Greatest Common Factor of 5804 and 5810

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 5804, 5810 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5804 and 5810 is 2.

GCF(5804,5810) = 2

GCF of 5804 and 5810

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

GCF of:
and

Greatest Common Factor of 5804 and 5810

GCF of 5804 and 5810 is 2

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

Prime Factorization of 5810


2 5810
5 2905
7 581
83 83
1

Prime factors of 5810 are 2,5,7,83. Prime factorization of 5810 in exponential form is:

5810 = 21×51×71×831

∴ So by taking common prime factors GCF of 5804 and 5810 is 2

Greatest Common Factor of 5804 and 5810 by matching factors method

Factors of 5804

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

1,2,4,1451,2902,5804

Factors of 5810

List of positive integer factors of 5810 that divides 5810 without a remainder.

1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810

Greatest Common Factor

We found the factors and prime factorization of 5804 and 5810. The biggest common factor number is the GCF number.
So the greatest common factor 5804 and 5810 is 2.

Also check out the Least Common Multiple of 5804 and 5810

Properties of GCF 5804 and 5810

(i) The GCF of 5804 and 5810 is associative

GCF of 5804 and 5810 = GCF of 5810 and 5804

Related Greatest Common Factor of 5804

Related Greatest Common Factor of 5810

Frequently Asked Questions on GCF of 5804 and 5810

1. What is the GCF of 5804 and 5810?

Answer: GCF of 5804 and 5810 is 2.

2. 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.

3. What are the Factors of 5810?

Answer: Factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810. There are 16 integers that are factors of 5810. The greatest factor of 5810 is 5810.

4. How to Find the GCF of 5804 and 5810?

Answer:

Greatest Common Factor of 5804 and 5810 = 2

Step 1: Find the prime factorization of 5804

5804 = 2 x 2 x 1451

Step 2: Find the prime factorization of 5810

5810 = 2 x 5 x 7 x 83

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 5804 and 5810 is 2