What is the Greatest Common Factor of 23328 and 23348?

Greatest common factor (GCF) of 23328 and 23348 is 4.

GCF(23328,23348) = 4

We will now calculate the prime factors of 23328 and 23348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23328 and 23348.

How to find the GCF of 23328 and 23348?

We will first find the prime factorization of 23328 and 23348. After we will calculate the factors of 23328 and 23348 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 23348

Prime factors of 23348 are 2, 13, 449. Prime factorization of 23348 in exponential form is:

23348 = 2² × 13¹ × 449¹

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 23348

List of positive integer factors of 23348 that divides 23328 without a remainder.

1, 2, 4, 13, 26, 52, 449, 898, 1796, 5837, 11674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23328 and 23348. The biggest common factor number is the GCF number.
So the greatest common factor 23328 and 23348 is 4.

Also check out the Least Common Multiple of 23328 and 23348