What is the Greatest Common Factor of 8302 and 8322?

Greatest common factor (GCF) of 8302 and 8322 is 2.

GCF(8302,8322) = 2

We will now calculate the prime factors of 8302 and 8322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8302 and 8322.

How to find the GCF of 8302 and 8322?

We will first find the prime factorization of 8302 and 8322. After we will calculate the factors of 8302 and 8322 and find the biggest common factor number .

Step-1: Prime Factorization of 8302

Prime factors of 8302 are 2, 7, 593. Prime factorization of 8302 in exponential form is:

8302 = 2¹ × 7¹ × 593¹

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 8302

List of positive integer factors of 8302 that divides 8302 without a remainder.

1, 2, 7, 14, 593, 1186, 4151

Step-4: Factors of 8322

List of positive integer factors of 8322 that divides 8302 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 8302 and 8322. The biggest common factor number is the GCF number.
So the greatest common factor 8302 and 8322 is 2.

Also check out the Least Common Multiple of 8302 and 8322