What is the Greatest Common Factor of 23805 and 23825?

Greatest common factor (GCF) of 23805 and 23825 is 5.

GCF(23805,23825) = 5

We will now calculate the prime factors of 23805 and 23825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23805 and 23825.

How to find the GCF of 23805 and 23825?

We will first find the prime factorization of 23805 and 23825. After we will calculate the factors of 23805 and 23825 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 23825

Prime factors of 23825 are 5, 953. Prime factorization of 23825 in exponential form is:

23825 = 5² × 953¹

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 23825

List of positive integer factors of 23825 that divides 23805 without a remainder.

1, 5, 25, 953, 4765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23805 and 23825. The biggest common factor number is the GCF number.
So the greatest common factor 23805 and 23825 is 5.

Also check out the Least Common Multiple of 23805 and 23825