Greatest Common Factor of 1230 and 1238

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, 1238 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1230 and 1238 is 2.

GCF(1230,1238) = 2

GCF of 1230 and 1238

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

GCF of:
and

Greatest Common Factor of 1230 and 1238

GCF of 1230 and 1238 is 2

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 1238


2 1238
619 619
1

Prime factors of 1238 are 2,619. Prime factorization of 1238 in exponential form is:

1238 = 21×6191

∴ So by taking common prime factors GCF of 1230 and 1238 is 2

Greatest Common Factor of 1230 and 1238 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 1238

List of positive integer factors of 1238 that divides 1238 without a remainder.

1,2,619,1238

Greatest Common Factor

We found the factors and prime factorization of 1230 and 1238. The biggest common factor number is the GCF number.
So the greatest common factor 1230 and 1238 is 2.

Also check out the Least Common Multiple of 1230 and 1238

Properties of GCF 1230 and 1238

(i) The GCF of 1230 and 1238 is associative

GCF of 1230 and 1238 = GCF of 1238 and 1230

Related Greatest Common Factor of 1230

Related Greatest Common Factor of 1238

Frequently Asked Questions on GCF of 1230 and 1238

1. What is the GCF of 1230 and 1238?

Answer: GCF of 1230 and 1238 is 2.

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 1238?

Answer: Factors of 1238 are 1, 2, 619, 1238. There are 4 integers that are factors of 1238. The greatest factor of 1238 is 1238.

4. How to Find the GCF of 1230 and 1238?

Answer:

Greatest Common Factor of 1230 and 1238 = 2

Step 1: Find the prime factorization of 1230

1230 = 2 x 3 x 5 x 41

Step 2: Find the prime factorization of 1238

1238 = 2 x 619

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 1230 and 1238 is 2