What is the Greatest Common Factor of 8330 and 8347?

Greatest common factor (GCF) of 8330 and 8347 is 17.

GCF(8330,8347) = 17

We will now calculate the prime factors of 8330 and 8347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8330 and 8347.

How to find the GCF of 8330 and 8347?

We will first find the prime factorization of 8330 and 8347. After we will calculate the factors of 8330 and 8347 and find the biggest common factor number .

Step-1: Prime Factorization of 8330

Prime factors of 8330 are 2, 5, 7, 17. Prime factorization of 8330 in exponential form is:

8330 = 2¹ × 5¹ × 7² × 17¹

Step-2: Prime Factorization of 8347

Prime factors of 8347 are 17, 491. Prime factorization of 8347 in exponential form is:

8347 = 17¹ × 491¹

Step-3: Factors of 8330

List of positive integer factors of 8330 that divides 8330 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165

Step-4: Factors of 8347

List of positive integer factors of 8347 that divides 8330 without a remainder.

1, 17, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8330 and 8347. The biggest common factor number is the GCF number.
So the greatest common factor 8330 and 8347 is 17.

Also check out the Least Common Multiple of 8330 and 8347