What is the Greatest Common Factor of 20305 and 20314?

Greatest common factor (GCF) of 20305 and 20314 is 1.

GCF(20305,20314) = 1

We will now calculate the prime factors of 20305 and 20314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20305 and 20314.

How to find the GCF of 20305 and 20314?

We will first find the prime factorization of 20305 and 20314. After we will calculate the factors of 20305 and 20314 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 20314

Prime factors of 20314 are 2, 7, 1451. Prime factorization of 20314 in exponential form is:

20314 = 2¹ × 7¹ × 1451¹

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 20314

List of positive integer factors of 20314 that divides 20305 without a remainder.

1, 2, 7, 14, 1451, 2902, 10157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20305 and 20314. The biggest common factor number is the GCF number.
So the greatest common factor 20305 and 20314 is 1.

Also check out the Least Common Multiple of 20305 and 20314