Greatest Common Factor of 5982 and 5985

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 5982, 5985 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5982 and 5985 is 3.

GCF(5982,5985) = 3

GCF of 5982 and 5985

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

GCF of:
and

Greatest Common Factor of 5982 and 5985

GCF of 5982 and 5985 is 3

Prime Factorization of 5982


2 5982
3 2991
997 997
1

Prime factors of 5982 are 2,3,997. Prime factorization of 5982 in exponential form is:

5982 = 21×31×9971

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

∴ So by taking common prime factors GCF of 5982 and 5985 is 3

Greatest Common Factor of 5982 and 5985 by matching factors method

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1,2,3,6,997,1994,2991,5982

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

Greatest Common Factor

We found the factors and prime factorization of 5982 and 5985. The biggest common factor number is the GCF number.
So the greatest common factor 5982 and 5985 is 3.

Also check out the Least Common Multiple of 5982 and 5985

Properties of GCF 5982 and 5985

(i) The GCF of 5982 and 5985 is associative

GCF of 5982 and 5985 = GCF of 5985 and 5982

Related Greatest Common Factor of 5982

Related Greatest Common Factor of 5985

Frequently Asked Questions on GCF of 5982 and 5985

1. What is the GCF of 5982 and 5985?

Answer: GCF of 5982 and 5985 is 3.

2. What are the Factors of 5982?

Answer: Factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982. There are 8 integers that are factors of 5982. The greatest factor of 5982 is 5982.

3. 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.

4. How to Find the GCF of 5982 and 5985?

Answer:

Greatest Common Factor of 5982 and 5985 = 3

Step 1: Find the prime factorization of 5982

5982 = 2 x 3 x 997

Step 2: Find the prime factorization of 5985

5985 = 3 x 3 x 5 x 7 x 19

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 5982 and 5985 is 3