What is the Greatest Common Factor of 266 and 270?
Greatest common factor (GCF) of 266 and 270 is 2.
GCF(266,270) = 2
We will now calculate the prime factors of 266 and 270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 266 and 270.
How to find the GCF of 266 and 270?
We will first find the prime factorization of 266 and 270. After we will calculate the factors of 266 and 270 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 270
Prime factors of 270 are 2, 3, 5. Prime factorization of 270 in exponential form is:
270 = 21 × 33 × 51
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 270
List of positive integer factors of 270 that divides 266 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 266 and 270. The biggest common factor number is the GCF number.
So the greatest common factor 266 and 270 is 2.
Also check out the Least Common Multiple of 266 and 270
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 270
- GCF of 270 and 274
- GCF of 270 and 275
- GCF of 270 and 276
- GCF of 270 and 277
- GCF of 270 and 278
- GCF of 270 and 279
- GCF of 270 and 280
- GCF of 270 and 281
- GCF of 270 and 282
- GCF of 270 and 283
- GCF of 270 and 284
- GCF of 270 and 285
- GCF of 270 and 286
- GCF of 270 and 287
- GCF of 270 and 288
- GCF of 270 and 289
- GCF of 270 and 290