Greatest Common Factor of 9639 and 9645

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 9639, 9645 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9639 and 9645 is 3.

GCF(9639,9645) = 3

GCF of 9639 and 9645

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

GCF of:
and

Greatest Common Factor of 9639 and 9645

GCF of 9639 and 9645 is 3

Prime Factorization of 9639


3 9639
3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 9639 are 3,7,17. Prime factorization of 9639 in exponential form is:

9639 = 34×71×171

Prime Factorization of 9645


3 9645
5 3215
643 643
1

Prime factors of 9645 are 3,5,643. Prime factorization of 9645 in exponential form is:

9645 = 31×51×6431

∴ So by taking common prime factors GCF of 9639 and 9645 is 3

Greatest Common Factor of 9639 and 9645 by matching factors method

Factors of 9639

List of positive integer factors of 9639 that divides 9639 without a remainder.

1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639

Factors of 9645

List of positive integer factors of 9645 that divides 9645 without a remainder.

1,3,5,15,643,1929,3215,9645

Greatest Common Factor

We found the factors and prime factorization of 9639 and 9645. The biggest common factor number is the GCF number.
So the greatest common factor 9639 and 9645 is 3.

Also check out the Least Common Multiple of 9639 and 9645

Properties of GCF 9639 and 9645

(i) The GCF of 9639 and 9645 is associative

GCF of 9639 and 9645 = GCF of 9645 and 9639

Related Greatest Common Factor of 9639

Related Greatest Common Factor of 9645

Frequently Asked Questions on GCF of 9639 and 9645

1. What is the GCF of 9639 and 9645?

Answer: GCF of 9639 and 9645 is 3.

2. What are the Factors of 9639?

Answer: Factors of 9639 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639. There are 20 integers that are factors of 9639. The greatest factor of 9639 is 9639.

3. What are the Factors of 9645?

Answer: Factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645. There are 8 integers that are factors of 9645. The greatest factor of 9645 is 9645.

4. How to Find the GCF of 9639 and 9645?

Answer:

Greatest Common Factor of 9639 and 9645 = 3

Step 1: Find the prime factorization of 9639

9639 = 3 x 3 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 9645

9645 = 3 x 5 x 643

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 9639 and 9645 is 3