What is the Greatest Common Factor of 8302 and 8319?

Greatest common factor (GCF) of 8302 and 8319 is 1.

GCF(8302,8319) = 1

We will now calculate the prime factors of 8302 and 8319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8302 and 8319.

How to find the GCF of 8302 and 8319?

We will first find the prime factorization of 8302 and 8319. After we will calculate the factors of 8302 and 8319 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 8319

Prime factors of 8319 are 3, 47, 59. Prime factorization of 8319 in exponential form is:

8319 = 3¹ × 47¹ × 59¹

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 8319

List of positive integer factors of 8319 that divides 8302 without a remainder.

1, 3, 47, 59, 141, 177, 2773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8302 and 8319. The biggest common factor number is the GCF number.
So the greatest common factor 8302 and 8319 is 1.

Also check out the Least Common Multiple of 8302 and 8319