Greatest Common Factor of 1224 and 1227

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, 1227 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1224 and 1227 is 3.

GCF(1224,1227) = 3

GCF of 1224 and 1227

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

GCF of:
and

Greatest Common Factor of 1224 and 1227

GCF of 1224 and 1227 is 3

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 1227


3 1227
409 409
1

Prime factors of 1227 are 3,409. Prime factorization of 1227 in exponential form is:

1227 = 31×4091

∴ So by taking common prime factors GCF of 1224 and 1227 is 3

Greatest Common Factor of 1224 and 1227 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 1227

List of positive integer factors of 1227 that divides 1227 without a remainder.

1,3,409,1227

Greatest Common Factor

We found the factors and prime factorization of 1224 and 1227. The biggest common factor number is the GCF number.
So the greatest common factor 1224 and 1227 is 3.

Also check out the Least Common Multiple of 1224 and 1227

Properties of GCF 1224 and 1227

(i) The GCF of 1224 and 1227 is associative

GCF of 1224 and 1227 = GCF of 1227 and 1224

Related Greatest Common Factor of 1224

Related Greatest Common Factor of 1227

Frequently Asked Questions on GCF of 1224 and 1227

1. What is the GCF of 1224 and 1227?

Answer: GCF of 1224 and 1227 is 3.

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 1227?

Answer: Factors of 1227 are 1, 3, 409, 1227. There are 4 integers that are factors of 1227. The greatest factor of 1227 is 1227.

4. How to Find the GCF of 1224 and 1227?

Answer:

Greatest Common Factor of 1224 and 1227 = 3

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 1227

1227 = 3 x 409

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 1224 and 1227 is 3