Greatest Common Factor of 231 and 238

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 231, 238 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 231 and 238 is 7.

GCF(231,238) = 7

GCF of 231 and 238

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

GCF of:
and

Greatest Common Factor of 231 and 238

GCF of 231 and 238 is 7

Prime Factorization of 231


3 231
7 77
11 11
1

Prime factors of 231 are 3,7,11. Prime factorization of 231 in exponential form is:

231 = 31×71×111

Prime Factorization of 238


2 238
7 119
17 17
1

Prime factors of 238 are 2,7,17. Prime factorization of 238 in exponential form is:

238 = 21×71×171

∴ So by taking common prime factors GCF of 231 and 238 is 7

Greatest Common Factor of 231 and 238 by matching factors method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors and prime factorization of 231 and 238. The biggest common factor number is the GCF number.
So the greatest common factor 231 and 238 is 7.

Also check out the Least Common Multiple of 231 and 238

Properties of GCF 231 and 238

(i) The GCF of 231 and 238 is associative

GCF of 231 and 238 = GCF of 238 and 231

Related Greatest Common Factor of 231

Related Greatest Common Factor of 238

Frequently Asked Questions on GCF of 231 and 238

1. What is the GCF of 231 and 238?

Answer: GCF of 231 and 238 is 7.

2. What are the Factors of 231?

Answer: Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. There are 8 integers that are factors of 231. The greatest factor of 231 is 231.

3. What are the Factors of 238?

Answer: Factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238. There are 8 integers that are factors of 238. The greatest factor of 238 is 238.

4. How to Find the GCF of 231 and 238?

Answer:

Greatest Common Factor of 231 and 238 = 7

Step 1: Find the prime factorization of 231

231 = 3 x 7 x 11

Step 2: Find the prime factorization of 238

238 = 2 x 7 x 17

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

GCF = 7

Step 4: Therefore, the greatest common factor of 231 and 238 is 7