What is the Greatest Common Factor of 23937 and 23952?

Greatest common factor (GCF) of 23937 and 23952 is 3.

GCF(23937,23952) = 3

We will now calculate the prime factors of 23937 and 23952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23937 and 23952.

How to find the GCF of 23937 and 23952?

We will first find the prime factorization of 23937 and 23952. After we will calculate the factors of 23937 and 23952 and find the biggest common factor number .

Step-1: Prime Factorization of 23937

Prime factors of 23937 are 3, 79, 101. Prime factorization of 23937 in exponential form is:

23937 = 3¹ × 79¹ × 101¹

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 23937

List of positive integer factors of 23937 that divides 23937 without a remainder.

1, 3, 79, 101, 237, 303, 7979

Step-4: Factors of 23952

List of positive integer factors of 23952 that divides 23937 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 23937 and 23952. The biggest common factor number is the GCF number.
So the greatest common factor 23937 and 23952 is 3.

Also check out the Least Common Multiple of 23937 and 23952