Greatest Common Factor of 15291 and 15297

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 15291, 15297 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15291 and 15297 is 3.

GCF(15291,15297) = 3

GCF of 15291 and 15297

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

GCF of:
and

Greatest Common Factor of 15291 and 15297

GCF of 15291 and 15297 is 3

Prime Factorization of 15291


3 15291
3 5097
1699 1699
1

Prime factors of 15291 are 3,1699. Prime factorization of 15291 in exponential form is:

15291 = 32×16991

Prime Factorization of 15297


3 15297
5099 5099
1

Prime factors of 15297 are 3,5099. Prime factorization of 15297 in exponential form is:

15297 = 31×50991

∴ So by taking common prime factors GCF of 15291 and 15297 is 3

Greatest Common Factor of 15291 and 15297 by matching factors method

Factors of 15291

List of positive integer factors of 15291 that divides 15291 without a remainder.

1,3,9,1699,5097,15291

Factors of 15297

List of positive integer factors of 15297 that divides 15297 without a remainder.

1,3,5099,15297

Greatest Common Factor

We found the factors and prime factorization of 15291 and 15297. The biggest common factor number is the GCF number.
So the greatest common factor 15291 and 15297 is 3.

Also check out the Least Common Multiple of 15291 and 15297

Properties of GCF 15291 and 15297

(i) The GCF of 15291 and 15297 is associative

GCF of 15291 and 15297 = GCF of 15297 and 15291

Related Greatest Common Factor of 15291

Related Greatest Common Factor of 15297

Frequently Asked Questions on GCF of 15291 and 15297

1. What is the GCF of 15291 and 15297?

Answer: GCF of 15291 and 15297 is 3.

2. What are the Factors of 15291?

Answer: Factors of 15291 are 1, 3, 9, 1699, 5097, 15291. There are 6 integers that are factors of 15291. The greatest factor of 15291 is 15291.

3. What are the Factors of 15297?

Answer: Factors of 15297 are 1, 3, 5099, 15297. There are 4 integers that are factors of 15297. The greatest factor of 15297 is 15297.

4. How to Find the GCF of 15291 and 15297?

Answer:

Greatest Common Factor of 15291 and 15297 = 3

Step 1: Find the prime factorization of 15291

15291 = 3 x 3 x 1699

Step 2: Find the prime factorization of 15297

15297 = 3 x 5099

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 15291 and 15297 is 3