What is the Greatest Common Factor of 23940 and 23952?

Greatest common factor (GCF) of 23940 and 23952 is 12.

GCF(23940,23952) = 12

We will now calculate the prime factors of 23940 and 23952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23940 and 23952.

How to find the GCF of 23940 and 23952?

We will first find the prime factorization of 23940 and 23952. After we will calculate the factors of 23940 and 23952 and find the biggest common factor number .

Step-1: Prime Factorization of 23940

Prime factors of 23940 are 2, 3, 5, 7, 19. Prime factorization of 23940 in exponential form is:

23940 = 2² × 3² × 5¹ × 7¹ × 19¹

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 23940

List of positive integer factors of 23940 that divides 23940 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 19, 20, 21, 28, 30, 35, 36, 38, 42, 45, 57, 60, 63, 70, 76, 84, 90, 95, 105, 114, 126, 133, 140, 171, 180, 190, 210, 228, 252, 266, 285, 315, 342, 380, 399, 420, 532, 570, 630, 665, 684, 798, 855, 1140, 1197, 1260, 1330, 1596, 1710, 1995, 2394, 2660, 3420, 3990, 4788, 5985, 7980, 11970

Step-4: Factors of 23952

List of positive integer factors of 23952 that divides 23940 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 23940 and 23952. The biggest common factor number is the GCF number.
So the greatest common factor 23940 and 23952 is 12.

Also check out the Least Common Multiple of 23940 and 23952