Greatest Common Factor of 235 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 235, 243 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 235 and 243 is 1.

GCF(235,243) = 1

GCF of 235 and 243

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

GCF of:
and

Greatest Common Factor of 235 and 243

GCF of 235 and 243 is 1

Prime Factorization of 235


5 235
47 47
1

Prime factors of 235 are 5,47. Prime factorization of 235 in exponential form is:

235 = 51×471

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 235 and 243 is 1

Greatest Common Factor of 235 and 243 by matching factors method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

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 235 and 243. The biggest common factor number is the GCF number.
So the greatest common factor 235 and 243 is 1.

Also check out the Least Common Multiple of 235 and 243

Properties of GCF 235 and 243

(i) The GCF of 235 and 243 is associative

GCF of 235 and 243 = GCF of 243 and 235

Related Greatest Common Factor of 235

Related Greatest Common Factor of 243

Frequently Asked Questions on GCF of 235 and 243

1. What is the GCF of 235 and 243?

Answer: GCF of 235 and 243 is 1.

2. What are the Factors of 235?

Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.

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 235 and 243?

Answer:

Greatest Common Factor of 235 and 243 = 1

Step 1: Find the prime factorization of 235

235 = 5 x 47

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 235 and 243 is 1