Greatest Common Factor of 9916 and 9921

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, 9921 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9916 and 9921 is 1.

GCF(9916,9921) = 1

GCF of 9916 and 9921

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

GCF of:
and

Greatest Common Factor of 9916 and 9921

GCF of 9916 and 9921 is 1

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 9921


3 9921
3307 3307
1

Prime factors of 9921 are 3,3307. Prime factorization of 9921 in exponential form is:

9921 = 31×33071

∴ So by taking common prime factors GCF of 9916 and 9921 is 1

Greatest Common Factor of 9916 and 9921 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 9921

List of positive integer factors of 9921 that divides 9921 without a remainder.

1,3,3307,9921

Greatest Common Factor

We found the factors and prime factorization of 9916 and 9921. The biggest common factor number is the GCF number.
So the greatest common factor 9916 and 9921 is 1.

Also check out the Least Common Multiple of 9916 and 9921

Properties of GCF 9916 and 9921

(i) The GCF of 9916 and 9921 is associative

GCF of 9916 and 9921 = GCF of 9921 and 9916

Related Greatest Common Factor of 9916

Related Greatest Common Factor of 9921

Frequently Asked Questions on GCF of 9916 and 9921

1. What is the GCF of 9916 and 9921?

Answer: GCF of 9916 and 9921 is 1.

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 9921?

Answer: Factors of 9921 are 1, 3, 3307, 9921. There are 4 integers that are factors of 9921. The greatest factor of 9921 is 9921.

4. How to Find the GCF of 9916 and 9921?

Answer:

Greatest Common Factor of 9916 and 9921 = 1

Step 1: Find the prime factorization of 9916

9916 = 2 x 2 x 37 x 67

Step 2: Find the prime factorization of 9921

9921 = 3 x 3307

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9916 and 9921 is 1