Greatest Common Factor of 5988 and 5996

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 5988, 5996 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5988 and 5996 is 4.

GCF(5988,5996) = 4

GCF of 5988 and 5996

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

GCF of:
and

Greatest Common Factor of 5988 and 5996

GCF of 5988 and 5996 is 4

Prime Factorization of 5988


2 5988
2 2994
3 1497
499 499
1

Prime factors of 5988 are 2,3,499. Prime factorization of 5988 in exponential form is:

5988 = 22×31×4991

Prime Factorization of 5996


2 5996
2 2998
1499 1499
1

Prime factors of 5996 are 2,1499. Prime factorization of 5996 in exponential form is:

5996 = 22×14991

∴ So by taking common prime factors GCF of 5988 and 5996 is 4

Greatest Common Factor of 5988 and 5996 by matching factors method

Factors of 5988

List of positive integer factors of 5988 that divides 5988 without a remainder.

1,2,3,4,6,12,499,998,1497,1996,2994,5988

Factors of 5996

List of positive integer factors of 5996 that divides 5996 without a remainder.

1,2,4,1499,2998,5996

Greatest Common Factor

We found the factors and prime factorization of 5988 and 5996. The biggest common factor number is the GCF number.
So the greatest common factor 5988 and 5996 is 4.

Also check out the Least Common Multiple of 5988 and 5996

Properties of GCF 5988 and 5996

(i) The GCF of 5988 and 5996 is associative

GCF of 5988 and 5996 = GCF of 5996 and 5988

Related Greatest Common Factor of 5988

Related Greatest Common Factor of 5996

Frequently Asked Questions on GCF of 5988 and 5996

1. What is the GCF of 5988 and 5996?

Answer: GCF of 5988 and 5996 is 4.

2. What are the Factors of 5988?

Answer: Factors of 5988 are 1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996, 2994, 5988. There are 12 integers that are factors of 5988. The greatest factor of 5988 is 5988.

3. What are the Factors of 5996?

Answer: Factors of 5996 are 1, 2, 4, 1499, 2998, 5996. There are 6 integers that are factors of 5996. The greatest factor of 5996 is 5996.

4. How to Find the GCF of 5988 and 5996?

Answer:

Greatest Common Factor of 5988 and 5996 = 4

Step 1: Find the prime factorization of 5988

5988 = 2 x 2 x 3 x 499

Step 2: Find the prime factorization of 5996

5996 = 2 x 2 x 1499

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5988 and 5996 is 4