What is the Greatest Common Factor of 76768 and 76784?

Greatest common factor (GCF) of 76768 and 76784 is 16.

GCF(76768,76784) = 16

We will now calculate the prime factors of 76768 and 76784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76768 and 76784.

How to find the GCF of 76768 and 76784?

We will first find the prime factorization of 76768 and 76784. After we will calculate the factors of 76768 and 76784 and find the biggest common factor number .

Step-1: Prime Factorization of 76768

Prime factors of 76768 are 2, 2399. Prime factorization of 76768 in exponential form is:

76768 = 2⁵ × 2399¹

Step-2: Prime Factorization of 76784

Prime factors of 76784 are 2, 4799. Prime factorization of 76784 in exponential form is:

76784 = 2⁴ × 4799¹

Step-3: Factors of 76768

List of positive integer factors of 76768 that divides 76768 without a remainder.

1, 2, 4, 8, 16, 32, 2399, 4798, 9596, 19192, 38384

Step-4: Factors of 76784

List of positive integer factors of 76784 that divides 76768 without a remainder.

1, 2, 4, 8, 16, 4799, 9598, 19196, 38392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76768 and 76784. The biggest common factor number is the GCF number.
So the greatest common factor 76768 and 76784 is 16.

Also check out the Least Common Multiple of 76768 and 76784