What is the Greatest Common Factor of 23805 and 23815?

Greatest common factor (GCF) of 23805 and 23815 is 5.

GCF(23805,23815) = 5

We will now calculate the prime factors of 23805 and 23815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23805 and 23815.

How to find the GCF of 23805 and 23815?

We will first find the prime factorization of 23805 and 23815. After we will calculate the factors of 23805 and 23815 and find the biggest common factor number .

Step-1: Prime Factorization of 23805

Prime factors of 23805 are 3, 5, 23. Prime factorization of 23805 in exponential form is:

23805 = 3² × 5¹ × 23²

Step-2: Prime Factorization of 23815

Prime factors of 23815 are 5, 11, 433. Prime factorization of 23815 in exponential form is:

23815 = 5¹ × 11¹ × 433¹

Step-3: Factors of 23805

List of positive integer factors of 23805 that divides 23805 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 529, 1035, 1587, 2645, 4761, 7935

Step-4: Factors of 23815

List of positive integer factors of 23815 that divides 23805 without a remainder.

1, 5, 11, 55, 433, 2165, 4763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23805 and 23815. The biggest common factor number is the GCF number.
So the greatest common factor 23805 and 23815 is 5.

Also check out the Least Common Multiple of 23805 and 23815