What is the Greatest Common Factor of 24375 and 24393?

Greatest common factor (GCF) of 24375 and 24393 is 3.

GCF(24375,24393) = 3

We will now calculate the prime factors of 24375 and 24393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24375 and 24393.

How to find the GCF of 24375 and 24393?

We will first find the prime factorization of 24375 and 24393. After we will calculate the factors of 24375 and 24393 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 24393

Prime factors of 24393 are 3, 47, 173. Prime factorization of 24393 in exponential form is:

24393 = 3¹ × 47¹ × 173¹

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 24393

List of positive integer factors of 24393 that divides 24375 without a remainder.

1, 3, 47, 141, 173, 519, 8131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24375 and 24393. The biggest common factor number is the GCF number.
So the greatest common factor 24375 and 24393 is 3.

Also check out the Least Common Multiple of 24375 and 24393