Greatest Common Factor of 5982 and 5987

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, 5987 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5982 and 5987 is 1.

GCF(5982,5987) = 1

GCF of 5982 and 5987

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

GCF of:
and

Greatest Common Factor of 5982 and 5987

GCF of 5982 and 5987 is 1

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 5987


5987 5987
1

Prime factors of 5987 are 5987. Prime factorization of 5987 in exponential form is:

5987 = 59871

∴ So by taking common prime factors GCF of 5982 and 5987 is 1

Greatest Common Factor of 5982 and 5987 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 5987

List of positive integer factors of 5987 that divides 5987 without a remainder.

1,5987

Greatest Common Factor

We found the factors and prime factorization of 5982 and 5987. The biggest common factor number is the GCF number.
So the greatest common factor 5982 and 5987 is 1.

Also check out the Least Common Multiple of 5982 and 5987

Properties of GCF 5982 and 5987

(i) The GCF of 5982 and 5987 is associative

GCF of 5982 and 5987 = GCF of 5987 and 5982

Related Greatest Common Factor of 5982

Related Greatest Common Factor of 5987

Frequently Asked Questions on GCF of 5982 and 5987

1. What is the GCF of 5982 and 5987?

Answer: GCF of 5982 and 5987 is 1.

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 5987?

Answer: Factors of 5987 are 1, 5987. There are 2 integers that are factors of 5987. The greatest factor of 5987 is 5987.

4. How to Find the GCF of 5982 and 5987?

Answer:

Greatest Common Factor of 5982 and 5987 = 1

Step 1: Find the prime factorization of 5982

5982 = 2 x 3 x 997

Step 2: Find the prime factorization of 5987

5987 = 5987

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 5982 and 5987 is 1