What is the Greatest Common Factor of 77312 and 77316?

Greatest common factor (GCF) of 77312 and 77316 is 4.

GCF(77312,77316) = 4

We will now calculate the prime factors of 77312 and 77316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77312 and 77316.

How to find the GCF of 77312 and 77316?

We will first find the prime factorization of 77312 and 77316. After we will calculate the factors of 77312 and 77316 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 77316

Prime factors of 77316 are 2, 3, 17, 379. Prime factorization of 77316 in exponential form is:

77316 = 2² × 3¹ × 17¹ × 379¹

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 77316

List of positive integer factors of 77316 that divides 77312 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 379, 758, 1137, 1516, 2274, 4548, 6443, 12886, 19329, 25772, 38658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77312 and 77316. The biggest common factor number is the GCF number.
So the greatest common factor 77312 and 77316 is 4.

Also check out the Least Common Multiple of 77312 and 77316