What is the Greatest Common Factor of 8310 and 8320?

Greatest common factor (GCF) of 8310 and 8320 is 10.

GCF(8310,8320) = 10

We will now calculate the prime factors of 8310 and 8320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8310 and 8320.

How to find the GCF of 8310 and 8320?

We will first find the prime factorization of 8310 and 8320. After we will calculate the factors of 8310 and 8320 and find the biggest common factor number .

Step-1: Prime Factorization of 8310

Prime factors of 8310 are 2, 3, 5, 277. Prime factorization of 8310 in exponential form is:

8310 = 2¹ × 3¹ × 5¹ × 277¹

Step-2: 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-3: Factors of 8310

List of positive integer factors of 8310 that divides 8310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155

Step-4: Factors of 8320

List of positive integer factors of 8320 that divides 8310 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8310 and 8320. The biggest common factor number is the GCF number.
So the greatest common factor 8310 and 8320 is 10.

Also check out the Least Common Multiple of 8310 and 8320