Greatest Common Factor of 5829 and 5835

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 5829, 5835 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5829 and 5835 is 3.

GCF(5829,5835) = 3

GCF of 5829 and 5835

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

GCF of:
and

Greatest Common Factor of 5829 and 5835

GCF of 5829 and 5835 is 3

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

Prime Factorization of 5835


3 5835
5 1945
389 389
1

Prime factors of 5835 are 3,5,389. Prime factorization of 5835 in exponential form is:

5835 = 31×51×3891

∴ So by taking common prime factors GCF of 5829 and 5835 is 3

Greatest Common Factor of 5829 and 5835 by matching factors method

Factors of 5829

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

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

Factors of 5835

List of positive integer factors of 5835 that divides 5835 without a remainder.

1,3,5,15,389,1167,1945,5835

Greatest Common Factor

We found the factors and prime factorization of 5829 and 5835. The biggest common factor number is the GCF number.
So the greatest common factor 5829 and 5835 is 3.

Also check out the Least Common Multiple of 5829 and 5835

Properties of GCF 5829 and 5835

(i) The GCF of 5829 and 5835 is associative

GCF of 5829 and 5835 = GCF of 5835 and 5829

Related Greatest Common Factor of 5829

Related Greatest Common Factor of 5835

Frequently Asked Questions on GCF of 5829 and 5835

1. What is the GCF of 5829 and 5835?

Answer: GCF of 5829 and 5835 is 3.

2. 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.

3. What are the Factors of 5835?

Answer: Factors of 5835 are 1, 3, 5, 15, 389, 1167, 1945, 5835. There are 8 integers that are factors of 5835. The greatest factor of 5835 is 5835.

4. How to Find the GCF of 5829 and 5835?

Answer:

Greatest Common Factor of 5829 and 5835 = 3

Step 1: Find the prime factorization of 5829

5829 = 3 x 29 x 67

Step 2: Find the prime factorization of 5835

5835 = 3 x 5 x 389

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5829 and 5835 is 3