What is the Greatest Common Factor of 15375 and 15384?

Greatest common factor (GCF) of 15375 and 15384 is 3.

GCF(15375,15384) = 3

We will now calculate the prime factors of 15375 and 15384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15375 and 15384.

How to find the GCF of 15375 and 15384?

We will first find the prime factorization of 15375 and 15384. After we will calculate the factors of 15375 and 15384 and find the biggest common factor number .

Step-1: Prime Factorization of 15375

Prime factors of 15375 are 3, 5, 41. Prime factorization of 15375 in exponential form is:

15375 = 3¹ × 5³ × 41¹

Step-2: 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-3: Factors of 15375

List of positive integer factors of 15375 that divides 15375 without a remainder.

1, 3, 5, 15, 25, 41, 75, 123, 125, 205, 375, 615, 1025, 3075, 5125

Step-4: Factors of 15384

List of positive integer factors of 15384 that divides 15375 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15375 and 15384. The biggest common factor number is the GCF number.
So the greatest common factor 15375 and 15384 is 3.

Also check out the Least Common Multiple of 15375 and 15384