Greatest Common Factor of 9543 and 9549

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 9543, 9549 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9543 and 9549 is 3.

GCF(9543,9549) = 3

GCF of 9543 and 9549

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

GCF of:
and

Greatest Common Factor of 9543 and 9549

GCF of 9543 and 9549 is 3

Prime Factorization of 9543


3 9543
3181 3181
1

Prime factors of 9543 are 3,3181. Prime factorization of 9543 in exponential form is:

9543 = 31×31811

Prime Factorization of 9549


3 9549
3 3183
1061 1061
1

Prime factors of 9549 are 3,1061. Prime factorization of 9549 in exponential form is:

9549 = 32×10611

∴ So by taking common prime factors GCF of 9543 and 9549 is 3

Greatest Common Factor of 9543 and 9549 by matching factors method

Factors of 9543

List of positive integer factors of 9543 that divides 9543 without a remainder.

1,3,3181,9543

Factors of 9549

List of positive integer factors of 9549 that divides 9549 without a remainder.

1,3,9,1061,3183,9549

Greatest Common Factor

We found the factors and prime factorization of 9543 and 9549. The biggest common factor number is the GCF number.
So the greatest common factor 9543 and 9549 is 3.

Also check out the Least Common Multiple of 9543 and 9549

Properties of GCF 9543 and 9549

(i) The GCF of 9543 and 9549 is associative

GCF of 9543 and 9549 = GCF of 9549 and 9543

Related Greatest Common Factor of 9543

Related Greatest Common Factor of 9549

Frequently Asked Questions on GCF of 9543 and 9549

1. What is the GCF of 9543 and 9549?

Answer: GCF of 9543 and 9549 is 3.

2. What are the Factors of 9543?

Answer: Factors of 9543 are 1, 3, 3181, 9543. There are 4 integers that are factors of 9543. The greatest factor of 9543 is 9543.

3. What are the Factors of 9549?

Answer: Factors of 9549 are 1, 3, 9, 1061, 3183, 9549. There are 6 integers that are factors of 9549. The greatest factor of 9549 is 9549.

4. How to Find the GCF of 9543 and 9549?

Answer:

Greatest Common Factor of 9543 and 9549 = 3

Step 1: Find the prime factorization of 9543

9543 = 3 x 3181

Step 2: Find the prime factorization of 9549

9549 = 3 x 3 x 1061

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 9543 and 9549 is 3