Greatest Common Factor of 15165 and 15172

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 15165, 15172 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15165 and 15172 is 1.

GCF(15165,15172) = 1

GCF of 15165 and 15172

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

GCF of:
and

Greatest Common Factor of 15165 and 15172

GCF of 15165 and 15172 is 1

Prime Factorization of 15165


3 15165
3 5055
5 1685
337 337
1

Prime factors of 15165 are 3,5,337. Prime factorization of 15165 in exponential form is:

15165 = 32×51×3371

Prime Factorization of 15172


2 15172
2 7586
3793 3793
1

Prime factors of 15172 are 2,3793. Prime factorization of 15172 in exponential form is:

15172 = 22×37931

∴ So by taking common prime factors GCF of 15165 and 15172 is 1

Greatest Common Factor of 15165 and 15172 by matching factors method

Factors of 15165

List of positive integer factors of 15165 that divides 15165 without a remainder.

1,3,5,9,15,45,337,1011,1685,3033,5055,15165

Factors of 15172

List of positive integer factors of 15172 that divides 15172 without a remainder.

1,2,4,3793,7586,15172

Greatest Common Factor

We found the factors and prime factorization of 15165 and 15172. The biggest common factor number is the GCF number.
So the greatest common factor 15165 and 15172 is 1.

Also check out the Least Common Multiple of 15165 and 15172

Properties of GCF 15165 and 15172

(i) The GCF of 15165 and 15172 is associative

GCF of 15165 and 15172 = GCF of 15172 and 15165

Related Greatest Common Factor of 15165

Related Greatest Common Factor of 15172

Frequently Asked Questions on GCF of 15165 and 15172

1. What is the GCF of 15165 and 15172?

Answer: GCF of 15165 and 15172 is 1.

2. What are the Factors of 15165?

Answer: Factors of 15165 are 1, 3, 5, 9, 15, 45, 337, 1011, 1685, 3033, 5055, 15165. There are 12 integers that are factors of 15165. The greatest factor of 15165 is 15165.

3. What are the Factors of 15172?

Answer: Factors of 15172 are 1, 2, 4, 3793, 7586, 15172. There are 6 integers that are factors of 15172. The greatest factor of 15172 is 15172.

4. How to Find the GCF of 15165 and 15172?

Answer:

Greatest Common Factor of 15165 and 15172 = 1

Step 1: Find the prime factorization of 15165

15165 = 3 x 3 x 5 x 337

Step 2: Find the prime factorization of 15172

15172 = 2 x 2 x 3793

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 15165 and 15172 is 1