Greatest Common Factor of 5884 and 5889

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 5884, 5889 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5884 and 5889 is 1.

GCF(5884,5889) = 1

GCF of 5884 and 5889

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

GCF of:
and

Greatest Common Factor of 5884 and 5889

GCF of 5884 and 5889 is 1

Prime Factorization of 5884


2 5884
2 2942
1471 1471
1

Prime factors of 5884 are 2,1471. Prime factorization of 5884 in exponential form is:

5884 = 22×14711

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

∴ So by taking common prime factors GCF of 5884 and 5889 is 1

Greatest Common Factor of 5884 and 5889 by matching factors method

Factors of 5884

List of positive integer factors of 5884 that divides 5884 without a remainder.

1,2,4,1471,2942,5884

Factors of 5889

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

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

Greatest Common Factor

We found the factors and prime factorization of 5884 and 5889. The biggest common factor number is the GCF number.
So the greatest common factor 5884 and 5889 is 1.

Also check out the Least Common Multiple of 5884 and 5889

Properties of GCF 5884 and 5889

(i) The GCF of 5884 and 5889 is associative

GCF of 5884 and 5889 = GCF of 5889 and 5884

Related Greatest Common Factor of 5884

Related Greatest Common Factor of 5889

Frequently Asked Questions on GCF of 5884 and 5889

1. What is the GCF of 5884 and 5889?

Answer: GCF of 5884 and 5889 is 1.

2. What are the Factors of 5884?

Answer: Factors of 5884 are 1, 2, 4, 1471, 2942, 5884. There are 6 integers that are factors of 5884. The greatest factor of 5884 is 5884.

3. 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.

4. How to Find the GCF of 5884 and 5889?

Answer:

Greatest Common Factor of 5884 and 5889 = 1

Step 1: Find the prime factorization of 5884

5884 = 2 x 2 x 1471

Step 2: Find the prime factorization of 5889

5889 = 3 x 13 x 151

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5884 and 5889 is 1