Greatest Common Factor of 234 and 242

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, 242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 234 and 242 is 2.

GCF(234,242) = 2

GCF of 234 and 242

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

GCF of:
and

Greatest Common Factor of 234 and 242

GCF of 234 and 242 is 2

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 242


2 242
11 121
11 11
1

Prime factors of 242 are 2,11. Prime factorization of 242 in exponential form is:

242 = 21×112

∴ So by taking common prime factors GCF of 234 and 242 is 2

Greatest Common Factor of 234 and 242 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 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors and prime factorization of 234 and 242. The biggest common factor number is the GCF number.
So the greatest common factor 234 and 242 is 2.

Also check out the Least Common Multiple of 234 and 242

Properties of GCF 234 and 242

(i) The GCF of 234 and 242 is associative

GCF of 234 and 242 = GCF of 242 and 234

Related Greatest Common Factor of 234

Related Greatest Common Factor of 242

Frequently Asked Questions on GCF of 234 and 242

1. What is the GCF of 234 and 242?

Answer: GCF of 234 and 242 is 2.

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 242?

Answer: Factors of 242 are 1, 2, 11, 22, 121, 242. There are 6 integers that are factors of 242. The greatest factor of 242 is 242.

4. How to Find the GCF of 234 and 242?

Answer:

Greatest Common Factor of 234 and 242 = 2

Step 1: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

Step 2: Find the prime factorization of 242

242 = 2 x 11 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 234 and 242 is 2