Greatest Common Factor of 15225 and 15231

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 15225, 15231 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15225 and 15231 is 3.

GCF(15225,15231) = 3

GCF of 15225 and 15231

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

GCF of:
and

Greatest Common Factor of 15225 and 15231

GCF of 15225 and 15231 is 3

Prime Factorization of 15225


3 15225
5 5075
5 1015
7 203
29 29
1

Prime factors of 15225 are 3,5,7,29. Prime factorization of 15225 in exponential form is:

15225 = 31×52×71×291

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

∴ So by taking common prime factors GCF of 15225 and 15231 is 3

Greatest Common Factor of 15225 and 15231 by matching factors method

Factors of 15225

List of positive integer factors of 15225 that divides 15225 without a remainder.

1,3,5,7,15,21,25,29,35,75,87,105,145,175,203,435,525,609,725,1015,2175,3045,5075,15225

Factors of 15231

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

1,3,5077,15231

Greatest Common Factor

We found the factors and prime factorization of 15225 and 15231. The biggest common factor number is the GCF number.
So the greatest common factor 15225 and 15231 is 3.

Also check out the Least Common Multiple of 15225 and 15231

Properties of GCF 15225 and 15231

(i) The GCF of 15225 and 15231 is associative

GCF of 15225 and 15231 = GCF of 15231 and 15225

Related Greatest Common Factor of 15225

Related Greatest Common Factor of 15231

Frequently Asked Questions on GCF of 15225 and 15231

1. What is the GCF of 15225 and 15231?

Answer: GCF of 15225 and 15231 is 3.

2. What are the Factors of 15225?

Answer: Factors of 15225 are 1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 145, 175, 203, 435, 525, 609, 725, 1015, 2175, 3045, 5075, 15225. There are 24 integers that are factors of 15225. The greatest factor of 15225 is 15225.

3. 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.

4. How to Find the GCF of 15225 and 15231?

Answer:

Greatest Common Factor of 15225 and 15231 = 3

Step 1: Find the prime factorization of 15225

15225 = 3 x 5 x 5 x 7 x 29

Step 2: Find the prime factorization of 15231

15231 = 3 x 5077

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 15225 and 15231 is 3