Greatest Common Factor of 5811 and 5814

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 5811, 5814 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5811 and 5814 is 3.

GCF(5811,5814) = 3

GCF of 5811 and 5814

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

GCF of:
and

Greatest Common Factor of 5811 and 5814

GCF of 5811 and 5814 is 3

Prime Factorization of 5811


3 5811
13 1937
149 149
1

Prime factors of 5811 are 3,13,149. Prime factorization of 5811 in exponential form is:

5811 = 31×131×1491

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

∴ So by taking common prime factors GCF of 5811 and 5814 is 3

Greatest Common Factor of 5811 and 5814 by matching factors method

Factors of 5811

List of positive integer factors of 5811 that divides 5811 without a remainder.

1,3,13,39,149,447,1937,5811

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

Greatest Common Factor

We found the factors and prime factorization of 5811 and 5814. The biggest common factor number is the GCF number.
So the greatest common factor 5811 and 5814 is 3.

Also check out the Least Common Multiple of 5811 and 5814

Properties of GCF 5811 and 5814

(i) The GCF of 5811 and 5814 is associative

GCF of 5811 and 5814 = GCF of 5814 and 5811

Related Greatest Common Factor of 5811

Related Greatest Common Factor of 5814

Frequently Asked Questions on GCF of 5811 and 5814

1. What is the GCF of 5811 and 5814?

Answer: GCF of 5811 and 5814 is 3.

2. What are the Factors of 5811?

Answer: Factors of 5811 are 1, 3, 13, 39, 149, 447, 1937, 5811. There are 8 integers that are factors of 5811. The greatest factor of 5811 is 5811.

3. 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.

4. How to Find the GCF of 5811 and 5814?

Answer:

Greatest Common Factor of 5811 and 5814 = 3

Step 1: Find the prime factorization of 5811

5811 = 3 x 13 x 149

Step 2: Find the prime factorization of 5814

5814 = 2 x 3 x 3 x 17 x 19

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 5811 and 5814 is 3