Greatest Common Factor of 5814 and 5818

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, 5818 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5814 and 5818 is 2.

GCF(5814,5818) = 2

GCF of 5814 and 5818

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

GCF of:
and

Greatest Common Factor of 5814 and 5818

GCF of 5814 and 5818 is 2

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 5818


2 5818
2909 2909
1

Prime factors of 5818 are 2,2909. Prime factorization of 5818 in exponential form is:

5818 = 21×29091

∴ So by taking common prime factors GCF of 5814 and 5818 is 2

Greatest Common Factor of 5814 and 5818 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 5818

List of positive integer factors of 5818 that divides 5818 without a remainder.

1,2,2909,5818

Greatest Common Factor

We found the factors and prime factorization of 5814 and 5818. The biggest common factor number is the GCF number.
So the greatest common factor 5814 and 5818 is 2.

Also check out the Least Common Multiple of 5814 and 5818

Properties of GCF 5814 and 5818

(i) The GCF of 5814 and 5818 is associative

GCF of 5814 and 5818 = GCF of 5818 and 5814

Related Greatest Common Factor of 5814

Related Greatest Common Factor of 5818

Frequently Asked Questions on GCF of 5814 and 5818

1. What is the GCF of 5814 and 5818?

Answer: GCF of 5814 and 5818 is 2.

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 5818?

Answer: Factors of 5818 are 1, 2, 2909, 5818. There are 4 integers that are factors of 5818. The greatest factor of 5818 is 5818.

4. How to Find the GCF of 5814 and 5818?

Answer:

Greatest Common Factor of 5814 and 5818 = 2

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 5818

5818 = 2 x 2909

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 5814 and 5818 is 2