Greatest Common Factor of 1224 and 1230

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 1224, 1230 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1224 and 1230 is 6.

GCF(1224,1230) = 6

GCF of 1224 and 1230

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

GCF of:
and

Greatest Common Factor of 1224 and 1230

GCF of 1224 and 1230 is 6

Prime Factorization of 1224


2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 1224 are 2,3,17. Prime factorization of 1224 in exponential form is:

1224 = 23×32×171

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

∴ So by taking common prime factors GCF of 1224 and 1230 is 6

Greatest Common Factor of 1224 and 1230 by matching factors method

Factors of 1224

List of positive integer factors of 1224 that divides 1224 without a remainder.

1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224

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

Greatest Common Factor

We found the factors and prime factorization of 1224 and 1230. The biggest common factor number is the GCF number.
So the greatest common factor 1224 and 1230 is 6.

Also check out the Least Common Multiple of 1224 and 1230

Properties of GCF 1224 and 1230

(i) The GCF of 1224 and 1230 is associative

GCF of 1224 and 1230 = GCF of 1230 and 1224

Related Greatest Common Factor of 1224

Related Greatest Common Factor of 1230

Frequently Asked Questions on GCF of 1224 and 1230

1. What is the GCF of 1224 and 1230?

Answer: GCF of 1224 and 1230 is 6.

2. What are the Factors of 1224?

Answer: Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. There are 24 integers that are factors of 1224. The greatest factor of 1224 is 1224.

3. 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.

4. How to Find the GCF of 1224 and 1230?

Answer:

Greatest Common Factor of 1224 and 1230 = 6

Step 1: Find the prime factorization of 1224

1224 = 2 x 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 1230

1230 = 2 x 3 x 5 x 41

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1224 and 1230 is 6