What is the Greatest Common Factor of 24375 and 24388?

Greatest common factor (GCF) of 24375 and 24388 is 13.

GCF(24375,24388) = 13

We will now calculate the prime factors of 24375 and 24388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24375 and 24388.

How to find the GCF of 24375 and 24388?

We will first find the prime factorization of 24375 and 24388. After we will calculate the factors of 24375 and 24388 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 24388

Prime factors of 24388 are 2, 7, 13, 67. Prime factorization of 24388 in exponential form is:

24388 = 2² × 7¹ × 13¹ × 67¹

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 24388

List of positive integer factors of 24388 that divides 24375 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 67, 91, 134, 182, 268, 364, 469, 871, 938, 1742, 1876, 3484, 6097, 12194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24375 and 24388. The biggest common factor number is the GCF number.
So the greatest common factor 24375 and 24388 is 13.

Also check out the Least Common Multiple of 24375 and 24388