Greatest Common Factor of 15321 and 15325

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 15321, 15325 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15321 and 15325 is 1.

GCF(15321,15325) = 1

GCF of 15321 and 15325

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

GCF of:
and

Greatest Common Factor of 15321 and 15325

GCF of 15321 and 15325 is 1

Prime Factorization of 15321


3 15321
5107 5107
1

Prime factors of 15321 are 3,5107. Prime factorization of 15321 in exponential form is:

15321 = 31×51071

Prime Factorization of 15325


5 15325
5 3065
613 613
1

Prime factors of 15325 are 5,613. Prime factorization of 15325 in exponential form is:

15325 = 52×6131

∴ So by taking common prime factors GCF of 15321 and 15325 is 1

Greatest Common Factor of 15321 and 15325 by matching factors method

Factors of 15321

List of positive integer factors of 15321 that divides 15321 without a remainder.

1,3,5107,15321

Factors of 15325

List of positive integer factors of 15325 that divides 15325 without a remainder.

1,5,25,613,3065,15325

Greatest Common Factor

We found the factors and prime factorization of 15321 and 15325. The biggest common factor number is the GCF number.
So the greatest common factor 15321 and 15325 is 1.

Also check out the Least Common Multiple of 15321 and 15325

Properties of GCF 15321 and 15325

(i) The GCF of 15321 and 15325 is associative

GCF of 15321 and 15325 = GCF of 15325 and 15321

Related Greatest Common Factor of 15321

Related Greatest Common Factor of 15325

Frequently Asked Questions on GCF of 15321 and 15325

1. What is the GCF of 15321 and 15325?

Answer: GCF of 15321 and 15325 is 1.

2. What are the Factors of 15321?

Answer: Factors of 15321 are 1, 3, 5107, 15321. There are 4 integers that are factors of 15321. The greatest factor of 15321 is 15321.

3. What are the Factors of 15325?

Answer: Factors of 15325 are 1, 5, 25, 613, 3065, 15325. There are 6 integers that are factors of 15325. The greatest factor of 15325 is 15325.

4. How to Find the GCF of 15321 and 15325?

Answer:

Greatest Common Factor of 15321 and 15325 = 1

Step 1: Find the prime factorization of 15321

15321 = 3 x 5107

Step 2: Find the prime factorization of 15325

15325 = 5 x 5 x 613

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 15321 and 15325 is 1