Greatest Common Factor of 9934 and 9938

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 9934, 9938 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9934 and 9938 is 2.

GCF(9934,9938) = 2

GCF of 9934 and 9938

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

GCF of:
and

Greatest Common Factor of 9934 and 9938

GCF of 9934 and 9938 is 2

Prime Factorization of 9934


2 9934
4967 4967
1

Prime factors of 9934 are 2,4967. Prime factorization of 9934 in exponential form is:

9934 = 21×49671

Prime Factorization of 9938


2 9938
4969 4969
1

Prime factors of 9938 are 2,4969. Prime factorization of 9938 in exponential form is:

9938 = 21×49691

∴ So by taking common prime factors GCF of 9934 and 9938 is 2

Greatest Common Factor of 9934 and 9938 by matching factors method

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1,2,4967,9934

Factors of 9938

List of positive integer factors of 9938 that divides 9938 without a remainder.

1,2,4969,9938

Greatest Common Factor

We found the factors and prime factorization of 9934 and 9938. The biggest common factor number is the GCF number.
So the greatest common factor 9934 and 9938 is 2.

Also check out the Least Common Multiple of 9934 and 9938

Properties of GCF 9934 and 9938

(i) The GCF of 9934 and 9938 is associative

GCF of 9934 and 9938 = GCF of 9938 and 9934

Related Greatest Common Factor of 9934

Related Greatest Common Factor of 9938

Frequently Asked Questions on GCF of 9934 and 9938

1. What is the GCF of 9934 and 9938?

Answer: GCF of 9934 and 9938 is 2.

2. What are the Factors of 9934?

Answer: Factors of 9934 are 1, 2, 4967, 9934. There are 4 integers that are factors of 9934. The greatest factor of 9934 is 9934.

3. What are the Factors of 9938?

Answer: Factors of 9938 are 1, 2, 4969, 9938. There are 4 integers that are factors of 9938. The greatest factor of 9938 is 9938.

4. How to Find the GCF of 9934 and 9938?

Answer:

Greatest Common Factor of 9934 and 9938 = 2

Step 1: Find the prime factorization of 9934

9934 = 2 x 4967

Step 2: Find the prime factorization of 9938

9938 = 2 x 4969

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 9934 and 9938 is 2