Greatest Common Factor of 5973 and 5979

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 5973, 5979 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5973 and 5979 is 3.

GCF(5973,5979) = 3

GCF of 5973 and 5979

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

GCF of:
and

Greatest Common Factor of 5973 and 5979

GCF of 5973 and 5979 is 3

Prime Factorization of 5973


3 5973
11 1991
181 181
1

Prime factors of 5973 are 3,11,181. Prime factorization of 5973 in exponential form is:

5973 = 31×111×1811

Prime Factorization of 5979


3 5979
1993 1993
1

Prime factors of 5979 are 3,1993. Prime factorization of 5979 in exponential form is:

5979 = 31×19931

∴ So by taking common prime factors GCF of 5973 and 5979 is 3

Greatest Common Factor of 5973 and 5979 by matching factors method

Factors of 5973

List of positive integer factors of 5973 that divides 5973 without a remainder.

1,3,11,33,181,543,1991,5973

Factors of 5979

List of positive integer factors of 5979 that divides 5979 without a remainder.

1,3,1993,5979

Greatest Common Factor

We found the factors and prime factorization of 5973 and 5979. The biggest common factor number is the GCF number.
So the greatest common factor 5973 and 5979 is 3.

Also check out the Least Common Multiple of 5973 and 5979

Properties of GCF 5973 and 5979

(i) The GCF of 5973 and 5979 is associative

GCF of 5973 and 5979 = GCF of 5979 and 5973

Related Greatest Common Factor of 5973

Related Greatest Common Factor of 5979

Frequently Asked Questions on GCF of 5973 and 5979

1. What is the GCF of 5973 and 5979?

Answer: GCF of 5973 and 5979 is 3.

2. What are the Factors of 5973?

Answer: Factors of 5973 are 1, 3, 11, 33, 181, 543, 1991, 5973. There are 8 integers that are factors of 5973. The greatest factor of 5973 is 5973.

3. What are the Factors of 5979?

Answer: Factors of 5979 are 1, 3, 1993, 5979. There are 4 integers that are factors of 5979. The greatest factor of 5979 is 5979.

4. How to Find the GCF of 5973 and 5979?

Answer:

Greatest Common Factor of 5973 and 5979 = 3

Step 1: Find the prime factorization of 5973

5973 = 3 x 11 x 181

Step 2: Find the prime factorization of 5979

5979 = 3 x 1993

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5973 and 5979 is 3