Greatest Common Factor of 5992 and 5999

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, 5999 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5992 and 5999 is 7.

GCF(5992,5999) = 7

GCF of 5992 and 5999

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

GCF of:
and

Greatest Common Factor of 5992 and 5999

GCF of 5992 and 5999 is 7

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 5999


7 5999
857 857
1

Prime factors of 5999 are 7,857. Prime factorization of 5999 in exponential form is:

5999 = 71×8571

∴ So by taking common prime factors GCF of 5992 and 5999 is 7

Greatest Common Factor of 5992 and 5999 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 5999

List of positive integer factors of 5999 that divides 5999 without a remainder.

1,7,857,5999

Greatest Common Factor

We found the factors and prime factorization of 5992 and 5999. The biggest common factor number is the GCF number.
So the greatest common factor 5992 and 5999 is 7.

Also check out the Least Common Multiple of 5992 and 5999

Properties of GCF 5992 and 5999

(i) The GCF of 5992 and 5999 is associative

GCF of 5992 and 5999 = GCF of 5999 and 5992

Related Greatest Common Factor of 5992

Related Greatest Common Factor of 5999

Frequently Asked Questions on GCF of 5992 and 5999

1. What is the GCF of 5992 and 5999?

Answer: GCF of 5992 and 5999 is 7.

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 5999?

Answer: Factors of 5999 are 1, 7, 857, 5999. There are 4 integers that are factors of 5999. The greatest factor of 5999 is 5999.

4. How to Find the GCF of 5992 and 5999?

Answer:

Greatest Common Factor of 5992 and 5999 = 7

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 5999

5999 = 7 x 857

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5992 and 5999 is 7