What is the Greatest Common Factor of 23916 and 23928?

Greatest common factor (GCF) of 23916 and 23928 is 12.

GCF(23916,23928) = 12

We will now calculate the prime factors of 23916 and 23928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23916 and 23928.

How to find the GCF of 23916 and 23928?

We will first find the prime factorization of 23916 and 23928. After we will calculate the factors of 23916 and 23928 and find the biggest common factor number .

Step-1: Prime Factorization of 23916

Prime factors of 23916 are 2, 3, 1993. Prime factorization of 23916 in exponential form is:

23916 = 2² × 3¹ × 1993¹

Step-2: 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-3: Factors of 23916

List of positive integer factors of 23916 that divides 23916 without a remainder.

1, 2, 3, 4, 6, 12, 1993, 3986, 5979, 7972, 11958

Step-4: Factors of 23928

List of positive integer factors of 23928 that divides 23916 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23916 and 23928. The biggest common factor number is the GCF number.
So the greatest common factor 23916 and 23928 is 12.

Also check out the Least Common Multiple of 23916 and 23928