What is the Greatest Common Factor of 23838 and 23846?

Greatest common factor (GCF) of 23838 and 23846 is 2.

GCF(23838,23846) = 2

We will now calculate the prime factors of 23838 and 23846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23838 and 23846.

How to find the GCF of 23838 and 23846?

We will first find the prime factorization of 23838 and 23846. After we will calculate the factors of 23838 and 23846 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 23846

Prime factors of 23846 are 2, 11923. Prime factorization of 23846 in exponential form is:

23846 = 2¹ × 11923¹

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 23846

List of positive integer factors of 23846 that divides 23838 without a remainder.

1, 2, 11923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23838 and 23846. The biggest common factor number is the GCF number.
So the greatest common factor 23838 and 23846 is 2.

Also check out the Least Common Multiple of 23838 and 23846