Greatest Common Factor of 17225 and 17230

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 17225, 17230 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17225 and 17230 is 5.

GCF(17225,17230) = 5

GCF of 17225 and 17230

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

GCF of:
and

Greatest Common Factor of 17225 and 17230

GCF of 17225 and 17230 is 5

Prime Factorization of 17225


5 17225
5 3445
13 689
53 53
1

Prime factors of 17225 are 5,13,53. Prime factorization of 17225 in exponential form is:

17225 = 52×131×531

Prime Factorization of 17230


2 17230
5 8615
1723 1723
1

Prime factors of 17230 are 2,5,1723. Prime factorization of 17230 in exponential form is:

17230 = 21×51×17231

∴ So by taking common prime factors GCF of 17225 and 17230 is 5

Greatest Common Factor of 17225 and 17230 by matching factors method

Factors of 17225

List of positive integer factors of 17225 that divides 17225 without a remainder.

1,5,13,25,53,65,265,325,689,1325,3445,17225

Factors of 17230

List of positive integer factors of 17230 that divides 17230 without a remainder.

1,2,5,10,1723,3446,8615,17230

Greatest Common Factor

We found the factors and prime factorization of 17225 and 17230. The biggest common factor number is the GCF number.
So the greatest common factor 17225 and 17230 is 5.

Also check out the Least Common Multiple of 17225 and 17230

Properties of GCF 17225 and 17230

(i) The GCF of 17225 and 17230 is associative

GCF of 17225 and 17230 = GCF of 17230 and 17225

Related Greatest Common Factor of 17225

Related Greatest Common Factor of 17230

Frequently Asked Questions on GCF of 17225 and 17230

1. What is the GCF of 17225 and 17230?

Answer: GCF of 17225 and 17230 is 5.

2. What are the Factors of 17225?

Answer: Factors of 17225 are 1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225. There are 12 integers that are factors of 17225. The greatest factor of 17225 is 17225.

3. What are the Factors of 17230?

Answer: Factors of 17230 are 1, 2, 5, 10, 1723, 3446, 8615, 17230. There are 8 integers that are factors of 17230. The greatest factor of 17230 is 17230.

4. How to Find the GCF of 17225 and 17230?

Answer:

Greatest Common Factor of 17225 and 17230 = 5

Step 1: Find the prime factorization of 17225

17225 = 5 x 5 x 13 x 53

Step 2: Find the prime factorization of 17230

17230 = 2 x 5 x 1723

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

GCF = 5

Step 4: Therefore, the greatest common factor of 17225 and 17230 is 5