What is the Greatest Common Factor of 275 and 295?
Greatest common factor (GCF) of 275 and 295 is 5.
GCF(275,295) = 5
We will now calculate the prime factors of 275 and 295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 275 and 295.
How to find the GCF of 275 and 295?
We will first find the prime factorization of 275 and 295. After we will calculate the factors of 275 and 295 and find the biggest common factor number .
Step-1: Prime Factorization of 275
Prime factors of 275 are 5, 11. Prime factorization of 275 in exponential form is:
275 = 52 × 111
Step-2: Prime Factorization of 295
Prime factors of 295 are 5, 59. Prime factorization of 295 in exponential form is:
295 = 51 × 591
Step-3: Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55
Step-4: Factors of 295
List of positive integer factors of 295 that divides 275 without a remainder.
1, 5, 59
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 275 and 295. The biggest common factor number is the GCF number.
So the greatest common factor 275 and 295 is 5.
Also check out the Least Common Multiple of 275 and 295
Related Greatest Common Factors of 275
- GCF of 275 and 279
- GCF of 275 and 280
- GCF of 275 and 281
- GCF of 275 and 282
- GCF of 275 and 283
- GCF of 275 and 284
- GCF of 275 and 285
- GCF of 275 and 286
- GCF of 275 and 287
- GCF of 275 and 288
- GCF of 275 and 289
- GCF of 275 and 290
- GCF of 275 and 291
- GCF of 275 and 292
- GCF of 275 and 293
- GCF of 275 and 294
- GCF of 275 and 295
Related Greatest Common Factors of 295
- GCF of 295 and 299
- GCF of 295 and 300
- GCF of 295 and 301
- GCF of 295 and 302
- GCF of 295 and 303
- GCF of 295 and 304
- GCF of 295 and 305
- GCF of 295 and 306
- GCF of 295 and 307
- GCF of 295 and 308
- GCF of 295 and 309
- GCF of 295 and 310
- GCF of 295 and 311
- GCF of 295 and 312
- GCF of 295 and 313
- GCF of 295 and 314
- GCF of 295 and 315