What is the Greatest Common Factor of 8314 and 8321?

Greatest common factor (GCF) of 8314 and 8321 is 1.

GCF(8314,8321) = 1

We will now calculate the prime factors of 8314 and 8321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8314 and 8321.

How to find the GCF of 8314 and 8321?

We will first find the prime factorization of 8314 and 8321. After we will calculate the factors of 8314 and 8321 and find the biggest common factor number .

Step-1: Prime Factorization of 8314

Prime factors of 8314 are 2, 4157. Prime factorization of 8314 in exponential form is:

8314 = 2¹ × 4157¹

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 8314

List of positive integer factors of 8314 that divides 8314 without a remainder.

1, 2, 4157

Step-4: Factors of 8321

List of positive integer factors of 8321 that divides 8314 without a remainder.

1, 53, 157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8314 and 8321. The biggest common factor number is the GCF number.
So the greatest common factor 8314 and 8321 is 1.

Also check out the Least Common Multiple of 8314 and 8321