Greatest Common Factor of 9483 and 9489

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 9483, 9489 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9483 and 9489 is 3.

GCF(9483,9489) = 3

GCF of 9483 and 9489

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

GCF of:
and

Greatest Common Factor of 9483 and 9489

GCF of 9483 and 9489 is 3

Prime Factorization of 9483


3 9483
29 3161
109 109
1

Prime factors of 9483 are 3,29,109. Prime factorization of 9483 in exponential form is:

9483 = 31×291×1091

Prime Factorization of 9489


3 9489
3163 3163
1

Prime factors of 9489 are 3,3163. Prime factorization of 9489 in exponential form is:

9489 = 31×31631

∴ So by taking common prime factors GCF of 9483 and 9489 is 3

Greatest Common Factor of 9483 and 9489 by matching factors method

Factors of 9483

List of positive integer factors of 9483 that divides 9483 without a remainder.

1,3,29,87,109,327,3161,9483

Factors of 9489

List of positive integer factors of 9489 that divides 9489 without a remainder.

1,3,3163,9489

Greatest Common Factor

We found the factors and prime factorization of 9483 and 9489. The biggest common factor number is the GCF number.
So the greatest common factor 9483 and 9489 is 3.

Also check out the Least Common Multiple of 9483 and 9489

Properties of GCF 9483 and 9489

(i) The GCF of 9483 and 9489 is associative

GCF of 9483 and 9489 = GCF of 9489 and 9483

Related Greatest Common Factor of 9483

Related Greatest Common Factor of 9489

Frequently Asked Questions on GCF of 9483 and 9489

1. What is the GCF of 9483 and 9489?

Answer: GCF of 9483 and 9489 is 3.

2. What are the Factors of 9483?

Answer: Factors of 9483 are 1, 3, 29, 87, 109, 327, 3161, 9483. There are 8 integers that are factors of 9483. The greatest factor of 9483 is 9483.

3. What are the Factors of 9489?

Answer: Factors of 9489 are 1, 3, 3163, 9489. There are 4 integers that are factors of 9489. The greatest factor of 9489 is 9489.

4. How to Find the GCF of 9483 and 9489?

Answer:

Greatest Common Factor of 9483 and 9489 = 3

Step 1: Find the prime factorization of 9483

9483 = 3 x 29 x 109

Step 2: Find the prime factorization of 9489

9489 = 3 x 3163

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 9483 and 9489 is 3