What is the Greatest Common Factor of 224 and 231?
Greatest common factor (GCF) of 224 and 231 is 7.
GCF(224,231) = 7
We will now calculate the prime factors of 224 and 231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 224 and 231.
How to find the GCF of 224 and 231?
We will first find the prime factorization of 224 and 231. After we will calculate the factors of 224 and 231 and find the biggest common factor number .
Step-1: Prime Factorization of 224
Prime factors of 224 are 2, 7. Prime factorization of 224 in exponential form is:
224 = 25 × 71
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 224
List of positive integer factors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112
Step-4: Factors of 231
List of positive integer factors of 231 that divides 224 without a remainder.
1, 3, 7, 11, 21, 33, 77
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 224 and 231. The biggest common factor number is the GCF number.
So the greatest common factor 224 and 231 is 7.
Also check out the Least Common Multiple of 224 and 231
Related Greatest Common Factors of 224
- GCF of 224 and 228
- GCF of 224 and 229
- GCF of 224 and 230
- GCF of 224 and 231
- GCF of 224 and 232
- GCF of 224 and 233
- GCF of 224 and 234
- GCF of 224 and 235
- GCF of 224 and 236
- GCF of 224 and 237
- GCF of 224 and 238
- GCF of 224 and 239
- GCF of 224 and 240
- GCF of 224 and 241
- GCF of 224 and 242
- GCF of 224 and 243
- GCF of 224 and 244
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