Greatest Common Factor of 5925 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 5925, 5931 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5925 and 5931 is 3.

GCF(5925,5931) = 3

GCF of 5925 and 5931

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

GCF of:
and

Greatest Common Factor of 5925 and 5931

GCF of 5925 and 5931 is 3

Prime Factorization of 5925


3 5925
5 1975
5 395
79 79
1

Prime factors of 5925 are 3,5,79. Prime factorization of 5925 in exponential form is:

5925 = 31×52×791

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 5925 and 5931 is 3

Greatest Common Factor of 5925 and 5931 by matching factors method

Factors of 5925

List of positive integer factors of 5925 that divides 5925 without a remainder.

1,3,5,15,25,75,79,237,395,1185,1975,5925

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 5925 and 5931. The biggest common factor number is the GCF number.
So the greatest common factor 5925 and 5931 is 3.

Also check out the Least Common Multiple of 5925 and 5931

Properties of GCF 5925 and 5931

(i) The GCF of 5925 and 5931 is associative

GCF of 5925 and 5931 = GCF of 5931 and 5925

Related Greatest Common Factor of 5925

Related Greatest Common Factor of 5931

Frequently Asked Questions on GCF of 5925 and 5931

1. What is the GCF of 5925 and 5931?

Answer: GCF of 5925 and 5931 is 3.

2. What are the Factors of 5925?

Answer: Factors of 5925 are 1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975, 5925. There are 12 integers that are factors of 5925. The greatest factor of 5925 is 5925.

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 5925 and 5931?

Answer:

Greatest Common Factor of 5925 and 5931 = 3

Step 1: Find the prime factorization of 5925

5925 = 3 x 5 x 5 x 79

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 = 3

Step 4: Therefore, the greatest common factor of 5925 and 5931 is 3