What is the Greatest Common Factor of 8405 and 8423?

Greatest common factor (GCF) of 8405 and 8423 is 1.

GCF(8405,8423) = 1

We will now calculate the prime factors of 8405 and 8423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8405 and 8423.

How to find the GCF of 8405 and 8423?

We will first find the prime factorization of 8405 and 8423. After we will calculate the factors of 8405 and 8423 and find the biggest common factor number .

Step-1: Prime Factorization of 8405

Prime factors of 8405 are 5, 41. Prime factorization of 8405 in exponential form is:

8405 = 5¹ × 41²

Step-2: Prime Factorization of 8423

Prime factors of 8423 are 8423. Prime factorization of 8423 in exponential form is:

8423 = 8423¹

Step-3: Factors of 8405

List of positive integer factors of 8405 that divides 8405 without a remainder.

1, 5, 41, 205, 1681

Step-4: Factors of 8423

List of positive integer factors of 8423 that divides 8405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8405 and 8423. The biggest common factor number is the GCF number.
So the greatest common factor 8405 and 8423 is 1.

Also check out the Least Common Multiple of 8405 and 8423