Greatest Common Factor of 5989 and 5995

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 5989, 5995 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5989 and 5995 is 1.

GCF(5989,5995) = 1

GCF of 5989 and 5995

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

GCF of:
and

Greatest Common Factor of 5989 and 5995

GCF of 5989 and 5995 is 1

Prime Factorization of 5989


53 5989
113 113
1

Prime factors of 5989 are 53,113. Prime factorization of 5989 in exponential form is:

5989 = 531×1131

Prime Factorization of 5995


5 5995
11 1199
109 109
1

Prime factors of 5995 are 5,11,109. Prime factorization of 5995 in exponential form is:

5995 = 51×111×1091

∴ So by taking common prime factors GCF of 5989 and 5995 is 1

Greatest Common Factor of 5989 and 5995 by matching factors method

Factors of 5989

List of positive integer factors of 5989 that divides 5989 without a remainder.

1,53,113,5989

Factors of 5995

List of positive integer factors of 5995 that divides 5995 without a remainder.

1,5,11,55,109,545,1199,5995

Greatest Common Factor

We found the factors and prime factorization of 5989 and 5995. The biggest common factor number is the GCF number.
So the greatest common factor 5989 and 5995 is 1.

Also check out the Least Common Multiple of 5989 and 5995

Properties of GCF 5989 and 5995

(i) The GCF of 5989 and 5995 is associative

GCF of 5989 and 5995 = GCF of 5995 and 5989

Related Greatest Common Factor of 5989

Related Greatest Common Factor of 5995

Frequently Asked Questions on GCF of 5989 and 5995

1. What is the GCF of 5989 and 5995?

Answer: GCF of 5989 and 5995 is 1.

2. What are the Factors of 5989?

Answer: Factors of 5989 are 1, 53, 113, 5989. There are 4 integers that are factors of 5989. The greatest factor of 5989 is 5989.

3. What are the Factors of 5995?

Answer: Factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995. There are 8 integers that are factors of 5995. The greatest factor of 5995 is 5995.

4. How to Find the GCF of 5989 and 5995?

Answer:

Greatest Common Factor of 5989 and 5995 = 1

Step 1: Find the prime factorization of 5989

5989 = 53 x 113

Step 2: Find the prime factorization of 5995

5995 = 5 x 11 x 109

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5989 and 5995 is 1