What is the Greatest Common Factor of 16305 and 16322?

Greatest common factor (GCF) of 16305 and 16322 is 1.

GCF(16305,16322) = 1

We will now calculate the prime factors of 16305 and 16322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16305 and 16322.

How to find the GCF of 16305 and 16322?

We will first find the prime factorization of 16305 and 16322. After we will calculate the factors of 16305 and 16322 and find the biggest common factor number .

Step-1: Prime Factorization of 16305

Prime factors of 16305 are 3, 5, 1087. Prime factorization of 16305 in exponential form is:

16305 = 3¹ × 5¹ × 1087¹

Step-2: Prime Factorization of 16322

Prime factors of 16322 are 2, 8161. Prime factorization of 16322 in exponential form is:

16322 = 2¹ × 8161¹

Step-3: Factors of 16305

List of positive integer factors of 16305 that divides 16305 without a remainder.

1, 3, 5, 15, 1087, 3261, 5435

Step-4: Factors of 16322

List of positive integer factors of 16322 that divides 16305 without a remainder.

1, 2, 8161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16305 and 16322. The biggest common factor number is the GCF number.
So the greatest common factor 16305 and 16322 is 1.

Also check out the Least Common Multiple of 16305 and 16322