What is the Greatest Common Factor of 15365 and 15381?

Greatest common factor (GCF) of 15365 and 15381 is 1.

GCF(15365,15381) = 1

We will now calculate the prime factors of 15365 and 15381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15365 and 15381.

How to find the GCF of 15365 and 15381?

We will first find the prime factorization of 15365 and 15381. After we will calculate the factors of 15365 and 15381 and find the biggest common factor number .

Step-1: Prime Factorization of 15365

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

15365 = 5¹ × 7¹ × 439¹

Step-2: Prime Factorization of 15381

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

15381 = 3² × 1709¹

Step-3: Factors of 15365

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

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

Step-4: Factors of 15381

List of positive integer factors of 15381 that divides 15365 without a remainder.

1, 3, 9, 1709, 5127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15365 and 15381. The biggest common factor number is the GCF number.
So the greatest common factor 15365 and 15381 is 1.

Also check out the Least Common Multiple of 15365 and 15381