Greatest Common Factor of 3243 and 3249

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 3243, 3249 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3243 and 3249 is 3.

GCF(3243,3249) = 3

GCF of 3243 and 3249

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

GCF of:
and

Greatest Common Factor of 3243 and 3249

GCF of 3243 and 3249 is 3

Prime Factorization of 3243


3 3243
23 1081
47 47
1

Prime factors of 3243 are 3,23,47. Prime factorization of 3243 in exponential form is:

3243 = 31×231×471

Prime Factorization of 3249


3 3249
3 1083
19 361
19 19
1

Prime factors of 3249 are 3,19. Prime factorization of 3249 in exponential form is:

3249 = 32×192

∴ So by taking common prime factors GCF of 3243 and 3249 is 3

Greatest Common Factor of 3243 and 3249 by matching factors method

Factors of 3243

List of positive integer factors of 3243 that divides 3243 without a remainder.

1,3,23,47,69,141,1081,3243

Factors of 3249

List of positive integer factors of 3249 that divides 3249 without a remainder.

1,3,9,19,57,171,361,1083,3249

Greatest Common Factor

We found the factors and prime factorization of 3243 and 3249. The biggest common factor number is the GCF number.
So the greatest common factor 3243 and 3249 is 3.

Also check out the Least Common Multiple of 3243 and 3249

Properties of GCF 3243 and 3249

(i) The GCF of 3243 and 3249 is associative

GCF of 3243 and 3249 = GCF of 3249 and 3243

Related Greatest Common Factor of 3243

Related Greatest Common Factor of 3249

Frequently Asked Questions on GCF of 3243 and 3249

1. What is the GCF of 3243 and 3249?

Answer: GCF of 3243 and 3249 is 3.

2. What are the Factors of 3243?

Answer: Factors of 3243 are 1, 3, 23, 47, 69, 141, 1081, 3243. There are 8 integers that are factors of 3243. The greatest factor of 3243 is 3243.

3. What are the Factors of 3249?

Answer: Factors of 3249 are 1, 3, 9, 19, 57, 171, 361, 1083, 3249. There are 9 integers that are factors of 3249. The greatest factor of 3249 is 3249.

4. How to Find the GCF of 3243 and 3249?

Answer:

Greatest Common Factor of 3243 and 3249 = 3

Step 1: Find the prime factorization of 3243

3243 = 3 x 23 x 47

Step 2: Find the prime factorization of 3249

3249 = 3 x 3 x 19 x 19

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 3243 and 3249 is 3