What is the Greatest Common Factor of 23928 and 23946?

Greatest common factor (GCF) of 23928 and 23946 is 6.

GCF(23928,23946) = 6

We will now calculate the prime factors of 23928 and 23946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23928 and 23946.

How to find the GCF of 23928 and 23946?

We will first find the prime factorization of 23928 and 23946. After we will calculate the factors of 23928 and 23946 and find the biggest common factor number .

Step-1: Prime Factorization of 23928

Prime factors of 23928 are 2, 3, 997. Prime factorization of 23928 in exponential form is:

23928 = 2³ × 3¹ × 997¹

Step-2: Prime Factorization of 23946

Prime factors of 23946 are 2, 3, 13, 307. Prime factorization of 23946 in exponential form is:

23946 = 2¹ × 3¹ × 13¹ × 307¹

Step-3: Factors of 23928

List of positive integer factors of 23928 that divides 23928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 997, 1994, 2991, 3988, 5982, 7976, 11964

Step-4: Factors of 23946

List of positive integer factors of 23946 that divides 23928 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 307, 614, 921, 1842, 3991, 7982, 11973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23928 and 23946. The biggest common factor number is the GCF number.
So the greatest common factor 23928 and 23946 is 6.

Also check out the Least Common Multiple of 23928 and 23946