What is the Greatest Common Factor of 77312 and 77323?

Greatest common factor (GCF) of 77312 and 77323 is 1.

GCF(77312,77323) = 1

We will now calculate the prime factors of 77312 and 77323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77312 and 77323.

How to find the GCF of 77312 and 77323?

We will first find the prime factorization of 77312 and 77323. After we will calculate the factors of 77312 and 77323 and find the biggest common factor number .

Step-1: Prime Factorization of 77312

Prime factors of 77312 are 2, 151. Prime factorization of 77312 in exponential form is:

77312 = 2⁹ × 151¹

Step-2: Prime Factorization of 77323

Prime factors of 77323 are 77323. Prime factorization of 77323 in exponential form is:

77323 = 77323¹

Step-3: Factors of 77312

List of positive integer factors of 77312 that divides 77312 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 151, 256, 302, 512, 604, 1208, 2416, 4832, 9664, 19328, 38656

Step-4: Factors of 77323

List of positive integer factors of 77323 that divides 77312 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77312 and 77323. The biggest common factor number is the GCF number.
So the greatest common factor 77312 and 77323 is 1.

Also check out the Least Common Multiple of 77312 and 77323