What is the Greatest Common Factor of 24355 and 24375?

Greatest common factor (GCF) of 24355 and 24375 is 5.

GCF(24355,24375) = 5

We will now calculate the prime factors of 24355 and 24375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24355 and 24375.

How to find the GCF of 24355 and 24375?

We will first find the prime factorization of 24355 and 24375. After we will calculate the factors of 24355 and 24375 and find the biggest common factor number .

Step-1: Prime Factorization of 24355

Prime factors of 24355 are 5, 4871. Prime factorization of 24355 in exponential form is:

24355 = 5¹ × 4871¹

Step-2: 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-3: Factors of 24355

List of positive integer factors of 24355 that divides 24355 without a remainder.

1, 5, 4871

Step-4: Factors of 24375

List of positive integer factors of 24375 that divides 24355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24355 and 24375. The biggest common factor number is the GCF number.
So the greatest common factor 24355 and 24375 is 5.

Also check out the Least Common Multiple of 24355 and 24375