What is the Greatest Common Factor of 20314 and 20323?

Greatest common factor (GCF) of 20314 and 20323 is 1.

GCF(20314,20323) = 1

We will now calculate the prime factors of 20314 and 20323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20314 and 20323.

How to find the GCF of 20314 and 20323?

We will first find the prime factorization of 20314 and 20323. After we will calculate the factors of 20314 and 20323 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20323

Prime factors of 20323 are 20323. Prime factorization of 20323 in exponential form is:

20323 = 20323¹

Step-3: Factors of 20314

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

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

Step-4: Factors of 20323

List of positive integer factors of 20323 that divides 20314 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20314 and 20323. The biggest common factor number is the GCF number.
So the greatest common factor 20314 and 20323 is 1.

Also check out the Least Common Multiple of 20314 and 20323