Greatest Common Factor of 5802 and 5805

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, 5805 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5802 and 5805 is 3.

GCF(5802,5805) = 3

GCF of 5802 and 5805

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

GCF of:
and

Greatest Common Factor of 5802 and 5805

GCF of 5802 and 5805 is 3

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 5805


3 5805
3 1935
3 645
5 215
43 43
1

Prime factors of 5805 are 3,5,43. Prime factorization of 5805 in exponential form is:

5805 = 33×51×431

∴ So by taking common prime factors GCF of 5802 and 5805 is 3

Greatest Common Factor of 5802 and 5805 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 5805

List of positive integer factors of 5805 that divides 5805 without a remainder.

1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805

Greatest Common Factor

We found the factors and prime factorization of 5802 and 5805. The biggest common factor number is the GCF number.
So the greatest common factor 5802 and 5805 is 3.

Also check out the Least Common Multiple of 5802 and 5805

Properties of GCF 5802 and 5805

(i) The GCF of 5802 and 5805 is associative

GCF of 5802 and 5805 = GCF of 5805 and 5802

Related Greatest Common Factor of 5802

Related Greatest Common Factor of 5805

Frequently Asked Questions on GCF of 5802 and 5805

1. What is the GCF of 5802 and 5805?

Answer: GCF of 5802 and 5805 is 3.

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 5805?

Answer: Factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805. There are 16 integers that are factors of 5805. The greatest factor of 5805 is 5805.

4. How to Find the GCF of 5802 and 5805?

Answer:

Greatest Common Factor of 5802 and 5805 = 3

Step 1: Find the prime factorization of 5802

5802 = 2 x 3 x 967

Step 2: Find the prime factorization of 5805

5805 = 3 x 3 x 3 x 5 x 43

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 5802 and 5805 is 3