What is the Greatest Common Factor of 16784 and 16792?

Greatest common factor (GCF) of 16784 and 16792 is 8.

GCF(16784,16792) = 8

We will now calculate the prime factors of 16784 and 16792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16784 and 16792.

How to find the GCF of 16784 and 16792?

We will first find the prime factorization of 16784 and 16792. After we will calculate the factors of 16784 and 16792 and find the biggest common factor number .

Step-1: Prime Factorization of 16784

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

16784 = 2⁴ × 1049¹

Step-2: Prime Factorization of 16792

Prime factors of 16792 are 2, 2099. Prime factorization of 16792 in exponential form is:

16792 = 2³ × 2099¹

Step-3: Factors of 16784

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

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

Step-4: Factors of 16792

List of positive integer factors of 16792 that divides 16784 without a remainder.

1, 2, 4, 8, 2099, 4198, 8396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16784 and 16792. The biggest common factor number is the GCF number.
So the greatest common factor 16784 and 16792 is 8.

Also check out the Least Common Multiple of 16784 and 16792