Greatest Common Factor of 266 and 268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 266, 268 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 266 and 268 is 2.

GCF(266,268) = 2

GCF of 266 and 268

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 266 and 268

GCF of 266 and 268 is 2

Prime Factorization of 266


2 266
7 133
19 19
1

Prime factors of 266 are 2,7,19. Prime factorization of 266 in exponential form is:

266 = 21×71×191

Prime Factorization of 268


2 268
2 134
67 67
1

Prime factors of 268 are 2,67. Prime factorization of 268 in exponential form is:

268 = 22×671

∴ So by taking common prime factors GCF of 266 and 268 is 2

Greatest Common Factor of 266 and 268 by matching factors method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors and prime factorization of 266 and 268. The biggest common factor number is the GCF number.
So the greatest common factor 266 and 268 is 2.

Also check out the Least Common Multiple of 266 and 268

Properties of GCF 266 and 268

(i) The GCF of 266 and 268 is associative

GCF of 266 and 268 = GCF of 268 and 266

Related Greatest Common Factor of 266

Related Greatest Common Factor of 268

Frequently Asked Questions on GCF of 266 and 268

1. What is the GCF of 266 and 268?

Answer: GCF of 266 and 268 is 2.

2. What are the Factors of 266?

Answer: Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266. There are 8 integers that are factors of 266. The greatest factor of 266 is 266.

3. What are the Factors of 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

4. How to Find the GCF of 266 and 268?

Answer:

Greatest Common Factor of 266 and 268 = 2

Step 1: Find the prime factorization of 266

266 = 2 x 7 x 19

Step 2: Find the prime factorization of 268

268 = 2 x 2 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 266 and 268 is 2