Greatest Common Factor of 17321 and 17325

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 17321, 17325 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17321 and 17325 is 1.

GCF(17321,17325) = 1

GCF of 17321 and 17325

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

GCF of:
and

Greatest Common Factor of 17321 and 17325

GCF of 17321 and 17325 is 1

Prime Factorization of 17321


17321 17321
1

Prime factors of 17321 are 17321. Prime factorization of 17321 in exponential form is:

17321 = 173211

Prime Factorization of 17325


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

Prime factors of 17325 are 3.Prime factorization of 17325 in exponential form is:

17325 = 32×52×71×111

∴ So by taking common prime factors GCF of 17321 and 17325 is 1

Greatest Common Factor of 17321 and 17325 by matching factors method

Factors of 17321

List of positive integer factors of 17321 that divides 17321 without a remainder.

1,17321

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

Greatest Common Factor

We found the factors and prime factorization of 17321 and 17325. The biggest common factor number is the GCF number.
So the greatest common factor 17321 and 17325 is 1.

Also check out the Least Common Multiple of 17321 and 17325

Properties of GCF 17321 and 17325

(i) The GCF of 17321 and 17325 is associative

GCF of 17321 and 17325 = GCF of 17325 and 17321

Related Greatest Common Factor of 17321

Related Greatest Common Factor of 17325

Frequently Asked Questions on GCF of 17321 and 17325

1. What is the GCF of 17321 and 17325?

Answer: GCF of 17321 and 17325 is 1.

2. What are the Factors of 17321?

Answer: Factors of 17321 are 1, 17321. There are 2 integers that are factors of 17321. The greatest factor of 17321 is 17321.

3. 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.

4. How to Find the GCF of 17321 and 17325?

Answer:

Greatest Common Factor of 17321 and 17325 = 1

Step 1: Find the prime factorization of 17321

17321 = 17321

Step 2: Find the prime factorization of 17325

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

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 17321 and 17325 is 1