Greatest Common Factor of 1230 and 1234

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, 1234 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1230 and 1234 is 2.

GCF(1230,1234) = 2

GCF of 1230 and 1234

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

GCF of:
and

Greatest Common Factor of 1230 and 1234

GCF of 1230 and 1234 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 1234


2 1234
617 617
1

Prime factors of 1234 are 2,617. Prime factorization of 1234 in exponential form is:

1234 = 21×6171

∴ So by taking common prime factors GCF of 1230 and 1234 is 2

Greatest Common Factor of 1230 and 1234 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 1234

List of positive integer factors of 1234 that divides 1234 without a remainder.

1,2,617,1234

Greatest Common Factor

We found the factors and prime factorization of 1230 and 1234. The biggest common factor number is the GCF number.
So the greatest common factor 1230 and 1234 is 2.

Also check out the Least Common Multiple of 1230 and 1234

Properties of GCF 1230 and 1234

(i) The GCF of 1230 and 1234 is associative

GCF of 1230 and 1234 = GCF of 1234 and 1230

Related Greatest Common Factor of 1230

Related Greatest Common Factor of 1234

Frequently Asked Questions on GCF of 1230 and 1234

1. What is the GCF of 1230 and 1234?

Answer: GCF of 1230 and 1234 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 1234?

Answer: Factors of 1234 are 1, 2, 617, 1234. There are 4 integers that are factors of 1234. The greatest factor of 1234 is 1234.

4. How to Find the GCF of 1230 and 1234?

Answer:

Greatest Common Factor of 1230 and 1234 = 2

Step 1: Find the prime factorization of 1230

1230 = 2 x 3 x 5 x 41

Step 2: Find the prime factorization of 1234

1234 = 2 x 617

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 1234 is 2