What is the Greatest Common Factor of 23328 and 23343?

Greatest common factor (GCF) of 23328 and 23343 is 3.

GCF(23328,23343) = 3

We will now calculate the prime factors of 23328 and 23343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23328 and 23343.

How to find the GCF of 23328 and 23343?

We will first find the prime factorization of 23328 and 23343. After we will calculate the factors of 23328 and 23343 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 23343

Prime factors of 23343 are 3, 31, 251. Prime factorization of 23343 in exponential form is:

23343 = 3¹ × 31¹ × 251¹

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 23343

List of positive integer factors of 23343 that divides 23328 without a remainder.

1, 3, 31, 93, 251, 753, 7781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23328 and 23343. The biggest common factor number is the GCF number.
So the greatest common factor 23328 and 23343 is 3.

Also check out the Least Common Multiple of 23328 and 23343