What is the Greatest Common Factor of 77304 and 77312?

Greatest common factor (GCF) of 77304 and 77312 is 8.

GCF(77304,77312) = 8

We will now calculate the prime factors of 77304 and 77312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77304 and 77312.

How to find the GCF of 77304 and 77312?

We will first find the prime factorization of 77304 and 77312. After we will calculate the factors of 77304 and 77312 and find the biggest common factor number .

Step-1: Prime Factorization of 77304

Prime factors of 77304 are 2, 3, 3221. Prime factorization of 77304 in exponential form is:

77304 = 2³ × 3¹ × 3221¹

Step-2: Prime Factorization of 77312

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

77312 = 2⁹ × 151¹

Step-3: Factors of 77304

List of positive integer factors of 77304 that divides 77304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3221, 6442, 9663, 12884, 19326, 25768, 38652

Step-4: Factors of 77312

List of positive integer factors of 77312 that divides 77304 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77304 and 77312. The biggest common factor number is the GCF number.
So the greatest common factor 77304 and 77312 is 8.

Also check out the Least Common Multiple of 77304 and 77312