What is the Greatest Common Factor of 23328 and 23340?

Greatest common factor (GCF) of 23328 and 23340 is 12.

GCF(23328,23340) = 12

We will now calculate the prime factors of 23328 and 23340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23328 and 23340.

How to find the GCF of 23328 and 23340?

We will first find the prime factorization of 23328 and 23340. After we will calculate the factors of 23328 and 23340 and find the biggest common factor number .

Step-1: Prime Factorization of 23328

Prime factors of 23328 are 2, 3. Prime factorization of 23328 in exponential form is:

23328 = 2⁵ × 3⁶

Step-2: Prime Factorization of 23340

Prime factors of 23340 are 2, 3, 5, 389. Prime factorization of 23340 in exponential form is:

23340 = 2² × 3¹ × 5¹ × 389¹

Step-3: Factors of 23328

List of positive integer factors of 23328 that divides 23328 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 729, 864, 972, 1296, 1458, 1944, 2592, 2916, 3888, 5832, 7776, 11664

Step-4: Factors of 23340

List of positive integer factors of 23340 that divides 23328 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 389, 778, 1167, 1556, 1945, 2334, 3890, 4668, 5835, 7780, 11670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23328 and 23340. The biggest common factor number is the GCF number.
So the greatest common factor 23328 and 23340 is 12.

Also check out the Least Common Multiple of 23328 and 23340