What is the Greatest Common Factor of 23280 and 23296?

Greatest common factor (GCF) of 23280 and 23296 is 16.

GCF(23280,23296) = 16

We will now calculate the prime factors of 23280 and 23296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23280 and 23296.

How to find the GCF of 23280 and 23296?

We will first find the prime factorization of 23280 and 23296. After we will calculate the factors of 23280 and 23296 and find the biggest common factor number .

Step-1: Prime Factorization of 23280

Prime factors of 23280 are 2, 3, 5, 97. Prime factorization of 23280 in exponential form is:

23280 = 2⁴ × 3¹ × 5¹ × 97¹

Step-2: Prime Factorization of 23296

Prime factors of 23296 are 2, 7, 13. Prime factorization of 23296 in exponential form is:

23296 = 2⁸ × 7¹ × 13¹

Step-3: Factors of 23280

List of positive integer factors of 23280 that divides 23280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 97, 120, 194, 240, 291, 388, 485, 582, 776, 970, 1164, 1455, 1552, 1940, 2328, 2910, 3880, 4656, 5820, 7760, 11640

Step-4: Factors of 23296

List of positive integer factors of 23296 that divides 23280 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 128, 182, 208, 224, 256, 364, 416, 448, 728, 832, 896, 1456, 1664, 1792, 2912, 3328, 5824, 11648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23280 and 23296. The biggest common factor number is the GCF number.
So the greatest common factor 23280 and 23296 is 16.

Also check out the Least Common Multiple of 23280 and 23296