What is the Greatest Common Factor of 8320 and 8330?

Greatest common factor (GCF) of 8320 and 8330 is 10.

GCF(8320,8330) = 10

We will now calculate the prime factors of 8320 and 8330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8320 and 8330.

How to find the GCF of 8320 and 8330?

We will first find the prime factorization of 8320 and 8330. After we will calculate the factors of 8320 and 8330 and find the biggest common factor number .

Step-1: Prime Factorization of 8320

Prime factors of 8320 are 2, 5, 13. Prime factorization of 8320 in exponential form is:

8320 = 2⁷ × 5¹ × 13¹

Step-2: 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-3: Factors of 8320

List of positive integer factors of 8320 that divides 8320 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160

Step-4: Factors of 8330

List of positive integer factors of 8330 that divides 8320 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8320 and 8330. The biggest common factor number is the GCF number.
So the greatest common factor 8320 and 8330 is 10.

Also check out the Least Common Multiple of 8320 and 8330