Greatest Common Factor of 9926 and 9934

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 9926, 9934 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9926 and 9934 is 2.

GCF(9926,9934) = 2

GCF of 9926 and 9934

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

GCF of:
and

Greatest Common Factor of 9926 and 9934

GCF of 9926 and 9934 is 2

Prime Factorization of 9926


2 9926
7 4963
709 709
1

Prime factors of 9926 are 2,7,709. Prime factorization of 9926 in exponential form is:

9926 = 21×71×7091

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

∴ So by taking common prime factors GCF of 9926 and 9934 is 2

Greatest Common Factor of 9926 and 9934 by matching factors method

Factors of 9926

List of positive integer factors of 9926 that divides 9926 without a remainder.

1,2,7,14,709,1418,4963,9926

Factors of 9934

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

1,2,4967,9934

Greatest Common Factor

We found the factors and prime factorization of 9926 and 9934. The biggest common factor number is the GCF number.
So the greatest common factor 9926 and 9934 is 2.

Also check out the Least Common Multiple of 9926 and 9934

Properties of GCF 9926 and 9934

(i) The GCF of 9926 and 9934 is associative

GCF of 9926 and 9934 = GCF of 9934 and 9926

Related Greatest Common Factor of 9926

Related Greatest Common Factor of 9934

Frequently Asked Questions on GCF of 9926 and 9934

1. What is the GCF of 9926 and 9934?

Answer: GCF of 9926 and 9934 is 2.

2. What are the Factors of 9926?

Answer: Factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926. There are 8 integers that are factors of 9926. The greatest factor of 9926 is 9926.

3. 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.

4. How to Find the GCF of 9926 and 9934?

Answer:

Greatest Common Factor of 9926 and 9934 = 2

Step 1: Find the prime factorization of 9926

9926 = 2 x 7 x 709

Step 2: Find the prime factorization of 9934

9934 = 2 x 4967

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 9926 and 9934 is 2