Greatest Common Factor of 5828 and 5836

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 5828, 5836 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5828 and 5836 is 4.

GCF(5828,5836) = 4

GCF of 5828 and 5836

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

GCF of:
and

Greatest Common Factor of 5828 and 5836

GCF of 5828 and 5836 is 4

Prime Factorization of 5828


2 5828
2 2914
31 1457
47 47
1

Prime factors of 5828 are 2,31,47. Prime factorization of 5828 in exponential form is:

5828 = 22×311×471

Prime Factorization of 5836


2 5836
2 2918
1459 1459
1

Prime factors of 5836 are 2,1459. Prime factorization of 5836 in exponential form is:

5836 = 22×14591

∴ So by taking common prime factors GCF of 5828 and 5836 is 4

Greatest Common Factor of 5828 and 5836 by matching factors method

Factors of 5828

List of positive integer factors of 5828 that divides 5828 without a remainder.

1,2,4,31,47,62,94,124,188,1457,2914,5828

Factors of 5836

List of positive integer factors of 5836 that divides 5836 without a remainder.

1,2,4,1459,2918,5836

Greatest Common Factor

We found the factors and prime factorization of 5828 and 5836. The biggest common factor number is the GCF number.
So the greatest common factor 5828 and 5836 is 4.

Also check out the Least Common Multiple of 5828 and 5836

Properties of GCF 5828 and 5836

(i) The GCF of 5828 and 5836 is associative

GCF of 5828 and 5836 = GCF of 5836 and 5828

Related Greatest Common Factor of 5828

Related Greatest Common Factor of 5836

Frequently Asked Questions on GCF of 5828 and 5836

1. What is the GCF of 5828 and 5836?

Answer: GCF of 5828 and 5836 is 4.

2. What are the Factors of 5828?

Answer: Factors of 5828 are 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828. There are 12 integers that are factors of 5828. The greatest factor of 5828 is 5828.

3. What are the Factors of 5836?

Answer: Factors of 5836 are 1, 2, 4, 1459, 2918, 5836. There are 6 integers that are factors of 5836. The greatest factor of 5836 is 5836.

4. How to Find the GCF of 5828 and 5836?

Answer:

Greatest Common Factor of 5828 and 5836 = 4

Step 1: Find the prime factorization of 5828

5828 = 2 x 2 x 31 x 47

Step 2: Find the prime factorization of 5836

5836 = 2 x 2 x 1459

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5828 and 5836 is 4