What is the Greatest Common Factor of 77312 and 77332?

Greatest common factor (GCF) of 77312 and 77332 is 4.

GCF(77312,77332) = 4

We will now calculate the prime factors of 77312 and 77332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77312 and 77332.

How to find the GCF of 77312 and 77332?

We will first find the prime factorization of 77312 and 77332. After we will calculate the factors of 77312 and 77332 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 77332

Prime factors of 77332 are 2, 19333. Prime factorization of 77332 in exponential form is:

77332 = 2² × 19333¹

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 77332

List of positive integer factors of 77332 that divides 77312 without a remainder.

1, 2, 4, 19333, 38666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77312 and 77332. The biggest common factor number is the GCF number.
So the greatest common factor 77312 and 77332 is 4.

Also check out the Least Common Multiple of 77312 and 77332