Greatest Common Factor of 9914 and 9916

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, 9916 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9914 and 9916 is 2.

GCF(9914,9916) = 2

GCF of 9914 and 9916

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

GCF of:
and

Greatest Common Factor of 9914 and 9916

GCF of 9914 and 9916 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 9916


2 9916
2 4958
37 2479
67 67
1

Prime factors of 9916 are 2,37,67. Prime factorization of 9916 in exponential form is:

9916 = 22×371×671

∴ So by taking common prime factors GCF of 9914 and 9916 is 2

Greatest Common Factor of 9914 and 9916 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 9916

List of positive integer factors of 9916 that divides 9916 without a remainder.

1,2,4,37,67,74,134,148,268,2479,4958,9916

Greatest Common Factor

We found the factors and prime factorization of 9914 and 9916. The biggest common factor number is the GCF number.
So the greatest common factor 9914 and 9916 is 2.

Also check out the Least Common Multiple of 9914 and 9916

Properties of GCF 9914 and 9916

(i) The GCF of 9914 and 9916 is associative

GCF of 9914 and 9916 = GCF of 9916 and 9914

Related Greatest Common Factor of 9914

Related Greatest Common Factor of 9916

Frequently Asked Questions on GCF of 9914 and 9916

1. What is the GCF of 9914 and 9916?

Answer: GCF of 9914 and 9916 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 9916?

Answer: Factors of 9916 are 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916. There are 12 integers that are factors of 9916. The greatest factor of 9916 is 9916.

4. How to Find the GCF of 9914 and 9916?

Answer:

Greatest Common Factor of 9914 and 9916 = 2

Step 1: Find the prime factorization of 9914

9914 = 2 x 4957

Step 2: Find the prime factorization of 9916

9916 = 2 x 2 x 37 x 67

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 9916 is 2