What is the Greatest Common Factor of 23305 and 23312?

Greatest common factor (GCF) of 23305 and 23312 is 1.

GCF(23305,23312) = 1

We will now calculate the prime factors of 23305 and 23312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23305 and 23312.

How to find the GCF of 23305 and 23312?

We will first find the prime factorization of 23305 and 23312. After we will calculate the factors of 23305 and 23312 and find the biggest common factor number .

Step-1: 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-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 23305

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

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

Step-4: Factors of 23312

List of positive integer factors of 23312 that divides 23305 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 23305 and 23312. The biggest common factor number is the GCF number.
So the greatest common factor 23305 and 23312 is 1.

Also check out the Least Common Multiple of 23305 and 23312