What is the Greatest Common Factor of 34768 and 34784?

Greatest common factor (GCF) of 34768 and 34784 is 16.

GCF(34768,34784) = 16

We will now calculate the prime factors of 34768 and 34784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34768 and 34784.

How to find the GCF of 34768 and 34784?

We will first find the prime factorization of 34768 and 34784. After we will calculate the factors of 34768 and 34784 and find the biggest common factor number .

Step-1: Prime Factorization of 34768

Prime factors of 34768 are 2, 41, 53. Prime factorization of 34768 in exponential form is:

34768 = 2⁴ × 41¹ × 53¹

Step-2: Prime Factorization of 34784

Prime factors of 34784 are 2, 1087. Prime factorization of 34784 in exponential form is:

34784 = 2⁵ × 1087¹

Step-3: Factors of 34768

List of positive integer factors of 34768 that divides 34768 without a remainder.

1, 2, 4, 8, 16, 41, 53, 82, 106, 164, 212, 328, 424, 656, 848, 2173, 4346, 8692, 17384

Step-4: Factors of 34784

List of positive integer factors of 34784 that divides 34768 without a remainder.

1, 2, 4, 8, 16, 32, 1087, 2174, 4348, 8696, 17392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34768 and 34784. The biggest common factor number is the GCF number.
So the greatest common factor 34768 and 34784 is 16.

Also check out the Least Common Multiple of 34768 and 34784