What is the Greatest Common Factor of 16768 and 16784?

Greatest common factor (GCF) of 16768 and 16784 is 16.

GCF(16768,16784) = 16

We will now calculate the prime factors of 16768 and 16784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16768 and 16784.

How to find the GCF of 16768 and 16784?

We will first find the prime factorization of 16768 and 16784. After we will calculate the factors of 16768 and 16784 and find the biggest common factor number .

Step-1: Prime Factorization of 16768

Prime factors of 16768 are 2, 131. Prime factorization of 16768 in exponential form is:

16768 = 2⁷ × 131¹

Step-2: Prime Factorization of 16784

Prime factors of 16784 are 2, 1049. Prime factorization of 16784 in exponential form is:

16784 = 2⁴ × 1049¹

Step-3: Factors of 16768

List of positive integer factors of 16768 that divides 16768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 131, 262, 524, 1048, 2096, 4192, 8384

Step-4: Factors of 16784

List of positive integer factors of 16784 that divides 16768 without a remainder.

1, 2, 4, 8, 16, 1049, 2098, 4196, 8392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16768 and 16784. The biggest common factor number is the GCF number.
So the greatest common factor 16768 and 16784 is 16.

Also check out the Least Common Multiple of 16768 and 16784