What is the Greatest Common Factor of 15390 and 15395?

Greatest common factor (GCF) of 15390 and 15395 is 5.

GCF(15390,15395) = 5

We will now calculate the prime factors of 15390 and 15395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15390 and 15395.

How to find the GCF of 15390 and 15395?

We will first find the prime factorization of 15390 and 15395. After we will calculate the factors of 15390 and 15395 and find the biggest common factor number .

Step-1: Prime Factorization of 15390

Prime factors of 15390 are 2, 3, 5, 19. Prime factorization of 15390 in exponential form is:

15390 = 2¹ × 3⁴ × 5¹ × 19¹

Step-2: Prime Factorization of 15395

Prime factors of 15395 are 5, 3079. Prime factorization of 15395 in exponential form is:

15395 = 5¹ × 3079¹

Step-3: Factors of 15390

List of positive integer factors of 15390 that divides 15390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 81, 90, 95, 114, 135, 162, 171, 190, 270, 285, 342, 405, 513, 570, 810, 855, 1026, 1539, 1710, 2565, 3078, 5130, 7695

Step-4: Factors of 15395

List of positive integer factors of 15395 that divides 15390 without a remainder.

1, 5, 3079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15390 and 15395. The biggest common factor number is the GCF number.
So the greatest common factor 15390 and 15395 is 5.

Also check out the Least Common Multiple of 15390 and 15395