Greatest Common Factor of 5957 and 5961

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 5957, 5961 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5957 and 5961 is 1.

GCF(5957,5961) = 1

GCF of 5957 and 5961

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

GCF of:
and

Greatest Common Factor of 5957 and 5961

GCF of 5957 and 5961 is 1

Prime Factorization of 5957


7 5957
23 851
37 37
1

Prime factors of 5957 are 7,23,37. Prime factorization of 5957 in exponential form is:

5957 = 71×231×371

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

∴ So by taking common prime factors GCF of 5957 and 5961 is 1

Greatest Common Factor of 5957 and 5961 by matching factors method

Factors of 5957

List of positive integer factors of 5957 that divides 5957 without a remainder.

1,7,23,37,161,259,851,5957

Factors of 5961

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

1,3,1987,5961

Greatest Common Factor

We found the factors and prime factorization of 5957 and 5961. The biggest common factor number is the GCF number.
So the greatest common factor 5957 and 5961 is 1.

Also check out the Least Common Multiple of 5957 and 5961

Properties of GCF 5957 and 5961

(i) The GCF of 5957 and 5961 is associative

GCF of 5957 and 5961 = GCF of 5961 and 5957

Related Greatest Common Factor of 5957

Related Greatest Common Factor of 5961

Frequently Asked Questions on GCF of 5957 and 5961

1. What is the GCF of 5957 and 5961?

Answer: GCF of 5957 and 5961 is 1.

2. What are the Factors of 5957?

Answer: Factors of 5957 are 1, 7, 23, 37, 161, 259, 851, 5957. There are 8 integers that are factors of 5957. The greatest factor of 5957 is 5957.

3. 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.

4. How to Find the GCF of 5957 and 5961?

Answer:

Greatest Common Factor of 5957 and 5961 = 1

Step 1: Find the prime factorization of 5957

5957 = 7 x 23 x 37

Step 2: Find the prime factorization of 5961

5961 = 3 x 1987

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 5957 and 5961 is 1