Greatest Common Factor of 243 and 249

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 243, 249 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 243 and 249 is 3.

GCF(243,249) = 3

GCF of 243 and 249

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

GCF of:
and

Greatest Common Factor of 243 and 249

GCF of 243 and 249 is 3

Prime Factorization of 243


3 243
3 81
3 27
3 9
3 3
1

Prime factors of 243 are 3. Prime factorization of 243 in exponential form is:

243 = 35

Prime Factorization of 249


3 249
83 83
1

Prime factors of 249 are 3.Prime factorization of 249 in exponential form is:

249 = 31×831

∴ So by taking common prime factors GCF of 243 and 249 is 3

Greatest Common Factor of 243 and 249 by matching factors method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors and prime factorization of 243 and 249. The biggest common factor number is the GCF number.
So the greatest common factor 243 and 249 is 3.

Also check out the Least Common Multiple of 243 and 249

Properties of GCF 243 and 249

(i) The GCF of 243 and 249 is associative

GCF of 243 and 249 = GCF of 249 and 243

Related Greatest Common Factor of 243

Related Greatest Common Factor of 249

Frequently Asked Questions on GCF of 243 and 249

1. What is the GCF of 243 and 249?

Answer: GCF of 243 and 249 is 3.

2. What are the Factors of 243?

Answer: Factors of 243 are 1, 3, 9, 27, 81, 243. There are 6 integers that are factors of 243. The greatest factor of 243 is 243.

3. What are the Factors of 249?

Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.

4. How to Find the GCF of 243 and 249?

Answer:

Greatest Common Factor of 243 and 249 = 3

Step 1: Find the prime factorization of 243

243 = 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 249

249 = 3 x 83

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 243 and 249 is 3