Greatest Common Factor of 5986 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 5986, 5994 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5986 and 5994 is 2.

GCF(5986,5994) = 2

GCF of 5986 and 5994

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

GCF of:
and

Greatest Common Factor of 5986 and 5994

GCF of 5986 and 5994 is 2

Prime Factorization of 5986


2 5986
41 2993
73 73
1

Prime factors of 5986 are 2,41,73. Prime factorization of 5986 in exponential form is:

5986 = 21×411×731

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 5986 and 5994 is 2

Greatest Common Factor of 5986 and 5994 by matching factors method

Factors of 5986

List of positive integer factors of 5986 that divides 5986 without a remainder.

1,2,41,73,82,146,2993,5986

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 5986 and 5994. The biggest common factor number is the GCF number.
So the greatest common factor 5986 and 5994 is 2.

Also check out the Least Common Multiple of 5986 and 5994

Properties of GCF 5986 and 5994

(i) The GCF of 5986 and 5994 is associative

GCF of 5986 and 5994 = GCF of 5994 and 5986

Related Greatest Common Factor of 5986

Related Greatest Common Factor of 5994

Frequently Asked Questions on GCF of 5986 and 5994

1. What is the GCF of 5986 and 5994?

Answer: GCF of 5986 and 5994 is 2.

2. What are the Factors of 5986?

Answer: Factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986. There are 8 integers that are factors of 5986. The greatest factor of 5986 is 5986.

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 5986 and 5994?

Answer:

Greatest Common Factor of 5986 and 5994 = 2

Step 1: Find the prime factorization of 5986

5986 = 2 x 41 x 73

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 5986 and 5994 is 2