Greatest Common Factor of 5802 and 5804

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 5802, 5804 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5802 and 5804 is 2.

GCF(5802,5804) = 2

GCF of 5802 and 5804

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

GCF of:
and

Greatest Common Factor of 5802 and 5804

GCF of 5802 and 5804 is 2

Prime Factorization of 5802


2 5802
3 2901
967 967
1

Prime factors of 5802 are 2,3,967. Prime factorization of 5802 in exponential form is:

5802 = 21×31×9671

Prime Factorization of 5804


2 5804
2 2902
1451 1451
1

Prime factors of 5804 are 2,1451. Prime factorization of 5804 in exponential form is:

5804 = 22×14511

∴ So by taking common prime factors GCF of 5802 and 5804 is 2

Greatest Common Factor of 5802 and 5804 by matching factors method

Factors of 5802

List of positive integer factors of 5802 that divides 5802 without a remainder.

1,2,3,6,967,1934,2901,5802

Factors of 5804

List of positive integer factors of 5804 that divides 5804 without a remainder.

1,2,4,1451,2902,5804

Greatest Common Factor

We found the factors and prime factorization of 5802 and 5804. The biggest common factor number is the GCF number.
So the greatest common factor 5802 and 5804 is 2.

Also check out the Least Common Multiple of 5802 and 5804

Properties of GCF 5802 and 5804

(i) The GCF of 5802 and 5804 is associative

GCF of 5802 and 5804 = GCF of 5804 and 5802

Related Greatest Common Factor of 5802

Related Greatest Common Factor of 5804

Frequently Asked Questions on GCF of 5802 and 5804

1. What is the GCF of 5802 and 5804?

Answer: GCF of 5802 and 5804 is 2.

2. What are the Factors of 5802?

Answer: Factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802. There are 8 integers that are factors of 5802. The greatest factor of 5802 is 5802.

3. What are the Factors of 5804?

Answer: Factors of 5804 are 1, 2, 4, 1451, 2902, 5804. There are 6 integers that are factors of 5804. The greatest factor of 5804 is 5804.

4. How to Find the GCF of 5802 and 5804?

Answer:

Greatest Common Factor of 5802 and 5804 = 2

Step 1: Find the prime factorization of 5802

5802 = 2 x 3 x 967

Step 2: Find the prime factorization of 5804

5804 = 2 x 2 x 1451

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 5802 and 5804 is 2