Greatest Common Factor of 5916 and 5919

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 5916, 5919 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5916 and 5919 is 3.

GCF(5916,5919) = 3

GCF of 5916 and 5919

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

GCF of:
and

Greatest Common Factor of 5916 and 5919

GCF of 5916 and 5919 is 3

Prime Factorization of 5916


2 5916
2 2958
3 1479
17 493
29 29
1

Prime factors of 5916 are 2,3,17,29. Prime factorization of 5916 in exponential form is:

5916 = 22×31×171×291

Prime Factorization of 5919


3 5919
1973 1973
1

Prime factors of 5919 are 3,1973. Prime factorization of 5919 in exponential form is:

5919 = 31×19731

∴ So by taking common prime factors GCF of 5916 and 5919 is 3

Greatest Common Factor of 5916 and 5919 by matching factors method

Factors of 5916

List of positive integer factors of 5916 that divides 5916 without a remainder.

1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916

Factors of 5919

List of positive integer factors of 5919 that divides 5919 without a remainder.

1,3,1973,5919

Greatest Common Factor

We found the factors and prime factorization of 5916 and 5919. The biggest common factor number is the GCF number.
So the greatest common factor 5916 and 5919 is 3.

Also check out the Least Common Multiple of 5916 and 5919

Properties of GCF 5916 and 5919

(i) The GCF of 5916 and 5919 is associative

GCF of 5916 and 5919 = GCF of 5919 and 5916

Related Greatest Common Factor of 5916

Related Greatest Common Factor of 5919

Frequently Asked Questions on GCF of 5916 and 5919

1. What is the GCF of 5916 and 5919?

Answer: GCF of 5916 and 5919 is 3.

2. What are the Factors of 5916?

Answer: Factors of 5916 are 1, 2, 3, 4, 6, 12, 17, 29, 34, 51, 58, 68, 87, 102, 116, 174, 204, 348, 493, 986, 1479, 1972, 2958, 5916. There are 24 integers that are factors of 5916. The greatest factor of 5916 is 5916.

3. What are the Factors of 5919?

Answer: Factors of 5919 are 1, 3, 1973, 5919. There are 4 integers that are factors of 5919. The greatest factor of 5919 is 5919.

4. How to Find the GCF of 5916 and 5919?

Answer:

Greatest Common Factor of 5916 and 5919 = 3

Step 1: Find the prime factorization of 5916

5916 = 2 x 2 x 3 x 17 x 29

Step 2: Find the prime factorization of 5919

5919 = 3 x 1973

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 5916 and 5919 is 3