What is the Greatest Common Factor of 15380 and 15385?

Greatest common factor (GCF) of 15380 and 15385 is 5.

GCF(15380,15385) = 5

We will now calculate the prime factors of 15380 and 15385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15380 and 15385.

How to find the GCF of 15380 and 15385?

We will first find the prime factorization of 15380 and 15385. After we will calculate the factors of 15380 and 15385 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15385

Prime factors of 15385 are 5, 17, 181. Prime factorization of 15385 in exponential form is:

15385 = 5¹ × 17¹ × 181¹

Step-3: Factors of 15380

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

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

Step-4: Factors of 15385

List of positive integer factors of 15385 that divides 15380 without a remainder.

1, 5, 17, 85, 181, 905, 3077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15380 and 15385. The biggest common factor number is the GCF number.
So the greatest common factor 15380 and 15385 is 5.

Also check out the Least Common Multiple of 15380 and 15385