Greatest Common Factor of 234 and 241

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 234, 241 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 234 and 241 is 1.

GCF(234,241) = 1

GCF of 234 and 241

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

GCF of:
and

Greatest Common Factor of 234 and 241

GCF of 234 and 241 is 1

Prime Factorization of 234


2 234
3 117
3 39
13 13
1

Prime factors of 234 are 2,3,13. Prime factorization of 234 in exponential form is:

234 = 21×32×131

Prime Factorization of 241


241 241
1

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

241 = 2411

∴ So by taking common prime factors GCF of 234 and 241 is 1

Greatest Common Factor of 234 and 241 by matching factors method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 241

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

1,241

Greatest Common Factor

We found the factors and prime factorization of 234 and 241. The biggest common factor number is the GCF number.
So the greatest common factor 234 and 241 is 1.

Also check out the Least Common Multiple of 234 and 241

Properties of GCF 234 and 241

(i) The GCF of 234 and 241 is associative

GCF of 234 and 241 = GCF of 241 and 234

Related Greatest Common Factor of 234

Related Greatest Common Factor of 241

Frequently Asked Questions on GCF of 234 and 241

1. What is the GCF of 234 and 241?

Answer: GCF of 234 and 241 is 1.

2. What are the Factors of 234?

Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.

3. 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.

4. How to Find the GCF of 234 and 241?

Answer:

Greatest Common Factor of 234 and 241 = 1

Step 1: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

Step 2: Find the prime factorization of 241

241 = 241

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 234 and 241 is 1