Greatest Common Factor of 9663 and 9669

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 9663, 9669 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9663 and 9669 is 3.

GCF(9663,9669) = 3

GCF of 9663 and 9669

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

GCF of:
and

Greatest Common Factor of 9663 and 9669

GCF of 9663 and 9669 is 3

Prime Factorization of 9663


3 9663
3221 3221
1

Prime factors of 9663 are 3,3221. Prime factorization of 9663 in exponential form is:

9663 = 31×32211

Prime Factorization of 9669


3 9669
11 3223
293 293
1

Prime factors of 9669 are 3,11,293. Prime factorization of 9669 in exponential form is:

9669 = 31×111×2931

∴ So by taking common prime factors GCF of 9663 and 9669 is 3

Greatest Common Factor of 9663 and 9669 by matching factors method

Factors of 9663

List of positive integer factors of 9663 that divides 9663 without a remainder.

1,3,3221,9663

Factors of 9669

List of positive integer factors of 9669 that divides 9669 without a remainder.

1,3,11,33,293,879,3223,9669

Greatest Common Factor

We found the factors and prime factorization of 9663 and 9669. The biggest common factor number is the GCF number.
So the greatest common factor 9663 and 9669 is 3.

Also check out the Least Common Multiple of 9663 and 9669

Properties of GCF 9663 and 9669

(i) The GCF of 9663 and 9669 is associative

GCF of 9663 and 9669 = GCF of 9669 and 9663

Related Greatest Common Factor of 9663

Related Greatest Common Factor of 9669

Frequently Asked Questions on GCF of 9663 and 9669

1. What is the GCF of 9663 and 9669?

Answer: GCF of 9663 and 9669 is 3.

2. What are the Factors of 9663?

Answer: Factors of 9663 are 1, 3, 3221, 9663. There are 4 integers that are factors of 9663. The greatest factor of 9663 is 9663.

3. What are the Factors of 9669?

Answer: Factors of 9669 are 1, 3, 11, 33, 293, 879, 3223, 9669. There are 8 integers that are factors of 9669. The greatest factor of 9669 is 9669.

4. How to Find the GCF of 9663 and 9669?

Answer:

Greatest Common Factor of 9663 and 9669 = 3

Step 1: Find the prime factorization of 9663

9663 = 3 x 3221

Step 2: Find the prime factorization of 9669

9669 = 3 x 11 x 293

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 9663 and 9669 is 3