Greatest Common Factor of 228 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 228, 234 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 228 and 234 is 6.

GCF(228,234) = 6

GCF of 228 and 234

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

GCF of:
and

Greatest Common Factor of 228 and 234

GCF of 228 and 234 is 6

Prime Factorization of 228


2 228
2 114
3 57
19 19
1

Prime factors of 228 are 2,3,19. Prime factorization of 228 in exponential form is:

228 = 22×31×191

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 228 and 234 is 6

Greatest Common Factor of 228 and 234 by matching factors method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

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 228 and 234. The biggest common factor number is the GCF number.
So the greatest common factor 228 and 234 is 6.

Also check out the Least Common Multiple of 228 and 234

Properties of GCF 228 and 234

(i) The GCF of 228 and 234 is associative

GCF of 228 and 234 = GCF of 234 and 228

Related Greatest Common Factor of 228

Related Greatest Common Factor of 234

Frequently Asked Questions on GCF of 228 and 234

1. What is the GCF of 228 and 234?

Answer: GCF of 228 and 234 is 6.

2. What are the Factors of 228?

Answer: Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. There are 12 integers that are factors of 228. The greatest factor of 228 is 228.

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 228 and 234?

Answer:

Greatest Common Factor of 228 and 234 = 6

Step 1: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 228 and 234 is 6