What is the Greatest Common Factor of 266 and 280?
Greatest common factor (GCF) of 266 and 280 is 14.
GCF(266,280) = 14
We will now calculate the prime factors of 266 and 280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 266 and 280.
How to find the GCF of 266 and 280?
We will first find the prime factorization of 266 and 280. After we will calculate the factors of 266 and 280 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 280
Prime factors of 280 are 2, 5, 7. Prime factorization of 280 in exponential form is:
280 = 23 × 51 × 71
Step-3: Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133
Step-4: Factors of 280
List of positive integer factors of 280 that divides 266 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 266 and 280. The biggest common factor number is the GCF number.
So the greatest common factor 266 and 280 is 14.
Also check out the Least Common Multiple of 266 and 280
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
Related Greatest Common Factors of 280
- GCF of 280 and 284
- GCF of 280 and 285
- GCF of 280 and 286
- GCF of 280 and 287
- GCF of 280 and 288
- GCF of 280 and 289
- GCF of 280 and 290
- GCF of 280 and 291
- GCF of 280 and 292
- GCF of 280 and 293
- GCF of 280 and 294
- GCF of 280 and 295
- GCF of 280 and 296
- GCF of 280 and 297
- GCF of 280 and 298
- GCF of 280 and 299
- GCF of 280 and 300