What is the Greatest Common Factor of 16822 and 16835?

Greatest common factor (GCF) of 16822 and 16835 is 13.

GCF(16822,16835) = 13

We will now calculate the prime factors of 16822 and 16835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16822 and 16835.

How to find the GCF of 16822 and 16835?

We will first find the prime factorization of 16822 and 16835. After we will calculate the factors of 16822 and 16835 and find the biggest common factor number .

Step-1: Prime Factorization of 16822

Prime factors of 16822 are 2, 13, 647. Prime factorization of 16822 in exponential form is:

16822 = 2¹ × 13¹ × 647¹

Step-2: 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-3: Factors of 16822

List of positive integer factors of 16822 that divides 16822 without a remainder.

1, 2, 13, 26, 647, 1294, 8411

Step-4: Factors of 16835

List of positive integer factors of 16835 that divides 16822 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16822 and 16835. The biggest common factor number is the GCF number.
So the greatest common factor 16822 and 16835 is 13.

Also check out the Least Common Multiple of 16822 and 16835