What is the Greatest Common Factor of 24375 and 24390?

Greatest common factor (GCF) of 24375 and 24390 is 15.

GCF(24375,24390) = 15

We will now calculate the prime factors of 24375 and 24390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24375 and 24390.

How to find the GCF of 24375 and 24390?

We will first find the prime factorization of 24375 and 24390. After we will calculate the factors of 24375 and 24390 and find the biggest common factor number .

Step-1: Prime Factorization of 24375

Prime factors of 24375 are 3, 5, 13. Prime factorization of 24375 in exponential form is:

24375 = 3¹ × 5⁴ × 13¹

Step-2: Prime Factorization of 24390

Prime factors of 24390 are 2, 3, 5, 271. Prime factorization of 24390 in exponential form is:

24390 = 2¹ × 3² × 5¹ × 271¹

Step-3: Factors of 24375

List of positive integer factors of 24375 that divides 24375 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 625, 975, 1625, 1875, 4875, 8125

Step-4: Factors of 24390

List of positive integer factors of 24390 that divides 24375 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 271, 542, 813, 1355, 1626, 2439, 2710, 4065, 4878, 8130, 12195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24375 and 24390. The biggest common factor number is the GCF number.
So the greatest common factor 24375 and 24390 is 15.

Also check out the Least Common Multiple of 24375 and 24390