What is the Greatest Common Factor of 16835 and 16849?

Greatest common factor (GCF) of 16835 and 16849 is 7.

GCF(16835,16849) = 7

We will now calculate the prime factors of 16835 and 16849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16835 and 16849.

How to find the GCF of 16835 and 16849?

We will first find the prime factorization of 16835 and 16849. After we will calculate the factors of 16835 and 16849 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 16849

Prime factors of 16849 are 7, 29, 83. Prime factorization of 16849 in exponential form is:

16849 = 7¹ × 29¹ × 83¹

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 16849

List of positive integer factors of 16849 that divides 16835 without a remainder.

1, 7, 29, 83, 203, 581, 2407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16835 and 16849. The biggest common factor number is the GCF number.
So the greatest common factor 16835 and 16849 is 7.

Also check out the Least Common Multiple of 16835 and 16849