Greatest Common Factor of 15304 and 15310

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 15304, 15310 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15304 and 15310 is 2.

GCF(15304,15310) = 2

GCF of 15304 and 15310

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

GCF of:
and

Greatest Common Factor of 15304 and 15310

GCF of 15304 and 15310 is 2

Prime Factorization of 15304


2 15304
2 7652
2 3826
1913 1913
1

Prime factors of 15304 are 2,1913. Prime factorization of 15304 in exponential form is:

15304 = 23×19131

Prime Factorization of 15310


2 15310
5 7655
1531 1531
1

Prime factors of 15310 are 2,5,1531. Prime factorization of 15310 in exponential form is:

15310 = 21×51×15311

∴ So by taking common prime factors GCF of 15304 and 15310 is 2

Greatest Common Factor of 15304 and 15310 by matching factors method

Factors of 15304

List of positive integer factors of 15304 that divides 15304 without a remainder.

1,2,4,8,1913,3826,7652,15304

Factors of 15310

List of positive integer factors of 15310 that divides 15310 without a remainder.

1,2,5,10,1531,3062,7655,15310

Greatest Common Factor

We found the factors and prime factorization of 15304 and 15310. The biggest common factor number is the GCF number.
So the greatest common factor 15304 and 15310 is 2.

Also check out the Least Common Multiple of 15304 and 15310

Properties of GCF 15304 and 15310

(i) The GCF of 15304 and 15310 is associative

GCF of 15304 and 15310 = GCF of 15310 and 15304

Related Greatest Common Factor of 15304

Related Greatest Common Factor of 15310

Frequently Asked Questions on GCF of 15304 and 15310

1. What is the GCF of 15304 and 15310?

Answer: GCF of 15304 and 15310 is 2.

2. What are the Factors of 15304?

Answer: Factors of 15304 are 1, 2, 4, 8, 1913, 3826, 7652, 15304. There are 8 integers that are factors of 15304. The greatest factor of 15304 is 15304.

3. What are the Factors of 15310?

Answer: Factors of 15310 are 1, 2, 5, 10, 1531, 3062, 7655, 15310. There are 8 integers that are factors of 15310. The greatest factor of 15310 is 15310.

4. How to Find the GCF of 15304 and 15310?

Answer:

Greatest Common Factor of 15304 and 15310 = 2

Step 1: Find the prime factorization of 15304

15304 = 2 x 2 x 2 x 1913

Step 2: Find the prime factorization of 15310

15310 = 2 x 5 x 1531

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

GCF = 2

Step 4: Therefore, the greatest common factor of 15304 and 15310 is 2