What is the Greatest Common Factor of 16405 and 16422?

Greatest common factor (GCF) of 16405 and 16422 is 17.

GCF(16405,16422) = 17

We will now calculate the prime factors of 16405 and 16422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16405 and 16422.

How to find the GCF of 16405 and 16422?

We will first find the prime factorization of 16405 and 16422. After we will calculate the factors of 16405 and 16422 and find the biggest common factor number .

Step-1: Prime Factorization of 16405

Prime factors of 16405 are 5, 17, 193. Prime factorization of 16405 in exponential form is:

16405 = 5¹ × 17¹ × 193¹

Step-2: Prime Factorization of 16422

Prime factors of 16422 are 2, 3, 7, 17, 23. Prime factorization of 16422 in exponential form is:

16422 = 2¹ × 3¹ × 7¹ × 17¹ × 23¹

Step-3: Factors of 16405

List of positive integer factors of 16405 that divides 16405 without a remainder.

1, 5, 17, 85, 193, 965, 3281

Step-4: Factors of 16422

List of positive integer factors of 16422 that divides 16405 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119, 138, 161, 238, 322, 357, 391, 483, 714, 782, 966, 1173, 2346, 2737, 5474, 8211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16405 and 16422. The biggest common factor number is the GCF number.
So the greatest common factor 16405 and 16422 is 17.

Also check out the Least Common Multiple of 16405 and 16422