What is the Greatest Common Factor of 23976 and 23994?

Greatest common factor (GCF) of 23976 and 23994 is 18.

GCF(23976,23994) = 18

We will now calculate the prime factors of 23976 and 23994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23976 and 23994.

How to find the GCF of 23976 and 23994?

We will first find the prime factorization of 23976 and 23994. After we will calculate the factors of 23976 and 23994 and find the biggest common factor number .

Step-1: Prime Factorization of 23976

Prime factors of 23976 are 2, 3, 37. Prime factorization of 23976 in exponential form is:

23976 = 2³ × 3⁴ × 37¹

Step-2: Prime Factorization of 23994

Prime factors of 23994 are 2, 3, 31, 43. Prime factorization of 23994 in exponential form is:

23994 = 2¹ × 3² × 31¹ × 43¹

Step-3: Factors of 23976

List of positive integer factors of 23976 that divides 23976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 81, 108, 111, 148, 162, 216, 222, 296, 324, 333, 444, 648, 666, 888, 999, 1332, 1998, 2664, 2997, 3996, 5994, 7992, 11988

Step-4: Factors of 23994

List of positive integer factors of 23994 that divides 23976 without a remainder.

1, 2, 3, 6, 9, 18, 31, 43, 62, 86, 93, 129, 186, 258, 279, 387, 558, 774, 1333, 2666, 3999, 7998, 11997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23976 and 23994. The biggest common factor number is the GCF number.
So the greatest common factor 23976 and 23994 is 18.

Also check out the Least Common Multiple of 23976 and 23994