Greatest Common Factor of 9963 and 9969

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 9963, 9969 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9963 and 9969 is 3.

GCF(9963,9969) = 3

GCF of 9963 and 9969

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

GCF of:
and

Greatest Common Factor of 9963 and 9969

GCF of 9963 and 9969 is 3

Prime Factorization of 9963


3 9963
3 3321
3 1107
3 369
3 123
41 41
1

Prime factors of 9963 are 3,41. Prime factorization of 9963 in exponential form is:

9963 = 35×411

Prime Factorization of 9969


3 9969
3323 3323
1

Prime factors of 9969 are 3,3323. Prime factorization of 9969 in exponential form is:

9969 = 31×33231

∴ So by taking common prime factors GCF of 9963 and 9969 is 3

Greatest Common Factor of 9963 and 9969 by matching factors method

Factors of 9963

List of positive integer factors of 9963 that divides 9963 without a remainder.

1,3,9,27,41,81,123,243,369,1107,3321,9963

Factors of 9969

List of positive integer factors of 9969 that divides 9969 without a remainder.

1,3,3323,9969

Greatest Common Factor

We found the factors and prime factorization of 9963 and 9969. The biggest common factor number is the GCF number.
So the greatest common factor 9963 and 9969 is 3.

Also check out the Least Common Multiple of 9963 and 9969

Properties of GCF 9963 and 9969

(i) The GCF of 9963 and 9969 is associative

GCF of 9963 and 9969 = GCF of 9969 and 9963

Related Greatest Common Factor of 9963

Related Greatest Common Factor of 9969

Frequently Asked Questions on GCF of 9963 and 9969

1. What is the GCF of 9963 and 9969?

Answer: GCF of 9963 and 9969 is 3.

2. What are the Factors of 9963?

Answer: Factors of 9963 are 1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963. There are 12 integers that are factors of 9963. The greatest factor of 9963 is 9963.

3. What are the Factors of 9969?

Answer: Factors of 9969 are 1, 3, 3323, 9969. There are 4 integers that are factors of 9969. The greatest factor of 9969 is 9969.

4. How to Find the GCF of 9963 and 9969?

Answer:

Greatest Common Factor of 9963 and 9969 = 3

Step 1: Find the prime factorization of 9963

9963 = 3 x 3 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 9969

9969 = 3 x 3323

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9963 and 9969 is 3