What is the Greatest Common Factor of 23904 and 23920?

Greatest common factor (GCF) of 23904 and 23920 is 16.

GCF(23904,23920) = 16

We will now calculate the prime factors of 23904 and 23920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23904 and 23920.

How to find the GCF of 23904 and 23920?

We will first find the prime factorization of 23904 and 23920. After we will calculate the factors of 23904 and 23920 and find the biggest common factor number .

Step-1: Prime Factorization of 23904

Prime factors of 23904 are 2, 3, 83. Prime factorization of 23904 in exponential form is:

23904 = 2⁵ × 3² × 83¹

Step-2: Prime Factorization of 23920

Prime factors of 23920 are 2, 5, 13, 23. Prime factorization of 23920 in exponential form is:

23920 = 2⁴ × 5¹ × 13¹ × 23¹

Step-3: Factors of 23904

List of positive integer factors of 23904 that divides 23904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 83, 96, 144, 166, 249, 288, 332, 498, 664, 747, 996, 1328, 1494, 1992, 2656, 2988, 3984, 5976, 7968, 11952

Step-4: Factors of 23920

List of positive integer factors of 23920 that divides 23904 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 23, 26, 40, 46, 52, 65, 80, 92, 104, 115, 130, 184, 208, 230, 260, 299, 368, 460, 520, 598, 920, 1040, 1196, 1495, 1840, 2392, 2990, 4784, 5980, 11960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23904 and 23920. The biggest common factor number is the GCF number.
So the greatest common factor 23904 and 23920 is 16.

Also check out the Least Common Multiple of 23904 and 23920