Greatest Common Factor of 5985 and 5991

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 5985, 5991 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5985 and 5991 is 3.

GCF(5985,5991) = 3

GCF of 5985 and 5991

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

GCF of:
and

Greatest Common Factor of 5985 and 5991

GCF of 5985 and 5991 is 3

Prime Factorization of 5985


3 5985
3 1995
5 665
7 133
19 19
1

Prime factors of 5985 are 3,5,7,19. Prime factorization of 5985 in exponential form is:

5985 = 32×51×71×191

Prime Factorization of 5991


3 5991
1997 1997
1

Prime factors of 5991 are 3,1997. Prime factorization of 5991 in exponential form is:

5991 = 31×19971

∴ So by taking common prime factors GCF of 5985 and 5991 is 3

Greatest Common Factor of 5985 and 5991 by matching factors method

Factors of 5985

List of positive integer factors of 5985 that divides 5985 without a remainder.

1,3,5,7,9,15,19,21,35,45,57,63,95,105,133,171,285,315,399,665,855,1197,1995,5985

Factors of 5991

List of positive integer factors of 5991 that divides 5991 without a remainder.

1,3,1997,5991

Greatest Common Factor

We found the factors and prime factorization of 5985 and 5991. The biggest common factor number is the GCF number.
So the greatest common factor 5985 and 5991 is 3.

Also check out the Least Common Multiple of 5985 and 5991

Properties of GCF 5985 and 5991

(i) The GCF of 5985 and 5991 is associative

GCF of 5985 and 5991 = GCF of 5991 and 5985

Related Greatest Common Factor of 5985

Related Greatest Common Factor of 5991

Frequently Asked Questions on GCF of 5985 and 5991

1. What is the GCF of 5985 and 5991?

Answer: GCF of 5985 and 5991 is 3.

2. What are the Factors of 5985?

Answer: Factors of 5985 are 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985. There are 24 integers that are factors of 5985. The greatest factor of 5985 is 5985.

3. What are the Factors of 5991?

Answer: Factors of 5991 are 1, 3, 1997, 5991. There are 4 integers that are factors of 5991. The greatest factor of 5991 is 5991.

4. How to Find the GCF of 5985 and 5991?

Answer:

Greatest Common Factor of 5985 and 5991 = 3

Step 1: Find the prime factorization of 5985

5985 = 3 x 3 x 5 x 7 x 19

Step 2: Find the prime factorization of 5991

5991 = 3 x 1997

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 5985 and 5991 is 3