What is the Greatest Common Factor of 23296 and 23306?

Greatest common factor (GCF) of 23296 and 23306 is 2.

GCF(23296,23306) = 2

We will now calculate the prime factors of 23296 and 23306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23296 and 23306.

How to find the GCF of 23296 and 23306?

We will first find the prime factorization of 23296 and 23306. After we will calculate the factors of 23296 and 23306 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 23306

Prime factors of 23306 are 2, 43, 271. Prime factorization of 23306 in exponential form is:

23306 = 2¹ × 43¹ × 271¹

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 23306

List of positive integer factors of 23306 that divides 23296 without a remainder.

1, 2, 43, 86, 271, 542, 11653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23296 and 23306. The biggest common factor number is the GCF number.
So the greatest common factor 23296 and 23306 is 2.

Also check out the Least Common Multiple of 23296 and 23306