Greatest Common Factor of 9958 and 9962

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 9958, 9962 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9958 and 9962 is 2.

GCF(9958,9962) = 2

GCF of 9958 and 9962

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

GCF of:
and

Greatest Common Factor of 9958 and 9962

GCF of 9958 and 9962 is 2

Prime Factorization of 9958


2 9958
13 4979
383 383
1

Prime factors of 9958 are 2,13,383. Prime factorization of 9958 in exponential form is:

9958 = 21×131×3831

Prime Factorization of 9962


2 9962
17 4981
293 293
1

Prime factors of 9962 are 2,17,293. Prime factorization of 9962 in exponential form is:

9962 = 21×171×2931

∴ So by taking common prime factors GCF of 9958 and 9962 is 2

Greatest Common Factor of 9958 and 9962 by matching factors method

Factors of 9958

List of positive integer factors of 9958 that divides 9958 without a remainder.

1,2,13,26,383,766,4979,9958

Factors of 9962

List of positive integer factors of 9962 that divides 9962 without a remainder.

1,2,17,34,293,586,4981,9962

Greatest Common Factor

We found the factors and prime factorization of 9958 and 9962. The biggest common factor number is the GCF number.
So the greatest common factor 9958 and 9962 is 2.

Also check out the Least Common Multiple of 9958 and 9962

Properties of GCF 9958 and 9962

(i) The GCF of 9958 and 9962 is associative

GCF of 9958 and 9962 = GCF of 9962 and 9958

Related Greatest Common Factor of 9958

Related Greatest Common Factor of 9962

Frequently Asked Questions on GCF of 9958 and 9962

1. What is the GCF of 9958 and 9962?

Answer: GCF of 9958 and 9962 is 2.

2. What are the Factors of 9958?

Answer: Factors of 9958 are 1, 2, 13, 26, 383, 766, 4979, 9958. There are 8 integers that are factors of 9958. The greatest factor of 9958 is 9958.

3. What are the Factors of 9962?

Answer: Factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962. There are 8 integers that are factors of 9962. The greatest factor of 9962 is 9962.

4. How to Find the GCF of 9958 and 9962?

Answer:

Greatest Common Factor of 9958 and 9962 = 2

Step 1: Find the prime factorization of 9958

9958 = 2 x 13 x 383

Step 2: Find the prime factorization of 9962

9962 = 2 x 17 x 293

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 9958 and 9962 is 2