What is the Greatest Common Factor of 20305 and 20322?

Greatest common factor (GCF) of 20305 and 20322 is 1.

GCF(20305,20322) = 1

We will now calculate the prime factors of 20305 and 20322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20305 and 20322.

How to find the GCF of 20305 and 20322?

We will first find the prime factorization of 20305 and 20322. After we will calculate the factors of 20305 and 20322 and find the biggest common factor number .

Step-1: Prime Factorization of 20305

Prime factors of 20305 are 5, 31, 131. Prime factorization of 20305 in exponential form is:

20305 = 5¹ × 31¹ × 131¹

Step-2: Prime Factorization of 20322

Prime factors of 20322 are 2, 3, 1129. Prime factorization of 20322 in exponential form is:

20322 = 2¹ × 3² × 1129¹

Step-3: Factors of 20305

List of positive integer factors of 20305 that divides 20305 without a remainder.

1, 5, 31, 131, 155, 655, 4061

Step-4: Factors of 20322

List of positive integer factors of 20322 that divides 20305 without a remainder.

1, 2, 3, 6, 9, 18, 1129, 2258, 3387, 6774, 10161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20305 and 20322. The biggest common factor number is the GCF number.
So the greatest common factor 20305 and 20322 is 1.

Also check out the Least Common Multiple of 20305 and 20322