What is the Greatest Common Factor of 23825 and 23845?

Greatest common factor (GCF) of 23825 and 23845 is 5.

GCF(23825,23845) = 5

We will now calculate the prime factors of 23825 and 23845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23825 and 23845.

How to find the GCF of 23825 and 23845?

We will first find the prime factorization of 23825 and 23845. After we will calculate the factors of 23825 and 23845 and find the biggest common factor number .

Step-1: Prime Factorization of 23825

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

23825 = 5² × 953¹

Step-2: Prime Factorization of 23845

Prime factors of 23845 are 5, 19, 251. Prime factorization of 23845 in exponential form is:

23845 = 5¹ × 19¹ × 251¹

Step-3: Factors of 23825

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

1, 5, 25, 953, 4765

Step-4: Factors of 23845

List of positive integer factors of 23845 that divides 23825 without a remainder.

1, 5, 19, 95, 251, 1255, 4769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23825 and 23845. The biggest common factor number is the GCF number.
So the greatest common factor 23825 and 23845 is 5.

Also check out the Least Common Multiple of 23825 and 23845