Greatest Common Factor of 9910 and 9914

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 9910, 9914 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9910 and 9914 is 2.

GCF(9910,9914) = 2

GCF of 9910 and 9914

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

GCF of:
and

Greatest Common Factor of 9910 and 9914

GCF of 9910 and 9914 is 2

Prime Factorization of 9910


2 9910
5 4955
991 991
1

Prime factors of 9910 are 2,5,991. Prime factorization of 9910 in exponential form is:

9910 = 21×51×9911

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

∴ So by taking common prime factors GCF of 9910 and 9914 is 2

Greatest Common Factor of 9910 and 9914 by matching factors method

Factors of 9910

List of positive integer factors of 9910 that divides 9910 without a remainder.

1,2,5,10,991,1982,4955,9910

Factors of 9914

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

1,2,4957,9914

Greatest Common Factor

We found the factors and prime factorization of 9910 and 9914. The biggest common factor number is the GCF number.
So the greatest common factor 9910 and 9914 is 2.

Also check out the Least Common Multiple of 9910 and 9914

Properties of GCF 9910 and 9914

(i) The GCF of 9910 and 9914 is associative

GCF of 9910 and 9914 = GCF of 9914 and 9910

Related Greatest Common Factor of 9910

Related Greatest Common Factor of 9914

Frequently Asked Questions on GCF of 9910 and 9914

1. What is the GCF of 9910 and 9914?

Answer: GCF of 9910 and 9914 is 2.

2. What are the Factors of 9910?

Answer: Factors of 9910 are 1, 2, 5, 10, 991, 1982, 4955, 9910. There are 8 integers that are factors of 9910. The greatest factor of 9910 is 9910.

3. 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.

4. How to Find the GCF of 9910 and 9914?

Answer:

Greatest Common Factor of 9910 and 9914 = 2

Step 1: Find the prime factorization of 9910

9910 = 2 x 5 x 991

Step 2: Find the prime factorization of 9914

9914 = 2 x 4957

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 9910 and 9914 is 2