Greatest Common Factor of 5326 and 5330

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, 5330 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5326 and 5330 is 2.

GCF(5326,5330) = 2

GCF of 5326 and 5330

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

GCF of:
and

Greatest Common Factor of 5326 and 5330

GCF of 5326 and 5330 is 2

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 5330


2 5330
5 2665
13 533
41 41
1

Prime factors of 5330 are 2,5,13,41. Prime factorization of 5330 in exponential form is:

5330 = 21×51×131×411

∴ So by taking common prime factors GCF of 5326 and 5330 is 2

Greatest Common Factor of 5326 and 5330 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 5330

List of positive integer factors of 5330 that divides 5330 without a remainder.

1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330

Greatest Common Factor

We found the factors and prime factorization of 5326 and 5330. The biggest common factor number is the GCF number.
So the greatest common factor 5326 and 5330 is 2.

Also check out the Least Common Multiple of 5326 and 5330

Properties of GCF 5326 and 5330

(i) The GCF of 5326 and 5330 is associative

GCF of 5326 and 5330 = GCF of 5330 and 5326

Related Greatest Common Factor of 5326

Related Greatest Common Factor of 5330

Frequently Asked Questions on GCF of 5326 and 5330

1. What is the GCF of 5326 and 5330?

Answer: GCF of 5326 and 5330 is 2.

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 5330?

Answer: Factors of 5330 are 1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330. There are 16 integers that are factors of 5330. The greatest factor of 5330 is 5330.

4. How to Find the GCF of 5326 and 5330?

Answer:

Greatest Common Factor of 5326 and 5330 = 2

Step 1: Find the prime factorization of 5326

5326 = 2 x 2663

Step 2: Find the prime factorization of 5330

5330 = 2 x 5 x 13 x 41

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 5326 and 5330 is 2