Greatest Common Factor of 1224 and 1229

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, 1229 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1224 and 1229 is 1.

GCF(1224,1229) = 1

GCF of 1224 and 1229

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

GCF of:
and

Greatest Common Factor of 1224 and 1229

GCF of 1224 and 1229 is 1

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 1229


1229 1229
1

Prime factors of 1229 are 1229. Prime factorization of 1229 in exponential form is:

1229 = 12291

∴ So by taking common prime factors GCF of 1224 and 1229 is 1

Greatest Common Factor of 1224 and 1229 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 1229

List of positive integer factors of 1229 that divides 1229 without a remainder.

1,1229

Greatest Common Factor

We found the factors and prime factorization of 1224 and 1229. The biggest common factor number is the GCF number.
So the greatest common factor 1224 and 1229 is 1.

Also check out the Least Common Multiple of 1224 and 1229

Properties of GCF 1224 and 1229

(i) The GCF of 1224 and 1229 is associative

GCF of 1224 and 1229 = GCF of 1229 and 1224

Related Greatest Common Factor of 1224

Related Greatest Common Factor of 1229

Frequently Asked Questions on GCF of 1224 and 1229

1. What is the GCF of 1224 and 1229?

Answer: GCF of 1224 and 1229 is 1.

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 1229?

Answer: Factors of 1229 are 1, 1229. There are 2 integers that are factors of 1229. The greatest factor of 1229 is 1229.

4. How to Find the GCF of 1224 and 1229?

Answer:

Greatest Common Factor of 1224 and 1229 = 1

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 1229

1229 = 1229

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1224 and 1229 is 1