Greatest Common Factor of 15381 and 15389

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 15381, 15389 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15381 and 15389 is 1.

GCF(15381,15389) = 1

GCF of 15381 and 15389

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

GCF of:
and

Greatest Common Factor of 15381 and 15389

GCF of 15381 and 15389 is 1

Prime Factorization of 15381


3 15381
3 5127
1709 1709
1

Prime factors of 15381 are 3,1709. Prime factorization of 15381 in exponential form is:

15381 = 32×17091

Prime Factorization of 15389


11 15389
1399 1399
1

Prime factors of 15389 are 11,1399. Prime factorization of 15389 in exponential form is:

15389 = 111×13991

∴ So by taking common prime factors GCF of 15381 and 15389 is 1

Greatest Common Factor of 15381 and 15389 by matching factors method

Factors of 15381

List of positive integer factors of 15381 that divides 15381 without a remainder.

1,3,9,1709,5127,15381

Factors of 15389

List of positive integer factors of 15389 that divides 15389 without a remainder.

1,11,1399,15389

Greatest Common Factor

We found the factors and prime factorization of 15381 and 15389. The biggest common factor number is the GCF number.
So the greatest common factor 15381 and 15389 is 1.

Also check out the Least Common Multiple of 15381 and 15389

Properties of GCF 15381 and 15389

(i) The GCF of 15381 and 15389 is associative

GCF of 15381 and 15389 = GCF of 15389 and 15381

Related Greatest Common Factor of 15381

Related Greatest Common Factor of 15389

Frequently Asked Questions on GCF of 15381 and 15389

1. What is the GCF of 15381 and 15389?

Answer: GCF of 15381 and 15389 is 1.

2. What are the Factors of 15381?

Answer: Factors of 15381 are 1, 3, 9, 1709, 5127, 15381. There are 6 integers that are factors of 15381. The greatest factor of 15381 is 15381.

3. What are the Factors of 15389?

Answer: Factors of 15389 are 1, 11, 1399, 15389. There are 4 integers that are factors of 15389. The greatest factor of 15389 is 15389.

4. How to Find the GCF of 15381 and 15389?

Answer:

Greatest Common Factor of 15381 and 15389 = 1

Step 1: Find the prime factorization of 15381

15381 = 3 x 3 x 1709

Step 2: Find the prime factorization of 15389

15389 = 11 x 1399

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 15381 and 15389 is 1