Greatest Common Factor of 15379 and 15381

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 15379, 15381 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15379 and 15381 is 1.

GCF(15379,15381) = 1

GCF of 15379 and 15381

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

GCF of:
and

Greatest Common Factor of 15379 and 15381

GCF of 15379 and 15381 is 1

Prime Factorization of 15379


7 15379
13 2197
13 169
13 13
1

Prime factors of 15379 are 7,13. Prime factorization of 15379 in exponential form is:

15379 = 71×133

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

∴ So by taking common prime factors GCF of 15379 and 15381 is 1

Greatest Common Factor of 15379 and 15381 by matching factors method

Factors of 15379

List of positive integer factors of 15379 that divides 15379 without a remainder.

1,7,13,91,169,1183,2197,15379

Factors of 15381

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

1,3,9,1709,5127,15381

Greatest Common Factor

We found the factors and prime factorization of 15379 and 15381. The biggest common factor number is the GCF number.
So the greatest common factor 15379 and 15381 is 1.

Also check out the Least Common Multiple of 15379 and 15381

Properties of GCF 15379 and 15381

(i) The GCF of 15379 and 15381 is associative

GCF of 15379 and 15381 = GCF of 15381 and 15379

Related Greatest Common Factor of 15379

Related Greatest Common Factor of 15381

Frequently Asked Questions on GCF of 15379 and 15381

1. What is the GCF of 15379 and 15381?

Answer: GCF of 15379 and 15381 is 1.

2. What are the Factors of 15379?

Answer: Factors of 15379 are 1, 7, 13, 91, 169, 1183, 2197, 15379. There are 8 integers that are factors of 15379. The greatest factor of 15379 is 15379.

3. 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.

4. How to Find the GCF of 15379 and 15381?

Answer:

Greatest Common Factor of 15379 and 15381 = 1

Step 1: Find the prime factorization of 15379

15379 = 7 x 13 x 13 x 13

Step 2: Find the prime factorization of 15381

15381 = 3 x 3 x 1709

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 15379 and 15381 is 1