What is the Greatest Common Factor of 258 and 277?
Greatest common factor (GCF) of 258 and 277 is 1.
GCF(258,277) = 1
We will now calculate the prime factors of 258 and 277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 258 and 277.
How to find the GCF of 258 and 277?
We will first find the prime factorization of 258 and 277. After we will calculate the factors of 258 and 277 and find the biggest common factor number .
Step-1: Prime Factorization of 258
Prime factors of 258 are 2, 3, 43. Prime factorization of 258 in exponential form is:
258 = 21 × 31 × 431
Step-2: Prime Factorization of 277
Prime factors of 277 are 277. Prime factorization of 277 in exponential form is:
277 = 2771
Step-3: Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129
Step-4: Factors of 277
List of positive integer factors of 277 that divides 258 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 258 and 277. The biggest common factor number is the GCF number.
So the greatest common factor 258 and 277 is 1.
Also check out the Least Common Multiple of 258 and 277
Related Greatest Common Factors of 258
- GCF of 258 and 262
- GCF of 258 and 263
- GCF of 258 and 264
- GCF of 258 and 265
- GCF of 258 and 266
- GCF of 258 and 267
- GCF of 258 and 268
- GCF of 258 and 269
- GCF of 258 and 270
- GCF of 258 and 271
- GCF of 258 and 272
- GCF of 258 and 273
- GCF of 258 and 274
- GCF of 258 and 275
- GCF of 258 and 276
- GCF of 258 and 277
- GCF of 258 and 278
Related Greatest Common Factors of 277
- GCF of 277 and 281
- GCF of 277 and 282
- GCF of 277 and 283
- GCF of 277 and 284
- GCF of 277 and 285
- GCF of 277 and 286
- GCF of 277 and 287
- GCF of 277 and 288
- GCF of 277 and 289
- GCF of 277 and 290
- GCF of 277 and 291
- GCF of 277 and 292
- GCF of 277 and 293
- GCF of 277 and 294
- GCF of 277 and 295
- GCF of 277 and 296
- GCF of 277 and 297