What is the Greatest Common Factor of 16792 and 16810?

Greatest common factor (GCF) of 16792 and 16810 is 2.

GCF(16792,16810) = 2

We will now calculate the prime factors of 16792 and 16810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16792 and 16810.

How to find the GCF of 16792 and 16810?

We will first find the prime factorization of 16792 and 16810. After we will calculate the factors of 16792 and 16810 and find the biggest common factor number .

Step-1: Prime Factorization of 16792

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

16792 = 2³ × 2099¹

Step-2: Prime Factorization of 16810

Prime factors of 16810 are 2, 5, 41. Prime factorization of 16810 in exponential form is:

16810 = 2¹ × 5¹ × 41²

Step-3: Factors of 16792

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

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

Step-4: Factors of 16810

List of positive integer factors of 16810 that divides 16792 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410, 1681, 3362, 8405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16792 and 16810. The biggest common factor number is the GCF number.
So the greatest common factor 16792 and 16810 is 2.

Also check out the Least Common Multiple of 16792 and 16810