Greatest Common Factor of 5326 and 5331

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 5326, 5331 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5326 and 5331 is 1.

GCF(5326,5331) = 1

GCF of 5326 and 5331

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

GCF of:
and

Greatest Common Factor of 5326 and 5331

GCF of 5326 and 5331 is 1

Prime Factorization of 5326


2 5326
2663 2663
1

Prime factors of 5326 are 2,2663. Prime factorization of 5326 in exponential form is:

5326 = 21×26631

Prime Factorization of 5331


3 5331
1777 1777
1

Prime factors of 5331 are 3,1777. Prime factorization of 5331 in exponential form is:

5331 = 31×17771

∴ So by taking common prime factors GCF of 5326 and 5331 is 1

Greatest Common Factor of 5326 and 5331 by matching factors method

Factors of 5326

List of positive integer factors of 5326 that divides 5326 without a remainder.

1,2,2663,5326

Factors of 5331

List of positive integer factors of 5331 that divides 5331 without a remainder.

1,3,1777,5331

Greatest Common Factor

We found the factors and prime factorization of 5326 and 5331. The biggest common factor number is the GCF number.
So the greatest common factor 5326 and 5331 is 1.

Also check out the Least Common Multiple of 5326 and 5331

Properties of GCF 5326 and 5331

(i) The GCF of 5326 and 5331 is associative

GCF of 5326 and 5331 = GCF of 5331 and 5326

Frequently Asked Questions on GCF of 5326 and 5331

1. What is the GCF of 5326 and 5331?

Answer: GCF of 5326 and 5331 is 1.

2. What are the Factors of 5326?

Answer: Factors of 5326 are 1, 2, 2663, 5326. There are 4 integers that are factors of 5326. The greatest factor of 5326 is 5326.

3. What are the Factors of 5331?

Answer: Factors of 5331 are 1, 3, 1777, 5331. There are 4 integers that are factors of 5331. The greatest factor of 5331 is 5331.

4. How to Find the GCF of 5326 and 5331?

Answer:

Greatest Common Factor of 5326 and 5331 = 1

Step 1: Find the prime factorization of 5326

5326 = 2 x 2663

Step 2: Find the prime factorization of 5331

5331 = 3 x 1777

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5326 and 5331 is 1