What is the Greatest Common Factor of 77312 and 77321?

Greatest common factor (GCF) of 77312 and 77321 is 1.

GCF(77312,77321) = 1

We will now calculate the prime factors of 77312 and 77321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77312 and 77321.

How to find the GCF of 77312 and 77321?

We will first find the prime factorization of 77312 and 77321. After we will calculate the factors of 77312 and 77321 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 77321

Prime factors of 77321 are 167, 463. Prime factorization of 77321 in exponential form is:

77321 = 167¹ × 463¹

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 77321

List of positive integer factors of 77321 that divides 77312 without a remainder.

1, 167, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77312 and 77321. The biggest common factor number is the GCF number.
So the greatest common factor 77312 and 77321 is 1.

Also check out the Least Common Multiple of 77312 and 77321