What is the Greatest Common Factor of 20305 and 20324?

Greatest common factor (GCF) of 20305 and 20324 is 1.

GCF(20305,20324) = 1

We will now calculate the prime factors of 20305 and 20324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20305 and 20324.

How to find the GCF of 20305 and 20324?

We will first find the prime factorization of 20305 and 20324. After we will calculate the factors of 20305 and 20324 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 20324

Prime factors of 20324 are 2, 5081. Prime factorization of 20324 in exponential form is:

20324 = 2² × 5081¹

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 20324

List of positive integer factors of 20324 that divides 20305 without a remainder.

1, 2, 4, 5081, 10162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20305 and 20324. The biggest common factor number is the GCF number.
So the greatest common factor 20305 and 20324 is 1.

Also check out the Least Common Multiple of 20305 and 20324