Greatest Common Factor of 9922 and 9926

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 9922, 9926 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9922 and 9926 is 2.

GCF(9922,9926) = 2

GCF of 9922 and 9926

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

GCF of:
and

Greatest Common Factor of 9922 and 9926

GCF of 9922 and 9926 is 2

Prime Factorization of 9922


2 9922
11 4961
11 451
41 41
1

Prime factors of 9922 are 2,11,41. Prime factorization of 9922 in exponential form is:

9922 = 21×112×411

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

∴ So by taking common prime factors GCF of 9922 and 9926 is 2

Greatest Common Factor of 9922 and 9926 by matching factors method

Factors of 9922

List of positive integer factors of 9922 that divides 9922 without a remainder.

1,2,11,22,41,82,121,242,451,902,4961,9922

Factors of 9926

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

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

Greatest Common Factor

We found the factors and prime factorization of 9922 and 9926. The biggest common factor number is the GCF number.
So the greatest common factor 9922 and 9926 is 2.

Also check out the Least Common Multiple of 9922 and 9926

Properties of GCF 9922 and 9926

(i) The GCF of 9922 and 9926 is associative

GCF of 9922 and 9926 = GCF of 9926 and 9922

Related Greatest Common Factor of 9922

Related Greatest Common Factor of 9926

Frequently Asked Questions on GCF of 9922 and 9926

1. What is the GCF of 9922 and 9926?

Answer: GCF of 9922 and 9926 is 2.

2. What are the Factors of 9922?

Answer: Factors of 9922 are 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922. There are 12 integers that are factors of 9922. The greatest factor of 9922 is 9922.

3. 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.

4. How to Find the GCF of 9922 and 9926?

Answer:

Greatest Common Factor of 9922 and 9926 = 2

Step 1: Find the prime factorization of 9922

9922 = 2 x 11 x 11 x 41

Step 2: Find the prime factorization of 9926

9926 = 2 x 7 x 709

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 9922 and 9926 is 2