What is the Greatest Common Factor of 23946 and 23952?

Greatest common factor (GCF) of 23946 and 23952 is 6.

GCF(23946,23952) = 6

We will now calculate the prime factors of 23946 and 23952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23946 and 23952.

How to find the GCF of 23946 and 23952?

We will first find the prime factorization of 23946 and 23952. After we will calculate the factors of 23946 and 23952 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 23946

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

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

Step-4: Factors of 23952

List of positive integer factors of 23952 that divides 23946 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23946 and 23952. The biggest common factor number is the GCF number.
So the greatest common factor 23946 and 23952 is 6.

Also check out the Least Common Multiple of 23946 and 23952