Greatest Common Factor of 17235 and 17241

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 17235, 17241 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17235 and 17241 is 3.

GCF(17235,17241) = 3

GCF of 17235 and 17241

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

GCF of:
and

Greatest Common Factor of 17235 and 17241

GCF of 17235 and 17241 is 3

Prime Factorization of 17235


3 17235
3 5745
5 1915
383 383
1

Prime factors of 17235 are 3,5,383. Prime factorization of 17235 in exponential form is:

17235 = 32×51×3831

Prime Factorization of 17241


3 17241
7 5747
821 821
1

Prime factors of 17241 are 3,7,821. Prime factorization of 17241 in exponential form is:

17241 = 31×71×8211

∴ So by taking common prime factors GCF of 17235 and 17241 is 3

Greatest Common Factor of 17235 and 17241 by matching factors method

Factors of 17235

List of positive integer factors of 17235 that divides 17235 without a remainder.

1,3,5,9,15,45,383,1149,1915,3447,5745,17235

Factors of 17241

List of positive integer factors of 17241 that divides 17241 without a remainder.

1,3,7,21,821,2463,5747,17241

Greatest Common Factor

We found the factors and prime factorization of 17235 and 17241. The biggest common factor number is the GCF number.
So the greatest common factor 17235 and 17241 is 3.

Also check out the Least Common Multiple of 17235 and 17241

Properties of GCF 17235 and 17241

(i) The GCF of 17235 and 17241 is associative

GCF of 17235 and 17241 = GCF of 17241 and 17235

Related Greatest Common Factor of 17235

Related Greatest Common Factor of 17241

Frequently Asked Questions on GCF of 17235 and 17241

1. What is the GCF of 17235 and 17241?

Answer: GCF of 17235 and 17241 is 3.

2. What are the Factors of 17235?

Answer: Factors of 17235 are 1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235. There are 12 integers that are factors of 17235. The greatest factor of 17235 is 17235.

3. What are the Factors of 17241?

Answer: Factors of 17241 are 1, 3, 7, 21, 821, 2463, 5747, 17241. There are 8 integers that are factors of 17241. The greatest factor of 17241 is 17241.

4. How to Find the GCF of 17235 and 17241?

Answer:

Greatest Common Factor of 17235 and 17241 = 3

Step 1: Find the prime factorization of 17235

17235 = 3 x 3 x 5 x 383

Step 2: Find the prime factorization of 17241

17241 = 3 x 7 x 821

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 17235 and 17241 is 3