Greatest Common Factor of 9957 and 9963

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 9957, 9963 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9957 and 9963 is 3.

GCF(9957,9963) = 3

GCF of 9957 and 9963

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

GCF of:
and

Greatest Common Factor of 9957 and 9963

GCF of 9957 and 9963 is 3

Prime Factorization of 9957


3 9957
3319 3319
1

Prime factors of 9957 are 3,3319. Prime factorization of 9957 in exponential form is:

9957 = 31×33191

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

∴ So by taking common prime factors GCF of 9957 and 9963 is 3

Greatest Common Factor of 9957 and 9963 by matching factors method

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1,3,3319,9957

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

Greatest Common Factor

We found the factors and prime factorization of 9957 and 9963. The biggest common factor number is the GCF number.
So the greatest common factor 9957 and 9963 is 3.

Also check out the Least Common Multiple of 9957 and 9963

Properties of GCF 9957 and 9963

(i) The GCF of 9957 and 9963 is associative

GCF of 9957 and 9963 = GCF of 9963 and 9957

Related Greatest Common Factor of 9957

Related Greatest Common Factor of 9963

Frequently Asked Questions on GCF of 9957 and 9963

1. What is the GCF of 9957 and 9963?

Answer: GCF of 9957 and 9963 is 3.

2. What are the Factors of 9957?

Answer: Factors of 9957 are 1, 3, 3319, 9957. There are 4 integers that are factors of 9957. The greatest factor of 9957 is 9957.

3. 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.

4. How to Find the GCF of 9957 and 9963?

Answer:

Greatest Common Factor of 9957 and 9963 = 3

Step 1: Find the prime factorization of 9957

9957 = 3 x 3319

Step 2: Find the prime factorization of 9963

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

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 9957 and 9963 is 3