) of 225 and 231 is 3.
GCF(225,231) = 3
We will now calculate the prime factors of 225 and 231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 225 and 231.
How to find the GCF of 225 and 231?
We will first find the prime factorization of 225 and 231. After we will calculate the factors of 225 and 231 and find the biggest common factor number .
Step-1: Prime Factorization of 225
Prime factors of 225 are 3, 5. Prime factorization of 225 in exponential form is:
225 = 32 × 52
Step-2: Prime Factorization of 231
Prime factors of 231 are 3, 7, 11. Prime factorization of 231 in exponential form is:
231 = 31 × 71 × 111
Step-3: Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75
Step-4: Factors of 231
List of positive integer factors of 231 that divides 225 without a remainder.
1, 3, 7, 11, 21, 33, 77
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 225 and 231. The biggest common factor number is the GCF number.
So the greatest common factor 225 and 231 is 3.
Also check out the Least Common Multiple of 225 and 231
Related Greatest Common Factors of 225
- GCF of 225 and 229
- GCF of 225 and 230
- GCF of 225 and 231
- GCF of 225 and 232
- GCF of 225 and 233
- GCF of 225 and 234
- GCF of 225 and 235
- GCF of 225 and 236
- GCF of 225 and 237
- GCF of 225 and 238
- GCF of 225 and 239
- GCF of 225 and 240
- GCF of 225 and 241
- GCF of 225 and 242
- GCF of 225 and 243
- GCF of 225 and 244
- GCF of 225 and 245
Related Greatest Common Factors of 231
- GCF of 231 and 235
- GCF of 231 and 236
- GCF of 231 and 237
- GCF of 231 and 238
- GCF of 231 and 239
- GCF of 231 and 240
- GCF of 231 and 241
- GCF of 231 and 242
- GCF of 231 and 243
- GCF of 231 and 244
- GCF of 231 and 245
- GCF of 231 and 246
- GCF of 231 and 247
- GCF of 231 and 248
- GCF of 231 and 249
- GCF of 231 and 250
- GCF of 231 and 251