Greatest Common Factor of 17234 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 17234, 17241 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17234 and 17241 is 7.

GCF(17234,17241) = 7

GCF of 17234 and 17241

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

GCF of:
and

Greatest Common Factor of 17234 and 17241

GCF of 17234 and 17241 is 7

Prime Factorization of 17234


2 17234
7 8617
1231 1231
1

Prime factors of 17234 are 2,7,1231. Prime factorization of 17234 in exponential form is:

17234 = 21×71×12311

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 17234 and 17241 is 7

Greatest Common Factor of 17234 and 17241 by matching factors method

Factors of 17234

List of positive integer factors of 17234 that divides 17234 without a remainder.

1,2,7,14,1231,2462,8617,17234

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 17234 and 17241. The biggest common factor number is the GCF number.
So the greatest common factor 17234 and 17241 is 7.

Also check out the Least Common Multiple of 17234 and 17241

Properties of GCF 17234 and 17241

(i) The GCF of 17234 and 17241 is associative

GCF of 17234 and 17241 = GCF of 17241 and 17234

Related Greatest Common Factor of 17234

Related Greatest Common Factor of 17241

Frequently Asked Questions on GCF of 17234 and 17241

1. What is the GCF of 17234 and 17241?

Answer: GCF of 17234 and 17241 is 7.

2. What are the Factors of 17234?

Answer: Factors of 17234 are 1, 2, 7, 14, 1231, 2462, 8617, 17234. There are 8 integers that are factors of 17234. The greatest factor of 17234 is 17234.

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 17234 and 17241?

Answer:

Greatest Common Factor of 17234 and 17241 = 7

Step 1: Find the prime factorization of 17234

17234 = 2 x 7 x 1231

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 = 7

Step 4: Therefore, the greatest common factor of 17234 and 17241 is 7