Greatest Common Factor of 9916 and 9924

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 9916, 9924 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9916 and 9924 is 4.

GCF(9916,9924) = 4

GCF of 9916 and 9924

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

GCF of:
and

Greatest Common Factor of 9916 and 9924

GCF of 9916 and 9924 is 4

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

Prime Factorization of 9924


2 9924
2 4962
3 2481
827 827
1

Prime factors of 9924 are 2,3,827. Prime factorization of 9924 in exponential form is:

9924 = 22×31×8271

∴ So by taking common prime factors GCF of 9916 and 9924 is 4

Greatest Common Factor of 9916 and 9924 by matching factors method

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

Factors of 9924

List of positive integer factors of 9924 that divides 9924 without a remainder.

1,2,3,4,6,12,827,1654,2481,3308,4962,9924

Greatest Common Factor

We found the factors and prime factorization of 9916 and 9924. The biggest common factor number is the GCF number.
So the greatest common factor 9916 and 9924 is 4.

Also check out the Least Common Multiple of 9916 and 9924

Properties of GCF 9916 and 9924

(i) The GCF of 9916 and 9924 is associative

GCF of 9916 and 9924 = GCF of 9924 and 9916

Related Greatest Common Factor of 9916

Related Greatest Common Factor of 9924

Frequently Asked Questions on GCF of 9916 and 9924

1. What is the GCF of 9916 and 9924?

Answer: GCF of 9916 and 9924 is 4.

2. 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.

3. What are the Factors of 9924?

Answer: Factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924. There are 12 integers that are factors of 9924. The greatest factor of 9924 is 9924.

4. How to Find the GCF of 9916 and 9924?

Answer:

Greatest Common Factor of 9916 and 9924 = 4

Step 1: Find the prime factorization of 9916

9916 = 2 x 2 x 37 x 67

Step 2: Find the prime factorization of 9924

9924 = 2 x 2 x 3 x 827

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9916 and 9924 is 4