Greatest Common Factor of 17325 and 17329

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 17325, 17329 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17325 and 17329 is 1.

GCF(17325,17329) = 1

GCF of 17325 and 17329

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

GCF of:
and

Greatest Common Factor of 17325 and 17329

GCF of 17325 and 17329 is 1

Prime Factorization of 17325


3 17325
3 5775
5 1925
5 385
7 77
11 11
1

Prime factors of 17325 are 3,5,7,11. Prime factorization of 17325 in exponential form is:

17325 = 32×52×71×111

Prime Factorization of 17329


13 17329
31 1333
43 43
1

Prime factors of 17329 are 13,31,43. Prime factorization of 17329 in exponential form is:

17329 = 131×311×431

∴ So by taking common prime factors GCF of 17325 and 17329 is 1

Greatest Common Factor of 17325 and 17329 by matching factors method

Factors of 17325

List of positive integer factors of 17325 that divides 17325 without a remainder.

1,3,5,7,9,11,15,21,25,33,35,45,55,63,75,77,99,105,165,175,225,231,275,315,385,495,525,693,825,1155,1575,1925,2475,3465,5775,17325

Factors of 17329

List of positive integer factors of 17329 that divides 17329 without a remainder.

1,13,31,43,403,559,1333,17329

Greatest Common Factor

We found the factors and prime factorization of 17325 and 17329. The biggest common factor number is the GCF number.
So the greatest common factor 17325 and 17329 is 1.

Also check out the Least Common Multiple of 17325 and 17329

Properties of GCF 17325 and 17329

(i) The GCF of 17325 and 17329 is associative

GCF of 17325 and 17329 = GCF of 17329 and 17325

Related Greatest Common Factor of 17325

Related Greatest Common Factor of 17329

Frequently Asked Questions on GCF of 17325 and 17329

1. What is the GCF of 17325 and 17329?

Answer: GCF of 17325 and 17329 is 1.

2. What are the Factors of 17325?

Answer: Factors of 17325 are 1, 3, 5, 7, 9, 11, 15, 21, 25, 33, 35, 45, 55, 63, 75, 77, 99, 105, 165, 175, 225, 231, 275, 315, 385, 495, 525, 693, 825, 1155, 1575, 1925, 2475, 3465, 5775, 17325. There are 36 integers that are factors of 17325. The greatest factor of 17325 is 17325.

3. What are the Factors of 17329?

Answer: Factors of 17329 are 1, 13, 31, 43, 403, 559, 1333, 17329. There are 8 integers that are factors of 17329. The greatest factor of 17329 is 17329.

4. How to Find the GCF of 17325 and 17329?

Answer:

Greatest Common Factor of 17325 and 17329 = 1

Step 1: Find the prime factorization of 17325

17325 = 3 x 3 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 17329

17329 = 13 x 31 x 43

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 17325 and 17329 is 1