What is the Greatest Common Factor of 23838 and 23857?

Greatest common factor (GCF) of 23838 and 23857 is 1.

GCF(23838,23857) = 1

We will now calculate the prime factors of 23838 and 23857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23838 and 23857.

How to find the GCF of 23838 and 23857?

We will first find the prime factorization of 23838 and 23857. After we will calculate the factors of 23838 and 23857 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23857

Prime factors of 23857 are 23857. Prime factorization of 23857 in exponential form is:

23857 = 23857¹

Step-3: Factors of 23838

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

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

Step-4: Factors of 23857

List of positive integer factors of 23857 that divides 23838 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23838 and 23857. The biggest common factor number is the GCF number.
So the greatest common factor 23838 and 23857 is 1.

Also check out the Least Common Multiple of 23838 and 23857