What is the Greatest Common Factor of 15384 and 15390?

Greatest common factor (GCF) of 15384 and 15390 is 6.

GCF(15384,15390) = 6

We will now calculate the prime factors of 15384 and 15390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15384 and 15390.

How to find the GCF of 15384 and 15390?

We will first find the prime factorization of 15384 and 15390. After we will calculate the factors of 15384 and 15390 and find the biggest common factor number .

Step-1: Prime Factorization of 15384

Prime factors of 15384 are 2, 3, 641. Prime factorization of 15384 in exponential form is:

15384 = 2³ × 3¹ × 641¹

Step-2: 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-3: Factors of 15384

List of positive integer factors of 15384 that divides 15384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 641, 1282, 1923, 2564, 3846, 5128, 7692

Step-4: Factors of 15390

List of positive integer factors of 15390 that divides 15384 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15384 and 15390. The biggest common factor number is the GCF number.
So the greatest common factor 15384 and 15390 is 6.

Also check out the Least Common Multiple of 15384 and 15390