What is the Greatest Common Factor of 279 and 291?
Greatest common factor (GCF) of 279 and 291 is 3.
GCF(279,291) = 3
We will now calculate the prime factors of 279 and 291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 279 and 291.
How to find the GCF of 279 and 291?
We will first find the prime factorization of 279 and 291. After we will calculate the factors of 279 and 291 and find the biggest common factor number .
Step-1: Prime Factorization of 279
Prime factors of 279 are 3, 31. Prime factorization of 279 in exponential form is:
279 = 32 × 311
Step-2: Prime Factorization of 291
Prime factors of 291 are 3, 97. Prime factorization of 291 in exponential form is:
291 = 31 × 971
Step-3: Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93
Step-4: Factors of 291
List of positive integer factors of 291 that divides 279 without a remainder.
1, 3, 97
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 279 and 291. The biggest common factor number is the GCF number.
So the greatest common factor 279 and 291 is 3.
Also check out the Least Common Multiple of 279 and 291
Related Greatest Common Factors of 279
- GCF of 279 and 283
- GCF of 279 and 284
- GCF of 279 and 285
- GCF of 279 and 286
- GCF of 279 and 287
- GCF of 279 and 288
- GCF of 279 and 289
- GCF of 279 and 290
- GCF of 279 and 291
- GCF of 279 and 292
- GCF of 279 and 293
- GCF of 279 and 294
- GCF of 279 and 295
- GCF of 279 and 296
- GCF of 279 and 297
- GCF of 279 and 298
- GCF of 279 and 299
Related Greatest Common Factors of 291
- GCF of 291 and 295
- GCF of 291 and 296
- GCF of 291 and 297
- GCF of 291 and 298
- GCF of 291 and 299
- GCF of 291 and 300
- GCF of 291 and 301
- GCF of 291 and 302
- GCF of 291 and 303
- GCF of 291 and 304
- GCF of 291 and 305
- GCF of 291 and 306
- GCF of 291 and 307
- GCF of 291 and 308
- GCF of 291 and 309
- GCF of 291 and 310
- GCF of 291 and 311