Greatest Common Factor of 232 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 232, 238 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 232 and 238 is 2.

GCF(232,238) = 2

GCF of 232 and 238

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

GCF of:
and

Greatest Common Factor of 232 and 238

GCF of 232 and 238 is 2

Prime Factorization of 232


2 232
2 116
2 58
29 29
1

Prime factors of 232 are 2,29. Prime factorization of 232 in exponential form is:

232 = 23×291

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 232 and 238 is 2

Greatest Common Factor of 232 and 238 by matching factors method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

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 232 and 238. The biggest common factor number is the GCF number.
So the greatest common factor 232 and 238 is 2.

Also check out the Least Common Multiple of 232 and 238

Properties of GCF 232 and 238

(i) The GCF of 232 and 238 is associative

GCF of 232 and 238 = GCF of 238 and 232

Related Greatest Common Factor of 232

Related Greatest Common Factor of 238

Frequently Asked Questions on GCF of 232 and 238

1. What is the GCF of 232 and 238?

Answer: GCF of 232 and 238 is 2.

2. What are the Factors of 232?

Answer: Factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232. There are 8 integers that are factors of 232. The greatest factor of 232 is 232.

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 232 and 238?

Answer:

Greatest Common Factor of 232 and 238 = 2

Step 1: Find the prime factorization of 232

232 = 2 x 2 x 2 x 29

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 = 2

Step 4: Therefore, the greatest common factor of 232 and 238 is 2