What is the Greatest Common Factor of 8284 and 8302?

Greatest common factor (GCF) of 8284 and 8302 is 2.

GCF(8284,8302) = 2

We will now calculate the prime factors of 8284 and 8302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8284 and 8302.

How to find the GCF of 8284 and 8302?

We will first find the prime factorization of 8284 and 8302. After we will calculate the factors of 8284 and 8302 and find the biggest common factor number .

Step-1: Prime Factorization of 8284

Prime factors of 8284 are 2, 19, 109. Prime factorization of 8284 in exponential form is:

8284 = 2² × 19¹ × 109¹

Step-2: 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-3: Factors of 8284

List of positive integer factors of 8284 that divides 8284 without a remainder.

1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142

Step-4: Factors of 8302

List of positive integer factors of 8302 that divides 8284 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8284 and 8302. The biggest common factor number is the GCF number.
So the greatest common factor 8284 and 8302 is 2.

Also check out the Least Common Multiple of 8284 and 8302