What is the Greatest Common Factor of 16766 and 16784?

Greatest common factor (GCF) of 16766 and 16784 is 2.

GCF(16766,16784) = 2

We will now calculate the prime factors of 16766 and 16784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16766 and 16784.

How to find the GCF of 16766 and 16784?

We will first find the prime factorization of 16766 and 16784. After we will calculate the factors of 16766 and 16784 and find the biggest common factor number .

Step-1: Prime Factorization of 16766

Prime factors of 16766 are 2, 83, 101. Prime factorization of 16766 in exponential form is:

16766 = 2¹ × 83¹ × 101¹

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 16766

List of positive integer factors of 16766 that divides 16766 without a remainder.

1, 2, 83, 101, 166, 202, 8383

Step-4: Factors of 16784

List of positive integer factors of 16784 that divides 16766 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 16766 and 16784. The biggest common factor number is the GCF number.
So the greatest common factor 16766 and 16784 is 2.

Also check out the Least Common Multiple of 16766 and 16784