What is the Greatest Common Factor of 15366 and 15375?

Greatest common factor (GCF) of 15366 and 15375 is 3.

GCF(15366,15375) = 3

We will now calculate the prime factors of 15366 and 15375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15366 and 15375.

How to find the GCF of 15366 and 15375?

We will first find the prime factorization of 15366 and 15375. After we will calculate the factors of 15366 and 15375 and find the biggest common factor number .

Step-1: Prime Factorization of 15366

Prime factors of 15366 are 2, 3, 13, 197. Prime factorization of 15366 in exponential form is:

15366 = 2¹ × 3¹ × 13¹ × 197¹

Step-2: 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-3: Factors of 15366

List of positive integer factors of 15366 that divides 15366 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 197, 394, 591, 1182, 2561, 5122, 7683

Step-4: Factors of 15375

List of positive integer factors of 15375 that divides 15366 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15366 and 15375. The biggest common factor number is the GCF number.
So the greatest common factor 15366 and 15375 is 3.

Also check out the Least Common Multiple of 15366 and 15375