Greatest Common Factor of 5980 and 5982

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 5980, 5982 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5980 and 5982 is 2.

GCF(5980,5982) = 2

GCF of 5980 and 5982

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

GCF of:
and

Greatest Common Factor of 5980 and 5982

GCF of 5980 and 5982 is 2

Prime Factorization of 5980


2 5980
2 2990
5 1495
13 299
23 23
1

Prime factors of 5980 are 2,5,13,23. Prime factorization of 5980 in exponential form is:

5980 = 22×51×131×231

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

∴ So by taking common prime factors GCF of 5980 and 5982 is 2

Greatest Common Factor of 5980 and 5982 by matching factors method

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980

Factors of 5982

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

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

Greatest Common Factor

We found the factors and prime factorization of 5980 and 5982. The biggest common factor number is the GCF number.
So the greatest common factor 5980 and 5982 is 2.

Also check out the Least Common Multiple of 5980 and 5982

Properties of GCF 5980 and 5982

(i) The GCF of 5980 and 5982 is associative

GCF of 5980 and 5982 = GCF of 5982 and 5980

Related Greatest Common Factor of 5980

Related Greatest Common Factor of 5982

Frequently Asked Questions on GCF of 5980 and 5982

1. What is the GCF of 5980 and 5982?

Answer: GCF of 5980 and 5982 is 2.

2. What are the Factors of 5980?

Answer: Factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980. There are 24 integers that are factors of 5980. The greatest factor of 5980 is 5980.

3. 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.

4. How to Find the GCF of 5980 and 5982?

Answer:

Greatest Common Factor of 5980 and 5982 = 2

Step 1: Find the prime factorization of 5980

5980 = 2 x 2 x 5 x 13 x 23

Step 2: Find the prime factorization of 5982

5982 = 2 x 3 x 997

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 5980 and 5982 is 2