What is the Greatest Common Factor of 16835 and 16855?

Greatest common factor (GCF) of 16835 and 16855 is 5.

GCF(16835,16855) = 5

We will now calculate the prime factors of 16835 and 16855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16835 and 16855.

How to find the GCF of 16835 and 16855?

We will first find the prime factorization of 16835 and 16855. After we will calculate the factors of 16835 and 16855 and find the biggest common factor number .

Step-1: Prime Factorization of 16835

Prime factors of 16835 are 5, 7, 13, 37. Prime factorization of 16835 in exponential form is:

16835 = 5¹ × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 16855

Prime factors of 16855 are 5, 3371. Prime factorization of 16855 in exponential form is:

16855 = 5¹ × 3371¹

Step-3: Factors of 16835

List of positive integer factors of 16835 that divides 16835 without a remainder.

1, 5, 7, 13, 35, 37, 65, 91, 185, 259, 455, 481, 1295, 2405, 3367

Step-4: Factors of 16855

List of positive integer factors of 16855 that divides 16835 without a remainder.

1, 5, 3371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16835 and 16855. The biggest common factor number is the GCF number.
So the greatest common factor 16835 and 16855 is 5.

Also check out the Least Common Multiple of 16835 and 16855