Greatest Common Factor of 2223 and 2229

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 2223, 2229 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2223 and 2229 is 3.

GCF(2223,2229) = 3

GCF of 2223 and 2229

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

GCF of:
and

Greatest Common Factor of 2223 and 2229

GCF of 2223 and 2229 is 3

Prime Factorization of 2223


3 2223
3 741
13 247
19 19
1

Prime factors of 2223 are 3,13,19. Prime factorization of 2223 in exponential form is:

2223 = 32×131×191

Prime Factorization of 2229


3 2229
743 743
1

Prime factors of 2229 are 3,743. Prime factorization of 2229 in exponential form is:

2229 = 31×7431

∴ So by taking common prime factors GCF of 2223 and 2229 is 3

Greatest Common Factor of 2223 and 2229 by matching factors method

Factors of 2223

List of positive integer factors of 2223 that divides 2223 without a remainder.

1,3,9,13,19,39,57,117,171,247,741,2223

Factors of 2229

List of positive integer factors of 2229 that divides 2229 without a remainder.

1,3,743,2229

Greatest Common Factor

We found the factors and prime factorization of 2223 and 2229. The biggest common factor number is the GCF number.
So the greatest common factor 2223 and 2229 is 3.

Also check out the Least Common Multiple of 2223 and 2229

Properties of GCF 2223 and 2229

(i) The GCF of 2223 and 2229 is associative

GCF of 2223 and 2229 = GCF of 2229 and 2223

Related Greatest Common Factor of 2223

Related Greatest Common Factor of 2229

Frequently Asked Questions on GCF of 2223 and 2229

1. What is the GCF of 2223 and 2229?

Answer: GCF of 2223 and 2229 is 3.

2. What are the Factors of 2223?

Answer: Factors of 2223 are 1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 741, 2223. There are 12 integers that are factors of 2223. The greatest factor of 2223 is 2223.

3. What are the Factors of 2229?

Answer: Factors of 2229 are 1, 3, 743, 2229. There are 4 integers that are factors of 2229. The greatest factor of 2229 is 2229.

4. How to Find the GCF of 2223 and 2229?

Answer:

Greatest Common Factor of 2223 and 2229 = 3

Step 1: Find the prime factorization of 2223

2223 = 3 x 3 x 13 x 19

Step 2: Find the prime factorization of 2229

2229 = 3 x 743

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 2223 and 2229 is 3