What is the Greatest Common Factor of 23288 and 23296?

Greatest common factor (GCF) of 23288 and 23296 is 8.

GCF(23288,23296) = 8

We will now calculate the prime factors of 23288 and 23296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23288 and 23296.

How to find the GCF of 23288 and 23296?

We will first find the prime factorization of 23288 and 23296. After we will calculate the factors of 23288 and 23296 and find the biggest common factor number .

Step-1: Prime Factorization of 23288

Prime factors of 23288 are 2, 41, 71. Prime factorization of 23288 in exponential form is:

23288 = 2³ × 41¹ × 71¹

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 23288

List of positive integer factors of 23288 that divides 23288 without a remainder.

1, 2, 4, 8, 41, 71, 82, 142, 164, 284, 328, 568, 2911, 5822, 11644

Step-4: Factors of 23296

List of positive integer factors of 23296 that divides 23288 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 23288 and 23296. The biggest common factor number is the GCF number.
So the greatest common factor 23288 and 23296 is 8.

Also check out the Least Common Multiple of 23288 and 23296