Greatest Common Factor of 5828 and 5830

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, 5830 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5828 and 5830 is 2.

GCF(5828,5830) = 2

GCF of 5828 and 5830

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

GCF of:
and

Greatest Common Factor of 5828 and 5830

GCF of 5828 and 5830 is 2

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 5830


2 5830
5 2915
11 583
53 53
1

Prime factors of 5830 are 2,5,11,53. Prime factorization of 5830 in exponential form is:

5830 = 21×51×111×531

∴ So by taking common prime factors GCF of 5828 and 5830 is 2

Greatest Common Factor of 5828 and 5830 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 5830

List of positive integer factors of 5830 that divides 5830 without a remainder.

1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830

Greatest Common Factor

We found the factors and prime factorization of 5828 and 5830. The biggest common factor number is the GCF number.
So the greatest common factor 5828 and 5830 is 2.

Also check out the Least Common Multiple of 5828 and 5830

Properties of GCF 5828 and 5830

(i) The GCF of 5828 and 5830 is associative

GCF of 5828 and 5830 = GCF of 5830 and 5828

Related Greatest Common Factor of 5828

Related Greatest Common Factor of 5830

Frequently Asked Questions on GCF of 5828 and 5830

1. What is the GCF of 5828 and 5830?

Answer: GCF of 5828 and 5830 is 2.

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 5830?

Answer: Factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830. There are 16 integers that are factors of 5830. The greatest factor of 5830 is 5830.

4. How to Find the GCF of 5828 and 5830?

Answer:

Greatest Common Factor of 5828 and 5830 = 2

Step 1: Find the prime factorization of 5828

5828 = 2 x 2 x 31 x 47

Step 2: Find the prime factorization of 5830

5830 = 2 x 5 x 11 x 53

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 5828 and 5830 is 2