What is the Greatest Common Factor of 16802 and 16822?

Greatest common factor (GCF) of 16802 and 16822 is 2.

GCF(16802,16822) = 2

We will now calculate the prime factors of 16802 and 16822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16802 and 16822.

How to find the GCF of 16802 and 16822?

We will first find the prime factorization of 16802 and 16822. After we will calculate the factors of 16802 and 16822 and find the biggest common factor number .

Step-1: Prime Factorization of 16802

Prime factors of 16802 are 2, 31, 271. Prime factorization of 16802 in exponential form is:

16802 = 2¹ × 31¹ × 271¹

Step-2: 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-3: Factors of 16802

List of positive integer factors of 16802 that divides 16802 without a remainder.

1, 2, 31, 62, 271, 542, 8401

Step-4: Factors of 16822

List of positive integer factors of 16822 that divides 16802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16802 and 16822. The biggest common factor number is the GCF number.
So the greatest common factor 16802 and 16822 is 2.

Also check out the Least Common Multiple of 16802 and 16822