What is the Greatest Common Factor of 258 and 266?
Greatest common factor (GCF) of 258 and 266 is 2.
GCF(258,266) = 2
We will now calculate the prime factors of 258 and 266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 258 and 266.
How to find the GCF of 258 and 266?
We will first find the prime factorization of 258 and 266. After we will calculate the factors of 258 and 266 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 266
Prime factors of 266 are 2, 7, 19. Prime factorization of 266 in exponential form is:
266 = 21 × 71 × 191
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 266
List of positive integer factors of 266 that divides 258 without a remainder.
1, 2, 7, 14, 19, 38, 133
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 258 and 266. The biggest common factor number is the GCF number.
So the greatest common factor 258 and 266 is 2.
Also check out the Least Common Multiple of 258 and 266
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 266
- GCF of 266 and 270
- GCF of 266 and 271
- GCF of 266 and 272
- GCF of 266 and 273
- GCF of 266 and 274
- GCF of 266 and 275
- GCF of 266 and 276
- GCF of 266 and 277
- GCF of 266 and 278
- GCF of 266 and 279
- GCF of 266 and 280
- GCF of 266 and 281
- GCF of 266 and 282
- GCF of 266 and 283
- GCF of 266 and 284
- GCF of 266 and 285
- GCF of 266 and 286