What is the Greatest Common Factor of 23825 and 23838?

Greatest common factor (GCF) of 23825 and 23838 is 1.

GCF(23825,23838) = 1

We will now calculate the prime factors of 23825 and 23838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23825 and 23838.

How to find the GCF of 23825 and 23838?

We will first find the prime factorization of 23825 and 23838. After we will calculate the factors of 23825 and 23838 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 23838

Prime factors of 23838 are 2, 3, 29, 137. Prime factorization of 23838 in exponential form is:

23838 = 2¹ × 3¹ × 29¹ × 137¹

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 23838

List of positive integer factors of 23838 that divides 23825 without a remainder.

1, 2, 3, 6, 29, 58, 87, 137, 174, 274, 411, 822, 3973, 7946, 11919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23825 and 23838. The biggest common factor number is the GCF number.
So the greatest common factor 23825 and 23838 is 1.

Also check out the Least Common Multiple of 23825 and 23838