Greatest Common Factor of 9914 and 9918

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 9914, 9918 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9914 and 9918 is 2.

GCF(9914,9918) = 2

GCF of 9914 and 9918

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

GCF of:
and

Greatest Common Factor of 9914 and 9918

GCF of 9914 and 9918 is 2

Prime Factorization of 9914


2 9914
4957 4957
1

Prime factors of 9914 are 2,4957. Prime factorization of 9914 in exponential form is:

9914 = 21×49571

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

∴ So by taking common prime factors GCF of 9914 and 9918 is 2

Greatest Common Factor of 9914 and 9918 by matching factors method

Factors of 9914

List of positive integer factors of 9914 that divides 9914 without a remainder.

1,2,4957,9914

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

Greatest Common Factor

We found the factors and prime factorization of 9914 and 9918. The biggest common factor number is the GCF number.
So the greatest common factor 9914 and 9918 is 2.

Also check out the Least Common Multiple of 9914 and 9918

Properties of GCF 9914 and 9918

(i) The GCF of 9914 and 9918 is associative

GCF of 9914 and 9918 = GCF of 9918 and 9914

Related Greatest Common Factor of 9914

Related Greatest Common Factor of 9918

Frequently Asked Questions on GCF of 9914 and 9918

1. What is the GCF of 9914 and 9918?

Answer: GCF of 9914 and 9918 is 2.

2. What are the Factors of 9914?

Answer: Factors of 9914 are 1, 2, 4957, 9914. There are 4 integers that are factors of 9914. The greatest factor of 9914 is 9914.

3. 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.

4. How to Find the GCF of 9914 and 9918?

Answer:

Greatest Common Factor of 9914 and 9918 = 2

Step 1: Find the prime factorization of 9914

9914 = 2 x 4957

Step 2: Find the prime factorization of 9918

9918 = 2 x 3 x 3 x 19 x 29

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 9914 and 9918 is 2