Greatest Common Factor of 15321 and 15327

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, 15327 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15321 and 15327 is 3.

GCF(15321,15327) = 3

GCF of 15321 and 15327

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

GCF of:
and

Greatest Common Factor of 15321 and 15327

GCF of 15321 and 15327 is 3

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 15327


3 15327
3 5109
13 1703
131 131
1

Prime factors of 15327 are 3,13,131. Prime factorization of 15327 in exponential form is:

15327 = 32×131×1311

∴ So by taking common prime factors GCF of 15321 and 15327 is 3

Greatest Common Factor of 15321 and 15327 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 15327

List of positive integer factors of 15327 that divides 15327 without a remainder.

1,3,9,13,39,117,131,393,1179,1703,5109,15327

Greatest Common Factor

We found the factors and prime factorization of 15321 and 15327. The biggest common factor number is the GCF number.
So the greatest common factor 15321 and 15327 is 3.

Also check out the Least Common Multiple of 15321 and 15327

Properties of GCF 15321 and 15327

(i) The GCF of 15321 and 15327 is associative

GCF of 15321 and 15327 = GCF of 15327 and 15321

Related Greatest Common Factor of 15321

Related Greatest Common Factor of 15327

Frequently Asked Questions on GCF of 15321 and 15327

1. What is the GCF of 15321 and 15327?

Answer: GCF of 15321 and 15327 is 3.

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 15327?

Answer: Factors of 15327 are 1, 3, 9, 13, 39, 117, 131, 393, 1179, 1703, 5109, 15327. There are 12 integers that are factors of 15327. The greatest factor of 15327 is 15327.

4. How to Find the GCF of 15321 and 15327?

Answer:

Greatest Common Factor of 15321 and 15327 = 3

Step 1: Find the prime factorization of 15321

15321 = 3 x 5107

Step 2: Find the prime factorization of 15327

15327 = 3 x 3 x 13 x 131

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 15321 and 15327 is 3