Greatest Common Factor of 5961 and 5967

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 5961, 5967 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5961 and 5967 is 3.

GCF(5961,5967) = 3

GCF of 5961 and 5967

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

GCF of:
and

Greatest Common Factor of 5961 and 5967

GCF of 5961 and 5967 is 3

Prime Factorization of 5961


3 5961
1987 1987
1

Prime factors of 5961 are 3,1987. Prime factorization of 5961 in exponential form is:

5961 = 31×19871

Prime Factorization of 5967


3 5967
3 1989
3 663
13 221
17 17
1

Prime factors of 5967 are 3,13,17. Prime factorization of 5967 in exponential form is:

5967 = 33×131×171

∴ So by taking common prime factors GCF of 5961 and 5967 is 3

Greatest Common Factor of 5961 and 5967 by matching factors method

Factors of 5961

List of positive integer factors of 5961 that divides 5961 without a remainder.

1,3,1987,5961

Factors of 5967

List of positive integer factors of 5967 that divides 5967 without a remainder.

1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967

Greatest Common Factor

We found the factors and prime factorization of 5961 and 5967. The biggest common factor number is the GCF number.
So the greatest common factor 5961 and 5967 is 3.

Also check out the Least Common Multiple of 5961 and 5967

Properties of GCF 5961 and 5967

(i) The GCF of 5961 and 5967 is associative

GCF of 5961 and 5967 = GCF of 5967 and 5961

Related Greatest Common Factor of 5961

Related Greatest Common Factor of 5967

Frequently Asked Questions on GCF of 5961 and 5967

1. What is the GCF of 5961 and 5967?

Answer: GCF of 5961 and 5967 is 3.

2. What are the Factors of 5961?

Answer: Factors of 5961 are 1, 3, 1987, 5961. There are 4 integers that are factors of 5961. The greatest factor of 5961 is 5961.

3. What are the Factors of 5967?

Answer: Factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967. There are 16 integers that are factors of 5967. The greatest factor of 5967 is 5967.

4. How to Find the GCF of 5961 and 5967?

Answer:

Greatest Common Factor of 5961 and 5967 = 3

Step 1: Find the prime factorization of 5961

5961 = 3 x 1987

Step 2: Find the prime factorization of 5967

5967 = 3 x 3 x 3 x 13 x 17

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 5961 and 5967 is 3