Greatest Common Factor of 5958 and 5966

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, 5966 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5958 and 5966 is 2.

GCF(5958,5966) = 2

GCF of 5958 and 5966

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

GCF of:
and

Greatest Common Factor of 5958 and 5966

GCF of 5958 and 5966 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 5966


2 5966
19 2983
157 157
1

Prime factors of 5966 are 2,19,157. Prime factorization of 5966 in exponential form is:

5966 = 21×191×1571

∴ So by taking common prime factors GCF of 5958 and 5966 is 2

Greatest Common Factor of 5958 and 5966 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 5966

List of positive integer factors of 5966 that divides 5966 without a remainder.

1,2,19,38,157,314,2983,5966

Greatest Common Factor

We found the factors and prime factorization of 5958 and 5966. The biggest common factor number is the GCF number.
So the greatest common factor 5958 and 5966 is 2.

Also check out the Least Common Multiple of 5958 and 5966

Properties of GCF 5958 and 5966

(i) The GCF of 5958 and 5966 is associative

GCF of 5958 and 5966 = GCF of 5966 and 5958

Related Greatest Common Factor of 5958

Related Greatest Common Factor of 5966

Frequently Asked Questions on GCF of 5958 and 5966

1. What is the GCF of 5958 and 5966?

Answer: GCF of 5958 and 5966 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 5966?

Answer: Factors of 5966 are 1, 2, 19, 38, 157, 314, 2983, 5966. There are 8 integers that are factors of 5966. The greatest factor of 5966 is 5966.

4. How to Find the GCF of 5958 and 5966?

Answer:

Greatest Common Factor of 5958 and 5966 = 2

Step 1: Find the prime factorization of 5958

5958 = 2 x 3 x 3 x 331

Step 2: Find the prime factorization of 5966

5966 = 2 x 19 x 157

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 5966 is 2