Greatest Common Factor of 5958 and 5962

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 5958, 5962 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5958 and 5962 is 2.

GCF(5958,5962) = 2

GCF of 5958 and 5962

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

GCF of:
and

Greatest Common Factor of 5958 and 5962

GCF of 5958 and 5962 is 2

Prime Factorization of 5958


2 5958
3 2979
3 993
331 331
1

Prime factors of 5958 are 2,3,331. Prime factorization of 5958 in exponential form is:

5958 = 21×32×3311

Prime Factorization of 5962


2 5962
11 2981
271 271
1

Prime factors of 5962 are 2,11,271. Prime factorization of 5962 in exponential form is:

5962 = 21×111×2711

∴ So by taking common prime factors GCF of 5958 and 5962 is 2

Greatest Common Factor of 5958 and 5962 by matching factors method

Factors of 5958

List of positive integer factors of 5958 that divides 5958 without a remainder.

1,2,3,6,9,18,331,662,993,1986,2979,5958

Factors of 5962

List of positive integer factors of 5962 that divides 5962 without a remainder.

1,2,11,22,271,542,2981,5962

Greatest Common Factor

We found the factors and prime factorization of 5958 and 5962. The biggest common factor number is the GCF number.
So the greatest common factor 5958 and 5962 is 2.

Also check out the Least Common Multiple of 5958 and 5962

Properties of GCF 5958 and 5962

(i) The GCF of 5958 and 5962 is associative

GCF of 5958 and 5962 = GCF of 5962 and 5958

Related Greatest Common Factor of 5958

Related Greatest Common Factor of 5962

Frequently Asked Questions on GCF of 5958 and 5962

1. What is the GCF of 5958 and 5962?

Answer: GCF of 5958 and 5962 is 2.

2. What are the Factors of 5958?

Answer: Factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958. There are 12 integers that are factors of 5958. The greatest factor of 5958 is 5958.

3. What are the Factors of 5962?

Answer: Factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962. There are 8 integers that are factors of 5962. The greatest factor of 5962 is 5962.

4. How to Find the GCF of 5958 and 5962?

Answer:

Greatest Common Factor of 5958 and 5962 = 2

Step 1: Find the prime factorization of 5958

5958 = 2 x 3 x 3 x 331

Step 2: Find the prime factorization of 5962

5962 = 2 x 11 x 271

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5958 and 5962 is 2