What is the Greatest Common Factor of 15375 and 15387?

Greatest common factor (GCF) of 15375 and 15387 is 3.

GCF(15375,15387) = 3

We will now calculate the prime factors of 15375 and 15387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15375 and 15387.

How to find the GCF of 15375 and 15387?

We will first find the prime factorization of 15375 and 15387. After we will calculate the factors of 15375 and 15387 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 15387

Prime factors of 15387 are 3, 23, 223. Prime factorization of 15387 in exponential form is:

15387 = 3¹ × 23¹ × 223¹

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 15387

List of positive integer factors of 15387 that divides 15375 without a remainder.

1, 3, 23, 69, 223, 669, 5129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15375 and 15387. The biggest common factor number is the GCF number.
So the greatest common factor 15375 and 15387 is 3.

Also check out the Least Common Multiple of 15375 and 15387