Greatest Common Factor of 17204 and 17210

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 17204, 17210 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17204 and 17210 is 2.

GCF(17204,17210) = 2

GCF of 17204 and 17210

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

GCF of:
and

Greatest Common Factor of 17204 and 17210

GCF of 17204 and 17210 is 2

Prime Factorization of 17204


2 17204
2 8602
11 4301
17 391
23 23
1

Prime factors of 17204 are 2,11,17,23. Prime factorization of 17204 in exponential form is:

17204 = 22×111×171×231

Prime Factorization of 17210


2 17210
5 8605
1721 1721
1

Prime factors of 17210 are 2,5,1721. Prime factorization of 17210 in exponential form is:

17210 = 21×51×17211

∴ So by taking common prime factors GCF of 17204 and 17210 is 2

Greatest Common Factor of 17204 and 17210 by matching factors method

Factors of 17204

List of positive integer factors of 17204 that divides 17204 without a remainder.

1,2,4,11,17,22,23,34,44,46,68,92,187,253,374,391,506,748,782,1012,1564,4301,8602,17204

Factors of 17210

List of positive integer factors of 17210 that divides 17210 without a remainder.

1,2,5,10,1721,3442,8605,17210

Greatest Common Factor

We found the factors and prime factorization of 17204 and 17210. The biggest common factor number is the GCF number.
So the greatest common factor 17204 and 17210 is 2.

Also check out the Least Common Multiple of 17204 and 17210

Properties of GCF 17204 and 17210

(i) The GCF of 17204 and 17210 is associative

GCF of 17204 and 17210 = GCF of 17210 and 17204

Related Greatest Common Factor of 17204

Related Greatest Common Factor of 17210

Frequently Asked Questions on GCF of 17204 and 17210

1. What is the GCF of 17204 and 17210?

Answer: GCF of 17204 and 17210 is 2.

2. What are the Factors of 17204?

Answer: Factors of 17204 are 1, 2, 4, 11, 17, 22, 23, 34, 44, 46, 68, 92, 187, 253, 374, 391, 506, 748, 782, 1012, 1564, 4301, 8602, 17204. There are 24 integers that are factors of 17204. The greatest factor of 17204 is 17204.

3. What are the Factors of 17210?

Answer: Factors of 17210 are 1, 2, 5, 10, 1721, 3442, 8605, 17210. There are 8 integers that are factors of 17210. The greatest factor of 17210 is 17210.

4. How to Find the GCF of 17204 and 17210?

Answer:

Greatest Common Factor of 17204 and 17210 = 2

Step 1: Find the prime factorization of 17204

17204 = 2 x 2 x 11 x 17 x 23

Step 2: Find the prime factorization of 17210

17210 = 2 x 5 x 1721

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

GCF = 2

Step 4: Therefore, the greatest common factor of 17204 and 17210 is 2