Greatest Common Factor of 5990 and 5998

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 5990, 5998 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5990 and 5998 is 2.

GCF(5990,5998) = 2

GCF of 5990 and 5998

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

GCF of:
and

Greatest Common Factor of 5990 and 5998

GCF of 5990 and 5998 is 2

Prime Factorization of 5990


2 5990
5 2995
599 599
1

Prime factors of 5990 are 2,5,599. Prime factorization of 5990 in exponential form is:

5990 = 21×51×5991

Prime Factorization of 5998


2 5998
2999 2999
1

Prime factors of 5998 are 2,2999. Prime factorization of 5998 in exponential form is:

5998 = 21×29991

∴ So by taking common prime factors GCF of 5990 and 5998 is 2

Greatest Common Factor of 5990 and 5998 by matching factors method

Factors of 5990

List of positive integer factors of 5990 that divides 5990 without a remainder.

1,2,5,10,599,1198,2995,5990

Factors of 5998

List of positive integer factors of 5998 that divides 5998 without a remainder.

1,2,2999,5998

Greatest Common Factor

We found the factors and prime factorization of 5990 and 5998. The biggest common factor number is the GCF number.
So the greatest common factor 5990 and 5998 is 2.

Also check out the Least Common Multiple of 5990 and 5998

Properties of GCF 5990 and 5998

(i) The GCF of 5990 and 5998 is associative

GCF of 5990 and 5998 = GCF of 5998 and 5990

Related Greatest Common Factor of 5990

Related Greatest Common Factor of 5998

Frequently Asked Questions on GCF of 5990 and 5998

1. What is the GCF of 5990 and 5998?

Answer: GCF of 5990 and 5998 is 2.

2. What are the Factors of 5990?

Answer: Factors of 5990 are 1, 2, 5, 10, 599, 1198, 2995, 5990. There are 8 integers that are factors of 5990. The greatest factor of 5990 is 5990.

3. What are the Factors of 5998?

Answer: Factors of 5998 are 1, 2, 2999, 5998. There are 4 integers that are factors of 5998. The greatest factor of 5998 is 5998.

4. How to Find the GCF of 5990 and 5998?

Answer:

Greatest Common Factor of 5990 and 5998 = 2

Step 1: Find the prime factorization of 5990

5990 = 2 x 5 x 599

Step 2: Find the prime factorization of 5998

5998 = 2 x 2999

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 5990 and 5998 is 2