Greatest Common Factor of 5989 and 5997

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, 5997 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5989 and 5997 is 1.

GCF(5989,5997) = 1

GCF of 5989 and 5997

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

GCF of:
and

Greatest Common Factor of 5989 and 5997

GCF of 5989 and 5997 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 5997


3 5997
1999 1999
1

Prime factors of 5997 are 3,1999. Prime factorization of 5997 in exponential form is:

5997 = 31×19991

∴ So by taking common prime factors GCF of 5989 and 5997 is 1

Greatest Common Factor of 5989 and 5997 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 5997

List of positive integer factors of 5997 that divides 5997 without a remainder.

1,3,1999,5997

Greatest Common Factor

We found the factors and prime factorization of 5989 and 5997. The biggest common factor number is the GCF number.
So the greatest common factor 5989 and 5997 is 1.

Also check out the Least Common Multiple of 5989 and 5997

Properties of GCF 5989 and 5997

(i) The GCF of 5989 and 5997 is associative

GCF of 5989 and 5997 = GCF of 5997 and 5989

Related Greatest Common Factor of 5989

Related Greatest Common Factor of 5997

Frequently Asked Questions on GCF of 5989 and 5997

1. What is the GCF of 5989 and 5997?

Answer: GCF of 5989 and 5997 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 5997?

Answer: Factors of 5997 are 1, 3, 1999, 5997. There are 4 integers that are factors of 5997. The greatest factor of 5997 is 5997.

4. How to Find the GCF of 5989 and 5997?

Answer:

Greatest Common Factor of 5989 and 5997 = 1

Step 1: Find the prime factorization of 5989

5989 = 53 x 113

Step 2: Find the prime factorization of 5997

5997 = 3 x 1999

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 5997 is 1