What is the Greatest Common Factor of 8305 and 8320?

Greatest common factor (GCF) of 8305 and 8320 is 5.

GCF(8305,8320) = 5

We will now calculate the prime factors of 8305 and 8320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8305 and 8320.

How to find the GCF of 8305 and 8320?

We will first find the prime factorization of 8305 and 8320. After we will calculate the factors of 8305 and 8320 and find the biggest common factor number .

Step-1: Prime Factorization of 8305

Prime factors of 8305 are 5, 11, 151. Prime factorization of 8305 in exponential form is:

8305 = 5¹ × 11¹ × 151¹

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 8305

List of positive integer factors of 8305 that divides 8305 without a remainder.

1, 5, 11, 55, 151, 755, 1661

Step-4: Factors of 8320

List of positive integer factors of 8320 that divides 8305 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 8305 and 8320. The biggest common factor number is the GCF number.
So the greatest common factor 8305 and 8320 is 5.

Also check out the Least Common Multiple of 8305 and 8320