Greatest Common Factor of 9657 and 9663

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 9657, 9663 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9657 and 9663 is 3.

GCF(9657,9663) = 3

GCF of 9657 and 9663

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

GCF of:
and

Greatest Common Factor of 9657 and 9663

GCF of 9657 and 9663 is 3

Prime Factorization of 9657


3 9657
3 3219
29 1073
37 37
1

Prime factors of 9657 are 3,29,37. Prime factorization of 9657 in exponential form is:

9657 = 32×291×371

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

∴ So by taking common prime factors GCF of 9657 and 9663 is 3

Greatest Common Factor of 9657 and 9663 by matching factors method

Factors of 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1,3,9,29,37,87,111,261,333,1073,3219,9657

Factors of 9663

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

1,3,3221,9663

Greatest Common Factor

We found the factors and prime factorization of 9657 and 9663. The biggest common factor number is the GCF number.
So the greatest common factor 9657 and 9663 is 3.

Also check out the Least Common Multiple of 9657 and 9663

Properties of GCF 9657 and 9663

(i) The GCF of 9657 and 9663 is associative

GCF of 9657 and 9663 = GCF of 9663 and 9657

Related Greatest Common Factor of 9657

Related Greatest Common Factor of 9663

Frequently Asked Questions on GCF of 9657 and 9663

1. What is the GCF of 9657 and 9663?

Answer: GCF of 9657 and 9663 is 3.

2. What are the Factors of 9657?

Answer: Factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657. There are 12 integers that are factors of 9657. The greatest factor of 9657 is 9657.

3. 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.

4. How to Find the GCF of 9657 and 9663?

Answer:

Greatest Common Factor of 9657 and 9663 = 3

Step 1: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

Step 2: Find the prime factorization of 9663

9663 = 3 x 3221

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 9657 and 9663 is 3