Greatest Common Factor of 5828 and 5829

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, 5829 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5828 and 5829 is 1.

GCF(5828,5829) = 1

GCF of 5828 and 5829

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

GCF of:
and

Greatest Common Factor of 5828 and 5829

GCF of 5828 and 5829 is 1

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 5829


3 5829
29 1943
67 67
1

Prime factors of 5829 are 3,29,67. Prime factorization of 5829 in exponential form is:

5829 = 31×291×671

∴ So by taking common prime factors GCF of 5828 and 5829 is 1

Greatest Common Factor of 5828 and 5829 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 5829

List of positive integer factors of 5829 that divides 5829 without a remainder.

1,3,29,67,87,201,1943,5829

Greatest Common Factor

We found the factors and prime factorization of 5828 and 5829. The biggest common factor number is the GCF number.
So the greatest common factor 5828 and 5829 is 1.

Also check out the Least Common Multiple of 5828 and 5829

Properties of GCF 5828 and 5829

(i) The GCF of 5828 and 5829 is associative

GCF of 5828 and 5829 = GCF of 5829 and 5828

Related Greatest Common Factor of 5828

Related Greatest Common Factor of 5829

Frequently Asked Questions on GCF of 5828 and 5829

1. What is the GCF of 5828 and 5829?

Answer: GCF of 5828 and 5829 is 1.

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 5829?

Answer: Factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829. There are 8 integers that are factors of 5829. The greatest factor of 5829 is 5829.

4. How to Find the GCF of 5828 and 5829?

Answer:

Greatest Common Factor of 5828 and 5829 = 1

Step 1: Find the prime factorization of 5828

5828 = 2 x 2 x 31 x 47

Step 2: Find the prime factorization of 5829

5829 = 3 x 29 x 67

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 5828 and 5829 is 1