Greatest Common Factor of 26331 and 26337

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 26331, 26337 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26331 and 26337 is 3.

GCF(26331,26337) = 3

GCF of 26331 and 26337

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

GCF of:
and

Greatest Common Factor of 26331 and 26337

GCF of 26331 and 26337 is 3

Prime Factorization of 26331


3 26331
67 8777
131 131
1

Prime factors of 26331 are 3,67,131. Prime factorization of 26331 in exponential form is:

26331 = 31×671×1311

Prime Factorization of 26337


3 26337
8779 8779
1

Prime factors of 26337 are 3,8779. Prime factorization of 26337 in exponential form is:

26337 = 31×87791

∴ So by taking common prime factors GCF of 26331 and 26337 is 3

Greatest Common Factor of 26331 and 26337 by matching factors method

Factors of 26331

List of positive integer factors of 26331 that divides 26331 without a remainder.

1,3,67,131,201,393,8777,26331

Factors of 26337

List of positive integer factors of 26337 that divides 26337 without a remainder.

1,3,8779,26337

Greatest Common Factor

We found the factors and prime factorization of 26331 and 26337. The biggest common factor number is the GCF number.
So the greatest common factor 26331 and 26337 is 3.

Also check out the Least Common Multiple of 26331 and 26337

Properties of GCF 26331 and 26337

(i) The GCF of 26331 and 26337 is associative

GCF of 26331 and 26337 = GCF of 26337 and 26331

Related Greatest Common Factor of 26331

Related Greatest Common Factor of 26337

Frequently Asked Questions on GCF of 26331 and 26337

1. What is the GCF of 26331 and 26337?

Answer: GCF of 26331 and 26337 is 3.

2. What are the Factors of 26331?

Answer: Factors of 26331 are 1, 3, 67, 131, 201, 393, 8777, 26331. There are 8 integers that are factors of 26331. The greatest factor of 26331 is 26331.

3. What are the Factors of 26337?

Answer: Factors of 26337 are 1, 3, 8779, 26337. There are 4 integers that are factors of 26337. The greatest factor of 26337 is 26337.

4. How to Find the GCF of 26331 and 26337?

Answer:

Greatest Common Factor of 26331 and 26337 = 3

Step 1: Find the prime factorization of 26331

26331 = 3 x 67 x 131

Step 2: Find the prime factorization of 26337

26337 = 3 x 8779

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

GCF = 3

Step 4: Therefore, the greatest common factor of 26331 and 26337 is 3