What is the Greatest Common Factor of 15390 and 15409?

Greatest common factor (GCF) of 15390 and 15409 is 19.

GCF(15390,15409) = 19

We will now calculate the prime factors of 15390 and 15409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15390 and 15409.

How to find the GCF of 15390 and 15409?

We will first find the prime factorization of 15390 and 15409. After we will calculate the factors of 15390 and 15409 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 15409

Prime factors of 15409 are 19, 811. Prime factorization of 15409 in exponential form is:

15409 = 19¹ × 811¹

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 15409

List of positive integer factors of 15409 that divides 15390 without a remainder.

1, 19, 811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15390 and 15409. The biggest common factor number is the GCF number.
So the greatest common factor 15390 and 15409 is 19.

Also check out the Least Common Multiple of 15390 and 15409