Greatest Common Factor of 9918 and 9922

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 9918, 9922 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9918 and 9922 is 2.

GCF(9918,9922) = 2

GCF of 9918 and 9922

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

GCF of:
and

Greatest Common Factor of 9918 and 9922

GCF of 9918 and 9922 is 2

Prime Factorization of 9918


2 9918
3 4959
3 1653
19 551
29 29
1

Prime factors of 9918 are 2,3,19,29. Prime factorization of 9918 in exponential form is:

9918 = 21×32×191×291

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

∴ So by taking common prime factors GCF of 9918 and 9922 is 2

Greatest Common Factor of 9918 and 9922 by matching factors method

Factors of 9918

List of positive integer factors of 9918 that divides 9918 without a remainder.

1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918

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

Greatest Common Factor

We found the factors and prime factorization of 9918 and 9922. The biggest common factor number is the GCF number.
So the greatest common factor 9918 and 9922 is 2.

Also check out the Least Common Multiple of 9918 and 9922

Properties of GCF 9918 and 9922

(i) The GCF of 9918 and 9922 is associative

GCF of 9918 and 9922 = GCF of 9922 and 9918

Related Greatest Common Factor of 9918

Related Greatest Common Factor of 9922

Frequently Asked Questions on GCF of 9918 and 9922

1. What is the GCF of 9918 and 9922?

Answer: GCF of 9918 and 9922 is 2.

2. What are the Factors of 9918?

Answer: Factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918. There are 24 integers that are factors of 9918. The greatest factor of 9918 is 9918.

3. 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.

4. How to Find the GCF of 9918 and 9922?

Answer:

Greatest Common Factor of 9918 and 9922 = 2

Step 1: Find the prime factorization of 9918

9918 = 2 x 3 x 3 x 19 x 29

Step 2: Find the prime factorization of 9922

9922 = 2 x 11 x 11 x 41

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 9918 and 9922 is 2