What is the Greatest Common Factor of 268 and 274?
Greatest common factor (GCF) of 268 and 274 is 2.
GCF(268,274) = 2
We will now calculate the prime factors of 268 and 274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 268 and 274.
How to find the GCF of 268 and 274?
We will first find the prime factorization of 268 and 274. After we will calculate the factors of 268 and 274 and find the biggest common factor number .
Step-1: Prime Factorization of 268
Prime factors of 268 are 2, 67. Prime factorization of 268 in exponential form is:
268 = 22 × 671
Step-2: Prime Factorization of 274
Prime factors of 274 are 2, 137. Prime factorization of 274 in exponential form is:
274 = 21 × 1371
Step-3: Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134
Step-4: Factors of 274
List of positive integer factors of 274 that divides 268 without a remainder.
1, 2, 137
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 268 and 274. The biggest common factor number is the GCF number.
So the greatest common factor 268 and 274 is 2.
Also check out the Least Common Multiple of 268 and 274
Related Greatest Common Factors of 268
- GCF of 268 and 272
- GCF of 268 and 273
- GCF of 268 and 274
- GCF of 268 and 275
- GCF of 268 and 276
- GCF of 268 and 277
- GCF of 268 and 278
- GCF of 268 and 279
- GCF of 268 and 280
- GCF of 268 and 281
- GCF of 268 and 282
- GCF of 268 and 283
- GCF of 268 and 284
- GCF of 268 and 285
- GCF of 268 and 286
- GCF of 268 and 287
- GCF of 268 and 288
Related Greatest Common Factors of 274
- GCF of 274 and 278
- GCF of 274 and 279
- GCF of 274 and 280
- GCF of 274 and 281
- GCF of 274 and 282
- GCF of 274 and 283
- GCF of 274 and 284
- GCF of 274 and 285
- GCF of 274 and 286
- GCF of 274 and 287
- GCF of 274 and 288
- GCF of 274 and 289
- GCF of 274 and 290
- GCF of 274 and 291
- GCF of 274 and 292
- GCF of 274 and 293
- GCF of 274 and 294