Greatest Common Factor of 1230 and 1233

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 1230, 1233 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1230 and 1233 is 3.

GCF(1230,1233) = 3

GCF of 1230 and 1233

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

GCF of:
and

Greatest Common Factor of 1230 and 1233

GCF of 1230 and 1233 is 3

Prime Factorization of 1230


2 1230
3 615
5 205
41 41
1

Prime factors of 1230 are 2,3,5,41. Prime factorization of 1230 in exponential form is:

1230 = 21×31×51×411

Prime Factorization of 1233


3 1233
3 411
137 137
1

Prime factors of 1233 are 3,137. Prime factorization of 1233 in exponential form is:

1233 = 32×1371

∴ So by taking common prime factors GCF of 1230 and 1233 is 3

Greatest Common Factor of 1230 and 1233 by matching factors method

Factors of 1230

List of positive integer factors of 1230 that divides 1230 without a remainder.

1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230

Factors of 1233

List of positive integer factors of 1233 that divides 1233 without a remainder.

1,3,9,137,411,1233

Greatest Common Factor

We found the factors and prime factorization of 1230 and 1233. The biggest common factor number is the GCF number.
So the greatest common factor 1230 and 1233 is 3.

Also check out the Least Common Multiple of 1230 and 1233

Properties of GCF 1230 and 1233

(i) The GCF of 1230 and 1233 is associative

GCF of 1230 and 1233 = GCF of 1233 and 1230

Related Greatest Common Factor of 1230

Related Greatest Common Factor of 1233

Frequently Asked Questions on GCF of 1230 and 1233

1. What is the GCF of 1230 and 1233?

Answer: GCF of 1230 and 1233 is 3.

2. What are the Factors of 1230?

Answer: Factors of 1230 are 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230. There are 16 integers that are factors of 1230. The greatest factor of 1230 is 1230.

3. What are the Factors of 1233?

Answer: Factors of 1233 are 1, 3, 9, 137, 411, 1233. There are 6 integers that are factors of 1233. The greatest factor of 1233 is 1233.

4. How to Find the GCF of 1230 and 1233?

Answer:

Greatest Common Factor of 1230 and 1233 = 3

Step 1: Find the prime factorization of 1230

1230 = 2 x 3 x 5 x 41

Step 2: Find the prime factorization of 1233

1233 = 3 x 3 x 137

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 1230 and 1233 is 3