Greatest Common Factor of 5931 and 5938

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 5931, 5938 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5931 and 5938 is 1.

GCF(5931,5938) = 1

GCF of 5931 and 5938

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

GCF of:
and

Greatest Common Factor of 5931 and 5938

GCF of 5931 and 5938 is 1

Prime Factorization of 5931


3 5931
3 1977
659 659
1

Prime factors of 5931 are 3,659. Prime factorization of 5931 in exponential form is:

5931 = 32×6591

Prime Factorization of 5938


2 5938
2969 2969
1

Prime factors of 5938 are 2,2969. Prime factorization of 5938 in exponential form is:

5938 = 21×29691

∴ So by taking common prime factors GCF of 5931 and 5938 is 1

Greatest Common Factor of 5931 and 5938 by matching factors method

Factors of 5931

List of positive integer factors of 5931 that divides 5931 without a remainder.

1,3,9,659,1977,5931

Factors of 5938

List of positive integer factors of 5938 that divides 5938 without a remainder.

1,2,2969,5938

Greatest Common Factor

We found the factors and prime factorization of 5931 and 5938. The biggest common factor number is the GCF number.
So the greatest common factor 5931 and 5938 is 1.

Also check out the Least Common Multiple of 5931 and 5938

Properties of GCF 5931 and 5938

(i) The GCF of 5931 and 5938 is associative

GCF of 5931 and 5938 = GCF of 5938 and 5931

Related Greatest Common Factor of 5931

Related Greatest Common Factor of 5938

Frequently Asked Questions on GCF of 5931 and 5938

1. What is the GCF of 5931 and 5938?

Answer: GCF of 5931 and 5938 is 1.

2. What are the Factors of 5931?

Answer: Factors of 5931 are 1, 3, 9, 659, 1977, 5931. There are 6 integers that are factors of 5931. The greatest factor of 5931 is 5931.

3. What are the Factors of 5938?

Answer: Factors of 5938 are 1, 2, 2969, 5938. There are 4 integers that are factors of 5938. The greatest factor of 5938 is 5938.

4. How to Find the GCF of 5931 and 5938?

Answer:

Greatest Common Factor of 5931 and 5938 = 1

Step 1: Find the prime factorization of 5931

5931 = 3 x 3 x 659

Step 2: Find the prime factorization of 5938

5938 = 2 x 2969

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 5931 and 5938 is 1