What is the Greatest Common Factor of 23952 and 23966?

Greatest common factor (GCF) of 23952 and 23966 is 2.

GCF(23952,23966) = 2

We will now calculate the prime factors of 23952 and 23966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23952 and 23966.

How to find the GCF of 23952 and 23966?

We will first find the prime factorization of 23952 and 23966. After we will calculate the factors of 23952 and 23966 and find the biggest common factor number .

Step-1: Prime Factorization of 23952

Prime factors of 23952 are 2, 3, 499. Prime factorization of 23952 in exponential form is:

23952 = 2⁴ × 3¹ × 499¹

Step-2: Prime Factorization of 23966

Prime factors of 23966 are 2, 23, 521. Prime factorization of 23966 in exponential form is:

23966 = 2¹ × 23¹ × 521¹

Step-3: Factors of 23952

List of positive integer factors of 23952 that divides 23952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 499, 998, 1497, 1996, 2994, 3992, 5988, 7984, 11976

Step-4: Factors of 23966

List of positive integer factors of 23966 that divides 23952 without a remainder.

1, 2, 23, 46, 521, 1042, 11983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23952 and 23966. The biggest common factor number is the GCF number.
So the greatest common factor 23952 and 23966 is 2.

Also check out the Least Common Multiple of 23952 and 23966