Greatest Common Factor of 5992 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 5992, 5997 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5992 and 5997 is 1.

GCF(5992,5997) = 1

GCF of 5992 and 5997

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

GCF of:
and

Greatest Common Factor of 5992 and 5997

GCF of 5992 and 5997 is 1

Prime Factorization of 5992


2 5992
2 2996
2 1498
7 749
107 107
1

Prime factors of 5992 are 2,7,107. Prime factorization of 5992 in exponential form is:

5992 = 23×71×1071

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 5992 and 5997 is 1

Greatest Common Factor of 5992 and 5997 by matching factors method

Factors of 5992

List of positive integer factors of 5992 that divides 5992 without a remainder.

1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992

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 5992 and 5997. The biggest common factor number is the GCF number.
So the greatest common factor 5992 and 5997 is 1.

Also check out the Least Common Multiple of 5992 and 5997

Properties of GCF 5992 and 5997

(i) The GCF of 5992 and 5997 is associative

GCF of 5992 and 5997 = GCF of 5997 and 5992

Related Greatest Common Factor of 5992

Related Greatest Common Factor of 5997

Frequently Asked Questions on GCF of 5992 and 5997

1. What is the GCF of 5992 and 5997?

Answer: GCF of 5992 and 5997 is 1.

2. What are the Factors of 5992?

Answer: Factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992. There are 16 integers that are factors of 5992. The greatest factor of 5992 is 5992.

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 5992 and 5997?

Answer:

Greatest Common Factor of 5992 and 5997 = 1

Step 1: Find the prime factorization of 5992

5992 = 2 x 2 x 2 x 7 x 107

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 5992 and 5997 is 1