Greatest Common Factor of 9489 and 9497

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 9489, 9497 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9489 and 9497 is 1.

GCF(9489,9497) = 1

GCF of 9489 and 9497

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

GCF of:
and

Greatest Common Factor of 9489 and 9497

GCF of 9489 and 9497 is 1

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

Prime Factorization of 9497


9497 9497
1

Prime factors of 9497 are 9497. Prime factorization of 9497 in exponential form is:

9497 = 94971

∴ So by taking common prime factors GCF of 9489 and 9497 is 1

Greatest Common Factor of 9489 and 9497 by matching factors method

Factors of 9489

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

1,3,3163,9489

Factors of 9497

List of positive integer factors of 9497 that divides 9497 without a remainder.

1,9497

Greatest Common Factor

We found the factors and prime factorization of 9489 and 9497. The biggest common factor number is the GCF number.
So the greatest common factor 9489 and 9497 is 1.

Also check out the Least Common Multiple of 9489 and 9497

Properties of GCF 9489 and 9497

(i) The GCF of 9489 and 9497 is associative

GCF of 9489 and 9497 = GCF of 9497 and 9489

Frequently Asked Questions on GCF of 9489 and 9497

1. What is the GCF of 9489 and 9497?

Answer: GCF of 9489 and 9497 is 1.

2. 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.

3. What are the Factors of 9497?

Answer: Factors of 9497 are 1, 9497. There are 2 integers that are factors of 9497. The greatest factor of 9497 is 9497.

4. How to Find the GCF of 9489 and 9497?

Answer:

Greatest Common Factor of 9489 and 9497 = 1

Step 1: Find the prime factorization of 9489

9489 = 3 x 3163

Step 2: Find the prime factorization of 9497

9497 = 9497

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 9489 and 9497 is 1