Greatest Common Factor of 15231 and 15234

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 15231, 15234 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15231 and 15234 is 3.

GCF(15231,15234) = 3

GCF of 15231 and 15234

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

GCF of:
and

Greatest Common Factor of 15231 and 15234

GCF of 15231 and 15234 is 3

Prime Factorization of 15231


3 15231
5077 5077
1

Prime factors of 15231 are 3,5077. Prime factorization of 15231 in exponential form is:

15231 = 31×50771

Prime Factorization of 15234


2 15234
3 7617
2539 2539
1

Prime factors of 15234 are 2,3,2539. Prime factorization of 15234 in exponential form is:

15234 = 21×31×25391

∴ So by taking common prime factors GCF of 15231 and 15234 is 3

Greatest Common Factor of 15231 and 15234 by matching factors method

Factors of 15231

List of positive integer factors of 15231 that divides 15231 without a remainder.

1,3,5077,15231

Factors of 15234

List of positive integer factors of 15234 that divides 15234 without a remainder.

1,2,3,6,2539,5078,7617,15234

Greatest Common Factor

We found the factors and prime factorization of 15231 and 15234. The biggest common factor number is the GCF number.
So the greatest common factor 15231 and 15234 is 3.

Also check out the Least Common Multiple of 15231 and 15234

Properties of GCF 15231 and 15234

(i) The GCF of 15231 and 15234 is associative

GCF of 15231 and 15234 = GCF of 15234 and 15231

Related Greatest Common Factor of 15231

Related Greatest Common Factor of 15234

Frequently Asked Questions on GCF of 15231 and 15234

1. What is the GCF of 15231 and 15234?

Answer: GCF of 15231 and 15234 is 3.

2. What are the Factors of 15231?

Answer: Factors of 15231 are 1, 3, 5077, 15231. There are 4 integers that are factors of 15231. The greatest factor of 15231 is 15231.

3. What are the Factors of 15234?

Answer: Factors of 15234 are 1, 2, 3, 6, 2539, 5078, 7617, 15234. There are 8 integers that are factors of 15234. The greatest factor of 15234 is 15234.

4. How to Find the GCF of 15231 and 15234?

Answer:

Greatest Common Factor of 15231 and 15234 = 3

Step 1: Find the prime factorization of 15231

15231 = 3 x 5077

Step 2: Find the prime factorization of 15234

15234 = 2 x 3 x 2539

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 15231 and 15234 is 3