What is the Greatest Common Factor of 8303 and 8311?

Greatest common factor (GCF) of 8303 and 8311 is 1.

GCF(8303,8311) = 1

We will now calculate the prime factors of 8303 and 8311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8303 and 8311.

How to find the GCF of 8303 and 8311?

We will first find the prime factorization of 8303 and 8311. After we will calculate the factors of 8303 and 8311 and find the biggest common factor number .

Step-1: Prime Factorization of 8303

Prime factors of 8303 are 19, 23. Prime factorization of 8303 in exponential form is:

8303 = 19² × 23¹

Step-2: Prime Factorization of 8311

Prime factors of 8311 are 8311. Prime factorization of 8311 in exponential form is:

8311 = 8311¹

Step-3: Factors of 8303

List of positive integer factors of 8303 that divides 8303 without a remainder.

1, 19, 23, 361, 437

Step-4: Factors of 8311

List of positive integer factors of 8311 that divides 8303 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8303 and 8311. The biggest common factor number is the GCF number.
So the greatest common factor 8303 and 8311 is 1.

Also check out the Least Common Multiple of 8303 and 8311