Greatest Common Factor of 228 and 229

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, 229 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 228 and 229 is 1.

GCF(228,229) = 1

GCF of 228 and 229

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

GCF of:
and

Greatest Common Factor of 228 and 229

GCF of 228 and 229 is 1

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 229


229 229
1

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 2291

∴ So by taking common prime factors GCF of 228 and 229 is 1

Greatest Common Factor of 228 and 229 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 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors and prime factorization of 228 and 229. The biggest common factor number is the GCF number.
So the greatest common factor 228 and 229 is 1.

Also check out the Least Common Multiple of 228 and 229

Properties of GCF 228 and 229

(i) The GCF of 228 and 229 is associative

GCF of 228 and 229 = GCF of 229 and 228

Related Greatest Common Factor of 228

Related Greatest Common Factor of 229

Frequently Asked Questions on GCF of 228 and 229

1. What is the GCF of 228 and 229?

Answer: GCF of 228 and 229 is 1.

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 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

4. How to Find the GCF of 228 and 229?

Answer:

Greatest Common Factor of 228 and 229 = 1

Step 1: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 229

229 = 229

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 228 and 229 is 1