Greatest Common Factor of 9435 and 9441

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 9435, 9441 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9435 and 9441 is 3.

GCF(9435,9441) = 3

GCF of 9435 and 9441

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

GCF of:
and

Greatest Common Factor of 9435 and 9441

GCF of 9435 and 9441 is 3

Prime Factorization of 9435


3 9435
5 3145
17 629
37 37
1

Prime factors of 9435 are 3,5,17,37. Prime factorization of 9435 in exponential form is:

9435 = 31×51×171×371

Prime Factorization of 9441


3 9441
3 3147
1049 1049
1

Prime factors of 9441 are 3,1049. Prime factorization of 9441 in exponential form is:

9441 = 32×10491

∴ So by taking common prime factors GCF of 9435 and 9441 is 3

Greatest Common Factor of 9435 and 9441 by matching factors method

Factors of 9435

List of positive integer factors of 9435 that divides 9435 without a remainder.

1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435

Factors of 9441

List of positive integer factors of 9441 that divides 9441 without a remainder.

1,3,9,1049,3147,9441

Greatest Common Factor

We found the factors and prime factorization of 9435 and 9441. The biggest common factor number is the GCF number.
So the greatest common factor 9435 and 9441 is 3.

Also check out the Least Common Multiple of 9435 and 9441

Properties of GCF 9435 and 9441

(i) The GCF of 9435 and 9441 is associative

GCF of 9435 and 9441 = GCF of 9441 and 9435

Related Greatest Common Factor of 9435

Related Greatest Common Factor of 9441

Frequently Asked Questions on GCF of 9435 and 9441

1. What is the GCF of 9435 and 9441?

Answer: GCF of 9435 and 9441 is 3.

2. What are the Factors of 9435?

Answer: Factors of 9435 are 1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435. There are 16 integers that are factors of 9435. The greatest factor of 9435 is 9435.

3. What are the Factors of 9441?

Answer: Factors of 9441 are 1, 3, 9, 1049, 3147, 9441. There are 6 integers that are factors of 9441. The greatest factor of 9441 is 9441.

4. How to Find the GCF of 9435 and 9441?

Answer:

Greatest Common Factor of 9435 and 9441 = 3

Step 1: Find the prime factorization of 9435

9435 = 3 x 5 x 17 x 37

Step 2: Find the prime factorization of 9441

9441 = 3 x 3 x 1049

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 9435 and 9441 is 3