What is the Greatest Common Factor of 16834 and 16854?

Greatest common factor (GCF) of 16834 and 16854 is 2.

GCF(16834,16854) = 2

We will now calculate the prime factors of 16834 and 16854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16834 and 16854.

How to find the GCF of 16834 and 16854?

We will first find the prime factorization of 16834 and 16854. After we will calculate the factors of 16834 and 16854 and find the biggest common factor number .

Step-1: Prime Factorization of 16834

Prime factors of 16834 are 2, 19, 443. Prime factorization of 16834 in exponential form is:

16834 = 2¹ × 19¹ × 443¹

Step-2: Prime Factorization of 16854

Prime factors of 16854 are 2, 3, 53. Prime factorization of 16854 in exponential form is:

16854 = 2¹ × 3¹ × 53²

Step-3: Factors of 16834

List of positive integer factors of 16834 that divides 16834 without a remainder.

1, 2, 19, 38, 443, 886, 8417

Step-4: Factors of 16854

List of positive integer factors of 16854 that divides 16834 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318, 2809, 5618, 8427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16834 and 16854. The biggest common factor number is the GCF number.
So the greatest common factor 16834 and 16854 is 2.

Also check out the Least Common Multiple of 16834 and 16854