What is the Greatest Common Factor of 276 and 296?
Greatest common factor (GCF) of 276 and 296 is 4.
GCF(276,296) = 4
We will now calculate the prime factors of 276 and 296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 276 and 296.
How to find the GCF of 276 and 296?
We will first find the prime factorization of 276 and 296. After we will calculate the factors of 276 and 296 and find the biggest common factor number .
Step-1: Prime Factorization of 276
Prime factors of 276 are 2, 3, 23. Prime factorization of 276 in exponential form is:
276 = 22 × 31 × 231
Step-2: Prime Factorization of 296
Prime factors of 296 are 2, 37. Prime factorization of 296 in exponential form is:
296 = 23 × 371
Step-3: Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138
Step-4: Factors of 296
List of positive integer factors of 296 that divides 276 without a remainder.
1, 2, 4, 8, 37, 74, 148
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 276 and 296. The biggest common factor number is the GCF number.
So the greatest common factor 276 and 296 is 4.
Also check out the Least Common Multiple of 276 and 296
Related Greatest Common Factors of 276
- GCF of 276 and 280
- GCF of 276 and 281
- GCF of 276 and 282
- GCF of 276 and 283
- GCF of 276 and 284
- GCF of 276 and 285
- GCF of 276 and 286
- GCF of 276 and 287
- GCF of 276 and 288
- GCF of 276 and 289
- GCF of 276 and 290
- GCF of 276 and 291
- GCF of 276 and 292
- GCF of 276 and 293
- GCF of 276 and 294
- GCF of 276 and 295
- GCF of 276 and 296
Related Greatest Common Factors of 296
- GCF of 296 and 300
- GCF of 296 and 301
- GCF of 296 and 302
- GCF of 296 and 303
- GCF of 296 and 304
- GCF of 296 and 305
- GCF of 296 and 306
- GCF of 296 and 307
- GCF of 296 and 308
- GCF of 296 and 309
- GCF of 296 and 310
- GCF of 296 and 311
- GCF of 296 and 312
- GCF of 296 and 313
- GCF of 296 and 314
- GCF of 296 and 315
- GCF of 296 and 316