What is the Greatest Common Factor of 8305 and 8321?

Greatest common factor (GCF) of 8305 and 8321 is 1.

GCF(8305,8321) = 1

We will now calculate the prime factors of 8305 and 8321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8305 and 8321.

How to find the GCF of 8305 and 8321?

We will first find the prime factorization of 8305 and 8321. After we will calculate the factors of 8305 and 8321 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 8321

Prime factors of 8321 are 53, 157. Prime factorization of 8321 in exponential form is:

8321 = 53¹ × 157¹

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 8321

List of positive integer factors of 8321 that divides 8305 without a remainder.

1, 53, 157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8305 and 8321. The biggest common factor number is the GCF number.
So the greatest common factor 8305 and 8321 is 1.

Also check out the Least Common Multiple of 8305 and 8321