Greatest Common Factor of 15357 and 15365

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 15357, 15365 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15357 and 15365 is 1.

GCF(15357,15365) = 1

GCF of 15357 and 15365

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

GCF of:
and

Greatest Common Factor of 15357 and 15365

GCF of 15357 and 15365 is 1

Prime Factorization of 15357


3 15357
5119 5119
1

Prime factors of 15357 are 3,5119. Prime factorization of 15357 in exponential form is:

15357 = 31×51191

Prime Factorization of 15365


5 15365
7 3073
439 439
1

Prime factors of 15365 are 5,7,439. Prime factorization of 15365 in exponential form is:

15365 = 51×71×4391

∴ So by taking common prime factors GCF of 15357 and 15365 is 1

Greatest Common Factor of 15357 and 15365 by matching factors method

Factors of 15357

List of positive integer factors of 15357 that divides 15357 without a remainder.

1,3,5119,15357

Factors of 15365

List of positive integer factors of 15365 that divides 15365 without a remainder.

1,5,7,35,439,2195,3073,15365

Greatest Common Factor

We found the factors and prime factorization of 15357 and 15365. The biggest common factor number is the GCF number.
So the greatest common factor 15357 and 15365 is 1.

Also check out the Least Common Multiple of 15357 and 15365

Properties of GCF 15357 and 15365

(i) The GCF of 15357 and 15365 is associative

GCF of 15357 and 15365 = GCF of 15365 and 15357

Related Greatest Common Factor of 15357

Related Greatest Common Factor of 15365

Frequently Asked Questions on GCF of 15357 and 15365

1. What is the GCF of 15357 and 15365?

Answer: GCF of 15357 and 15365 is 1.

2. What are the Factors of 15357?

Answer: Factors of 15357 are 1, 3, 5119, 15357. There are 4 integers that are factors of 15357. The greatest factor of 15357 is 15357.

3. What are the Factors of 15365?

Answer: Factors of 15365 are 1, 5, 7, 35, 439, 2195, 3073, 15365. There are 8 integers that are factors of 15365. The greatest factor of 15365 is 15365.

4. How to Find the GCF of 15357 and 15365?

Answer:

Greatest Common Factor of 15357 and 15365 = 1

Step 1: Find the prime factorization of 15357

15357 = 3 x 5119

Step 2: Find the prime factorization of 15365

15365 = 5 x 7 x 439

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 15357 and 15365 is 1