What is the Greatest Common Factor of 23838 and 23842?

Greatest common factor (GCF) of 23838 and 23842 is 2.

GCF(23838,23842) = 2

We will now calculate the prime factors of 23838 and 23842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23838 and 23842.

How to find the GCF of 23838 and 23842?

We will first find the prime factorization of 23838 and 23842. After we will calculate the factors of 23838 and 23842 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 23842

Prime factors of 23842 are 2, 7, 13, 131. Prime factorization of 23842 in exponential form is:

23842 = 2¹ × 7¹ × 13¹ × 131¹

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 23842

List of positive integer factors of 23842 that divides 23838 without a remainder.

1, 2, 7, 13, 14, 26, 91, 131, 182, 262, 917, 1703, 1834, 3406, 11921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23838 and 23842. The biggest common factor number is the GCF number.
So the greatest common factor 23838 and 23842 is 2.

Also check out the Least Common Multiple of 23838 and 23842