What is the Greatest Common Factor of 23865 and 23875?

Greatest common factor (GCF) of 23865 and 23875 is 5.

GCF(23865,23875) = 5

We will now calculate the prime factors of 23865 and 23875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23865 and 23875.

How to find the GCF of 23865 and 23875?

We will first find the prime factorization of 23865 and 23875. After we will calculate the factors of 23865 and 23875 and find the biggest common factor number .

Step-1: Prime Factorization of 23865

Prime factors of 23865 are 3, 5, 37, 43. Prime factorization of 23865 in exponential form is:

23865 = 3¹ × 5¹ × 37¹ × 43¹

Step-2: Prime Factorization of 23875

Prime factors of 23875 are 5, 191. Prime factorization of 23875 in exponential form is:

23875 = 5³ × 191¹

Step-3: Factors of 23865

List of positive integer factors of 23865 that divides 23865 without a remainder.

1, 3, 5, 15, 37, 43, 111, 129, 185, 215, 555, 645, 1591, 4773, 7955

Step-4: Factors of 23875

List of positive integer factors of 23875 that divides 23865 without a remainder.

1, 5, 25, 125, 191, 955, 4775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23865 and 23875. The biggest common factor number is the GCF number.
So the greatest common factor 23865 and 23875 is 5.

Also check out the Least Common Multiple of 23865 and 23875