Greatest Common Factor of 5889 and 5895

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 5889, 5895 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5889 and 5895 is 3.

GCF(5889,5895) = 3

GCF of 5889 and 5895

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

GCF of:
and

Greatest Common Factor of 5889 and 5895

GCF of 5889 and 5895 is 3

Prime Factorization of 5889


3 5889
13 1963
151 151
1

Prime factors of 5889 are 3,13,151. Prime factorization of 5889 in exponential form is:

5889 = 31×131×1511

Prime Factorization of 5895


3 5895
3 1965
5 655
131 131
1

Prime factors of 5895 are 3,5,131. Prime factorization of 5895 in exponential form is:

5895 = 32×51×1311

∴ So by taking common prime factors GCF of 5889 and 5895 is 3

Greatest Common Factor of 5889 and 5895 by matching factors method

Factors of 5889

List of positive integer factors of 5889 that divides 5889 without a remainder.

1,3,13,39,151,453,1963,5889

Factors of 5895

List of positive integer factors of 5895 that divides 5895 without a remainder.

1,3,5,9,15,45,131,393,655,1179,1965,5895

Greatest Common Factor

We found the factors and prime factorization of 5889 and 5895. The biggest common factor number is the GCF number.
So the greatest common factor 5889 and 5895 is 3.

Also check out the Least Common Multiple of 5889 and 5895

Properties of GCF 5889 and 5895

(i) The GCF of 5889 and 5895 is associative

GCF of 5889 and 5895 = GCF of 5895 and 5889

Related Greatest Common Factor of 5889

Related Greatest Common Factor of 5895

Frequently Asked Questions on GCF of 5889 and 5895

1. What is the GCF of 5889 and 5895?

Answer: GCF of 5889 and 5895 is 3.

2. What are the Factors of 5889?

Answer: Factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889. There are 8 integers that are factors of 5889. The greatest factor of 5889 is 5889.

3. What are the Factors of 5895?

Answer: Factors of 5895 are 1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895. There are 12 integers that are factors of 5895. The greatest factor of 5895 is 5895.

4. How to Find the GCF of 5889 and 5895?

Answer:

Greatest Common Factor of 5889 and 5895 = 3

Step 1: Find the prime factorization of 5889

5889 = 3 x 13 x 151

Step 2: Find the prime factorization of 5895

5895 = 3 x 3 x 5 x 131

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 5889 and 5895 is 3