Greatest Common Factor of 5326 and 5332

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, 5332 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5326 and 5332 is 2.

GCF(5326,5332) = 2

GCF of 5326 and 5332

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

GCF of:
and

Greatest Common Factor of 5326 and 5332

GCF of 5326 and 5332 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 5332


2 5332
2 2666
31 1333
43 43
1

Prime factors of 5332 are 2,31,43. Prime factorization of 5332 in exponential form is:

5332 = 22×311×431

∴ So by taking common prime factors GCF of 5326 and 5332 is 2

Greatest Common Factor of 5326 and 5332 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 5332

List of positive integer factors of 5332 that divides 5332 without a remainder.

1,2,4,31,43,62,86,124,172,1333,2666,5332

Greatest Common Factor

We found the factors and prime factorization of 5326 and 5332. The biggest common factor number is the GCF number.
So the greatest common factor 5326 and 5332 is 2.

Also check out the Least Common Multiple of 5326 and 5332

Properties of GCF 5326 and 5332

(i) The GCF of 5326 and 5332 is associative

GCF of 5326 and 5332 = GCF of 5332 and 5326

Related Greatest Common Factor of 5326

Related Greatest Common Factor of 5332

Frequently Asked Questions on GCF of 5326 and 5332

1. What is the GCF of 5326 and 5332?

Answer: GCF of 5326 and 5332 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 5332?

Answer: Factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332. There are 12 integers that are factors of 5332. The greatest factor of 5332 is 5332.

4. How to Find the GCF of 5326 and 5332?

Answer:

Greatest Common Factor of 5326 and 5332 = 2

Step 1: Find the prime factorization of 5326

5326 = 2 x 2663

Step 2: Find the prime factorization of 5332

5332 = 2 x 2 x 31 x 43

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 5332 is 2