What is the Greatest Common Factor of 15365 and 15380?

Greatest common factor (GCF) of 15365 and 15380 is 5.

GCF(15365,15380) = 5

We will now calculate the prime factors of 15365 and 15380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15365 and 15380.

How to find the GCF of 15365 and 15380?

We will first find the prime factorization of 15365 and 15380. After we will calculate the factors of 15365 and 15380 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 15380

Prime factors of 15380 are 2, 5, 769. Prime factorization of 15380 in exponential form is:

15380 = 2² × 5¹ × 769¹

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 15380

List of positive integer factors of 15380 that divides 15365 without a remainder.

1, 2, 4, 5, 10, 20, 769, 1538, 3076, 3845, 7690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15365 and 15380. The biggest common factor number is the GCF number.
So the greatest common factor 15365 and 15380 is 5.

Also check out the Least Common Multiple of 15365 and 15380