Greatest Common Factor of 17223 and 17229

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 17223, 17229 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17223 and 17229 is 3.

GCF(17223,17229) = 3

GCF of 17223 and 17229

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

GCF of:
and

Greatest Common Factor of 17223 and 17229

GCF of 17223 and 17229 is 3

Prime Factorization of 17223


3 17223
5741 5741
1

Prime factors of 17223 are 3,5741. Prime factorization of 17223 in exponential form is:

17223 = 31×57411

Prime Factorization of 17229


3 17229
5743 5743
1

Prime factors of 17229 are 3,5743. Prime factorization of 17229 in exponential form is:

17229 = 31×57431

∴ So by taking common prime factors GCF of 17223 and 17229 is 3

Greatest Common Factor of 17223 and 17229 by matching factors method

Factors of 17223

List of positive integer factors of 17223 that divides 17223 without a remainder.

1,3,5741,17223

Factors of 17229

List of positive integer factors of 17229 that divides 17229 without a remainder.

1,3,5743,17229

Greatest Common Factor

We found the factors and prime factorization of 17223 and 17229. The biggest common factor number is the GCF number.
So the greatest common factor 17223 and 17229 is 3.

Also check out the Least Common Multiple of 17223 and 17229

Properties of GCF 17223 and 17229

(i) The GCF of 17223 and 17229 is associative

GCF of 17223 and 17229 = GCF of 17229 and 17223

Related Greatest Common Factor of 17223

Related Greatest Common Factor of 17229

Frequently Asked Questions on GCF of 17223 and 17229

1. What is the GCF of 17223 and 17229?

Answer: GCF of 17223 and 17229 is 3.

2. What are the Factors of 17223?

Answer: Factors of 17223 are 1, 3, 5741, 17223. There are 4 integers that are factors of 17223. The greatest factor of 17223 is 17223.

3. What are the Factors of 17229?

Answer: Factors of 17229 are 1, 3, 5743, 17229. There are 4 integers that are factors of 17229. The greatest factor of 17229 is 17229.

4. How to Find the GCF of 17223 and 17229?

Answer:

Greatest Common Factor of 17223 and 17229 = 3

Step 1: Find the prime factorization of 17223

17223 = 3 x 5741

Step 2: Find the prime factorization of 17229

17229 = 3 x 5743

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 17223 and 17229 is 3