Greatest Common Factor of 232 and 234

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

Greatest common factor (GCF) of 232 and 234 is 2.

GCF(232,234) = 2

GCF of 232 and 234

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

GCF of:
and

Greatest Common Factor of 232 and 234

GCF of 232 and 234 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 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

∴ So by taking common prime factors GCF of 232 and 234 is 2

Greatest Common Factor of 232 and 234 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 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

Greatest Common Factor

We found the factors and prime factorization of 232 and 234. The biggest common factor number is the GCF number.
So the greatest common factor 232 and 234 is 2.

Also check out the Least Common Multiple of 232 and 234

Properties of GCF 232 and 234

(i) The GCF of 232 and 234 is associative

GCF of 232 and 234 = GCF of 234 and 232

Related Greatest Common Factor of 232

Related Greatest Common Factor of 234

Frequently Asked Questions on GCF of 232 and 234

1. What is the GCF of 232 and 234?

Answer: GCF of 232 and 234 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 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.

4. How to Find the GCF of 232 and 234?

Answer:

Greatest Common Factor of 232 and 234 = 2

Step 1: Find the prime factorization of 232

232 = 2 x 2 x 2 x 29

Step 2: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

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 234 is 2