Greatest Common Factor of 9675 and 9681

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 9675, 9681 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9675 and 9681 is 3.

GCF(9675,9681) = 3

GCF of 9675 and 9681

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

GCF of:
and

Greatest Common Factor of 9675 and 9681

GCF of 9675 and 9681 is 3

Prime Factorization of 9675


3 9675
3 3225
5 1075
5 215
43 43
1

Prime factors of 9675 are 3,5,43. Prime factorization of 9675 in exponential form is:

9675 = 32×52×431

Prime Factorization of 9681


3 9681
7 3227
461 461
1

Prime factors of 9681 are 3,7,461. Prime factorization of 9681 in exponential form is:

9681 = 31×71×4611

∴ So by taking common prime factors GCF of 9675 and 9681 is 3

Greatest Common Factor of 9675 and 9681 by matching factors method

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675

Factors of 9681

List of positive integer factors of 9681 that divides 9681 without a remainder.

1,3,7,21,461,1383,3227,9681

Greatest Common Factor

We found the factors and prime factorization of 9675 and 9681. The biggest common factor number is the GCF number.
So the greatest common factor 9675 and 9681 is 3.

Also check out the Least Common Multiple of 9675 and 9681

Properties of GCF 9675 and 9681

(i) The GCF of 9675 and 9681 is associative

GCF of 9675 and 9681 = GCF of 9681 and 9675

Related Greatest Common Factor of 9675

Related Greatest Common Factor of 9681

Frequently Asked Questions on GCF of 9675 and 9681

1. What is the GCF of 9675 and 9681?

Answer: GCF of 9675 and 9681 is 3.

2. What are the Factors of 9675?

Answer: Factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675. There are 18 integers that are factors of 9675. The greatest factor of 9675 is 9675.

3. What are the Factors of 9681?

Answer: Factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681. There are 8 integers that are factors of 9681. The greatest factor of 9681 is 9681.

4. How to Find the GCF of 9675 and 9681?

Answer:

Greatest Common Factor of 9675 and 9681 = 3

Step 1: Find the prime factorization of 9675

9675 = 3 x 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 9681

9681 = 3 x 7 x 461

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 9675 and 9681 is 3