What is the Greatest Common Factor of 23296 and 23312?

Greatest common factor (GCF) of 23296 and 23312 is 16.

GCF(23296,23312) = 16

We will now calculate the prime factors of 23296 and 23312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23296 and 23312.

How to find the GCF of 23296 and 23312?

We will first find the prime factorization of 23296 and 23312. After we will calculate the factors of 23296 and 23312 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23312

Prime factors of 23312 are 2, 31, 47. Prime factorization of 23312 in exponential form is:

23312 = 2⁴ × 31¹ × 47¹

Step-3: Factors of 23296

List of positive integer factors of 23296 that divides 23296 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

Step-4: Factors of 23312

List of positive integer factors of 23312 that divides 23296 without a remainder.

1, 2, 4, 8, 16, 31, 47, 62, 94, 124, 188, 248, 376, 496, 752, 1457, 2914, 5828, 11656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23296 and 23312. The biggest common factor number is the GCF number.
So the greatest common factor 23296 and 23312 is 16.

Also check out the Least Common Multiple of 23296 and 23312