Greatest Common Factor of 241 and 243

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 241, 243 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 241 and 243 is 1.

GCF(241,243) = 1

GCF of 241 and 243

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

GCF of:
and

Greatest Common Factor of 241 and 243

GCF of 241 and 243 is 1

Prime Factorization of 241


241 241
1

Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:

241 = 2411

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

∴ So by taking common prime factors GCF of 241 and 243 is 1

Greatest Common Factor of 241 and 243 by matching factors method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 243

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

1,3,9,27,81,243

Greatest Common Factor

We found the factors and prime factorization of 241 and 243. The biggest common factor number is the GCF number.
So the greatest common factor 241 and 243 is 1.

Also check out the Least Common Multiple of 241 and 243

Properties of GCF 241 and 243

(i) The GCF of 241 and 243 is associative

GCF of 241 and 243 = GCF of 243 and 241

Frequently Asked Questions on GCF of 241 and 243

1. What is the GCF of 241 and 243?

Answer: GCF of 241 and 243 is 1.

2. What are the Factors of 241?

Answer: Factors of 241 are 1, 241. There are 2 integers that are factors of 241. The greatest factor of 241 is 241.

3. 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.

4. How to Find the GCF of 241 and 243?

Answer:

Greatest Common Factor of 241 and 243 = 1

Step 1: Find the prime factorization of 241

241 = 241

Step 2: Find the prime factorization of 243

243 = 3 x 3 x 3 x 3 x 3

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 241 and 243 is 1