What is the Greatest Common Factor of 224 and 234?
Greatest common factor (GCF) of 224 and 234 is 2.
GCF(224,234) = 2
We will now calculate the prime factors of 224 and 234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 224 and 234.
How to find the GCF of 224 and 234?
We will first find the prime factorization of 224 and 234. After we will calculate the factors of 224 and 234 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 234
Prime factors of 234 are 2, 3, 13. Prime factorization of 234 in exponential form is:
234 = 21 × 32 × 131
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 234
List of positive integer factors of 234 that divides 224 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 224 and 234. The biggest common factor number is the GCF number.
So the greatest common factor 224 and 234 is 2.
Also check out the Least Common Multiple of 224 and 234
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 234
- GCF of 234 and 238
- GCF of 234 and 239
- GCF of 234 and 240
- GCF of 234 and 241
- GCF of 234 and 242
- GCF of 234 and 243
- GCF of 234 and 244
- GCF of 234 and 245
- GCF of 234 and 246
- GCF of 234 and 247
- GCF of 234 and 248
- GCF of 234 and 249
- GCF of 234 and 250
- GCF of 234 and 251
- GCF of 234 and 252
- GCF of 234 and 253
- GCF of 234 and 254