What is the Greatest Common Factor of 262 and 266?
Greatest common factor (GCF) of 262 and 266 is 2.
GCF(262,266) = 2
We will now calculate the prime factors of 262 and 266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 262 and 266.
How to find the GCF of 262 and 266?
We will first find the prime factorization of 262 and 266. After we will calculate the factors of 262 and 266 and find the biggest common factor number .
Step-1: Prime Factorization of 262
Prime factors of 262 are 2, 131. Prime factorization of 262 in exponential form is:
262 = 21 × 1311
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 262
List of positive integer factors of 262 that divides 262 without a remainder.
1, 2, 131
Step-4: Factors of 266
List of positive integer factors of 266 that divides 262 without a remainder.
1, 2, 7, 14, 19, 38, 133
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 262 and 266. The biggest common factor number is the GCF number.
So the greatest common factor 262 and 266 is 2.
Also check out the Least Common Multiple of 262 and 266
Related Greatest Common Factors of 262
- GCF of 262 and 266
- GCF of 262 and 267
- GCF of 262 and 268
- GCF of 262 and 269
- GCF of 262 and 270
- GCF of 262 and 271
- GCF of 262 and 272
- GCF of 262 and 273
- GCF of 262 and 274
- GCF of 262 and 275
- GCF of 262 and 276
- GCF of 262 and 277
- GCF of 262 and 278
- GCF of 262 and 279
- GCF of 262 and 280
- GCF of 262 and 281
- GCF of 262 and 282
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