Greatest Common Factor of 17325 and 17333

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, 17333 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17325 and 17333 is 1.

GCF(17325,17333) = 1

GCF of 17325 and 17333

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

GCF of:
and

Greatest Common Factor of 17325 and 17333

GCF of 17325 and 17333 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 17333


17333 17333
1

Prime factors of 17333 are 17333. Prime factorization of 17333 in exponential form is:

17333 = 173331

∴ So by taking common prime factors GCF of 17325 and 17333 is 1

Greatest Common Factor of 17325 and 17333 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 17333

List of positive integer factors of 17333 that divides 17333 without a remainder.

1,17333

Greatest Common Factor

We found the factors and prime factorization of 17325 and 17333. The biggest common factor number is the GCF number.
So the greatest common factor 17325 and 17333 is 1.

Also check out the Least Common Multiple of 17325 and 17333

Properties of GCF 17325 and 17333

(i) The GCF of 17325 and 17333 is associative

GCF of 17325 and 17333 = GCF of 17333 and 17325

Related Greatest Common Factor of 17325

Related Greatest Common Factor of 17333

Frequently Asked Questions on GCF of 17325 and 17333

1. What is the GCF of 17325 and 17333?

Answer: GCF of 17325 and 17333 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 17333?

Answer: Factors of 17333 are 1, 17333. There are 2 integers that are factors of 17333. The greatest factor of 17333 is 17333.

4. How to Find the GCF of 17325 and 17333?

Answer:

Greatest Common Factor of 17325 and 17333 = 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 17333

17333 = 17333

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 17333 is 1