Greatest Common Factor of 5814 and 5820

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 5814, 5820 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5814 and 5820 is 6.

GCF(5814,5820) = 6

GCF of 5814 and 5820

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

GCF of:
and

Greatest Common Factor of 5814 and 5820

GCF of 5814 and 5820 is 6

Prime Factorization of 5814


2 5814
3 2907
3 969
17 323
19 19
1

Prime factors of 5814 are 2,3,17,19. Prime factorization of 5814 in exponential form is:

5814 = 21×32×171×191

Prime Factorization of 5820


2 5820
2 2910
3 1455
5 485
97 97
1

Prime factors of 5820 are 2,3,5,97. Prime factorization of 5820 in exponential form is:

5820 = 22×31×51×971

∴ So by taking common prime factors GCF of 5814 and 5820 is 6

Greatest Common Factor of 5814 and 5820 by matching factors method

Factors of 5814

List of positive integer factors of 5814 that divides 5814 without a remainder.

1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814

Factors of 5820

List of positive integer factors of 5820 that divides 5820 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,97,194,291,388,485,582,970,1164,1455,1940,2910,5820

Greatest Common Factor

We found the factors and prime factorization of 5814 and 5820. The biggest common factor number is the GCF number.
So the greatest common factor 5814 and 5820 is 6.

Also check out the Least Common Multiple of 5814 and 5820

Properties of GCF 5814 and 5820

(i) The GCF of 5814 and 5820 is associative

GCF of 5814 and 5820 = GCF of 5820 and 5814

Related Greatest Common Factor of 5814

Related Greatest Common Factor of 5820

Frequently Asked Questions on GCF of 5814 and 5820

1. What is the GCF of 5814 and 5820?

Answer: GCF of 5814 and 5820 is 6.

2. What are the Factors of 5814?

Answer: Factors of 5814 are 1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814. There are 24 integers that are factors of 5814. The greatest factor of 5814 is 5814.

3. What are the Factors of 5820?

Answer: Factors of 5820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820. There are 24 integers that are factors of 5820. The greatest factor of 5820 is 5820.

4. How to Find the GCF of 5814 and 5820?

Answer:

Greatest Common Factor of 5814 and 5820 = 6

Step 1: Find the prime factorization of 5814

5814 = 2 x 3 x 3 x 17 x 19

Step 2: Find the prime factorization of 5820

5820 = 2 x 2 x 3 x 5 x 97

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5814 and 5820 is 6