Greatest Common Factor of 5990 and 5994

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, 5994 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5990 and 5994 is 2.

GCF(5990,5994) = 2

GCF of 5990 and 5994

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

GCF of:
and

Greatest Common Factor of 5990 and 5994

GCF of 5990 and 5994 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 5994


2 5994
3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 5994 are 2,3,37. Prime factorization of 5994 in exponential form is:

5994 = 21×34×371

∴ So by taking common prime factors GCF of 5990 and 5994 is 2

Greatest Common Factor of 5990 and 5994 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 5994

List of positive integer factors of 5994 that divides 5994 without a remainder.

1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994

Greatest Common Factor

We found the factors and prime factorization of 5990 and 5994. The biggest common factor number is the GCF number.
So the greatest common factor 5990 and 5994 is 2.

Also check out the Least Common Multiple of 5990 and 5994

Properties of GCF 5990 and 5994

(i) The GCF of 5990 and 5994 is associative

GCF of 5990 and 5994 = GCF of 5994 and 5990

Related Greatest Common Factor of 5990

Related Greatest Common Factor of 5994

Frequently Asked Questions on GCF of 5990 and 5994

1. What is the GCF of 5990 and 5994?

Answer: GCF of 5990 and 5994 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 5994?

Answer: Factors of 5994 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994. There are 20 integers that are factors of 5994. The greatest factor of 5994 is 5994.

4. How to Find the GCF of 5990 and 5994?

Answer:

Greatest Common Factor of 5990 and 5994 = 2

Step 1: Find the prime factorization of 5990

5990 = 2 x 5 x 599

Step 2: Find the prime factorization of 5994

5994 = 2 x 3 x 3 x 3 x 3 x 37

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 5994 is 2