What is the Greatest Common Factor of 16834 and 16853?

Greatest common factor (GCF) of 16834 and 16853 is 19.

GCF(16834,16853) = 19

We will now calculate the prime factors of 16834 and 16853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16834 and 16853.

How to find the GCF of 16834 and 16853?

We will first find the prime factorization of 16834 and 16853. After we will calculate the factors of 16834 and 16853 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 16853

Prime factors of 16853 are 19, 887. Prime factorization of 16853 in exponential form is:

16853 = 19¹ × 887¹

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 16853

List of positive integer factors of 16853 that divides 16834 without a remainder.

1, 19, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16834 and 16853. The biggest common factor number is the GCF number.
So the greatest common factor 16834 and 16853 is 19.

Also check out the Least Common Multiple of 16834 and 16853