Greatest Common Factor of 225 and 228

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 225, 228 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 225 and 228 is 3.

GCF(225,228) = 3

GCF of 225 and 228

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

GCF of:
and

Greatest Common Factor of 225 and 228

GCF of 225 and 228 is 3

Prime Factorization of 225


3 225
3 75
5 25
5 5
1

Prime factors of 225 are 3,5. Prime factorization of 225 in exponential form is:

225 = 32×52

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

∴ So by taking common prime factors GCF of 225 and 228 is 3

Greatest Common Factor of 225 and 228 by matching factors method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

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

Greatest Common Factor

We found the factors and prime factorization of 225 and 228. The biggest common factor number is the GCF number.
So the greatest common factor 225 and 228 is 3.

Also check out the Least Common Multiple of 225 and 228

Properties of GCF 225 and 228

(i) The GCF of 225 and 228 is associative

GCF of 225 and 228 = GCF of 228 and 225

Related Greatest Common Factor of 225

Related Greatest Common Factor of 228

Frequently Asked Questions on GCF of 225 and 228

1. What is the GCF of 225 and 228?

Answer: GCF of 225 and 228 is 3.

2. What are the Factors of 225?

Answer: Factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225. There are 9 integers that are factors of 225. The greatest factor of 225 is 225.

3. 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.

4. How to Find the GCF of 225 and 228?

Answer:

Greatest Common Factor of 225 and 228 = 3

Step 1: Find the prime factorization of 225

225 = 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

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

GCF = 3

Step 4: Therefore, the greatest common factor of 225 and 228 is 3