What is the Greatest Common Factor of 8320 and 8340?

Greatest common factor (GCF) of 8320 and 8340 is 20.

GCF(8320,8340) = 20

We will now calculate the prime factors of 8320 and 8340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8320 and 8340.

How to find the GCF of 8320 and 8340?

We will first find the prime factorization of 8320 and 8340. After we will calculate the factors of 8320 and 8340 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 8340

Prime factors of 8340 are 2, 3, 5, 139. Prime factorization of 8340 in exponential form is:

8340 = 2² × 3¹ × 5¹ × 139¹

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 8340

List of positive integer factors of 8340 that divides 8320 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8320 and 8340. The biggest common factor number is the GCF number.
So the greatest common factor 8320 and 8340 is 20.

Also check out the Least Common Multiple of 8320 and 8340