Greatest Common Factor of 17235 and 17243

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, 17243 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17235 and 17243 is 1.

GCF(17235,17243) = 1

GCF of 17235 and 17243

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

GCF of:
and

Greatest Common Factor of 17235 and 17243

GCF of 17235 and 17243 is 1

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 17243


43 17243
401 401
1

Prime factors of 17243 are 43,401. Prime factorization of 17243 in exponential form is:

17243 = 431×4011

∴ So by taking common prime factors GCF of 17235 and 17243 is 1

Greatest Common Factor of 17235 and 17243 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 17243

List of positive integer factors of 17243 that divides 17243 without a remainder.

1,43,401,17243

Greatest Common Factor

We found the factors and prime factorization of 17235 and 17243. The biggest common factor number is the GCF number.
So the greatest common factor 17235 and 17243 is 1.

Also check out the Least Common Multiple of 17235 and 17243

Properties of GCF 17235 and 17243

(i) The GCF of 17235 and 17243 is associative

GCF of 17235 and 17243 = GCF of 17243 and 17235

Related Greatest Common Factor of 17235

Related Greatest Common Factor of 17243

Frequently Asked Questions on GCF of 17235 and 17243

1. What is the GCF of 17235 and 17243?

Answer: GCF of 17235 and 17243 is 1.

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 17243?

Answer: Factors of 17243 are 1, 43, 401, 17243. There are 4 integers that are factors of 17243. The greatest factor of 17243 is 17243.

4. How to Find the GCF of 17235 and 17243?

Answer:

Greatest Common Factor of 17235 and 17243 = 1

Step 1: Find the prime factorization of 17235

17235 = 3 x 3 x 5 x 383

Step 2: Find the prime factorization of 17243

17243 = 43 x 401

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 17235 and 17243 is 1