What is the Greatest Common Factor of 23296 and 23305?

Greatest common factor (GCF) of 23296 and 23305 is 1.

GCF(23296,23305) = 1

We will now calculate the prime factors of 23296 and 23305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23296 and 23305.

How to find the GCF of 23296 and 23305?

We will first find the prime factorization of 23296 and 23305. After we will calculate the factors of 23296 and 23305 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 23305

Prime factors of 23305 are 5, 59, 79. Prime factorization of 23305 in exponential form is:

23305 = 5¹ × 59¹ × 79¹

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 23305

List of positive integer factors of 23305 that divides 23296 without a remainder.

1, 5, 59, 79, 295, 395, 4661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23296 and 23305. The biggest common factor number is the GCF number.
So the greatest common factor 23296 and 23305 is 1.

Also check out the Least Common Multiple of 23296 and 23305