Greatest Common Factor of 5924 and 5931

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 5924, 5931 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5924 and 5931 is 1.

GCF(5924,5931) = 1

GCF of 5924 and 5931

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

GCF of:
and

Greatest Common Factor of 5924 and 5931

GCF of 5924 and 5931 is 1

Prime Factorization of 5924


2 5924
2 2962
1481 1481
1

Prime factors of 5924 are 2,1481. Prime factorization of 5924 in exponential form is:

5924 = 22×14811

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

∴ So by taking common prime factors GCF of 5924 and 5931 is 1

Greatest Common Factor of 5924 and 5931 by matching factors method

Factors of 5924

List of positive integer factors of 5924 that divides 5924 without a remainder.

1,2,4,1481,2962,5924

Factors of 5931

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

1,3,9,659,1977,5931

Greatest Common Factor

We found the factors and prime factorization of 5924 and 5931. The biggest common factor number is the GCF number.
So the greatest common factor 5924 and 5931 is 1.

Also check out the Least Common Multiple of 5924 and 5931

Properties of GCF 5924 and 5931

(i) The GCF of 5924 and 5931 is associative

GCF of 5924 and 5931 = GCF of 5931 and 5924

Related Greatest Common Factor of 5924

Related Greatest Common Factor of 5931

Frequently Asked Questions on GCF of 5924 and 5931

1. What is the GCF of 5924 and 5931?

Answer: GCF of 5924 and 5931 is 1.

2. What are the Factors of 5924?

Answer: Factors of 5924 are 1, 2, 4, 1481, 2962, 5924. There are 6 integers that are factors of 5924. The greatest factor of 5924 is 5924.

3. 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.

4. How to Find the GCF of 5924 and 5931?

Answer:

Greatest Common Factor of 5924 and 5931 = 1

Step 1: Find the prime factorization of 5924

5924 = 2 x 2 x 1481

Step 2: Find the prime factorization of 5931

5931 = 3 x 3 x 659

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 5924 and 5931 is 1