What is the Greatest Common Factor of 8303 and 8322?

Greatest common factor (GCF) of 8303 and 8322 is 19.

GCF(8303,8322) = 19

We will now calculate the prime factors of 8303 and 8322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8303 and 8322.

How to find the GCF of 8303 and 8322?

We will first find the prime factorization of 8303 and 8322. After we will calculate the factors of 8303 and 8322 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 8322

Prime factors of 8322 are 2, 3, 19, 73. Prime factorization of 8322 in exponential form is:

8322 = 2¹ × 3¹ × 19¹ × 73¹

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 8322

List of positive integer factors of 8322 that divides 8303 without a remainder.

1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8303 and 8322. The biggest common factor number is the GCF number.
So the greatest common factor 8303 and 8322 is 19.

Also check out the Least Common Multiple of 8303 and 8322