Greatest Common Factor of 17229 and 17232

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 17229, 17232 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17229 and 17232 is 3.

GCF(17229,17232) = 3

GCF of 17229 and 17232

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

GCF of:
and

Greatest Common Factor of 17229 and 17232

GCF of 17229 and 17232 is 3

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

Prime Factorization of 17232


2 17232
2 8616
2 4308
2 2154
3 1077
359 359
1

Prime factors of 17232 are 2,3,359. Prime factorization of 17232 in exponential form is:

17232 = 24×31×3591

∴ So by taking common prime factors GCF of 17229 and 17232 is 3

Greatest Common Factor of 17229 and 17232 by matching factors method

Factors of 17229

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

1,3,5743,17229

Factors of 17232

List of positive integer factors of 17232 that divides 17232 without a remainder.

1,2,3,4,6,8,12,16,24,48,359,718,1077,1436,2154,2872,4308,5744,8616,17232

Greatest Common Factor

We found the factors and prime factorization of 17229 and 17232. The biggest common factor number is the GCF number.
So the greatest common factor 17229 and 17232 is 3.

Also check out the Least Common Multiple of 17229 and 17232

Properties of GCF 17229 and 17232

(i) The GCF of 17229 and 17232 is associative

GCF of 17229 and 17232 = GCF of 17232 and 17229

Related Greatest Common Factor of 17229

Related Greatest Common Factor of 17232

Frequently Asked Questions on GCF of 17229 and 17232

1. What is the GCF of 17229 and 17232?

Answer: GCF of 17229 and 17232 is 3.

2. 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.

3. What are the Factors of 17232?

Answer: Factors of 17232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 17232. There are 20 integers that are factors of 17232. The greatest factor of 17232 is 17232.

4. How to Find the GCF of 17229 and 17232?

Answer:

Greatest Common Factor of 17229 and 17232 = 3

Step 1: Find the prime factorization of 17229

17229 = 3 x 5743

Step 2: Find the prime factorization of 17232

17232 = 2 x 2 x 2 x 2 x 3 x 359

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 17229 and 17232 is 3