What is the Greatest Common Factor of 8405 and 8422?

Greatest common factor (GCF) of 8405 and 8422 is 1.

GCF(8405,8422) = 1

We will now calculate the prime factors of 8405 and 8422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8405 and 8422.

How to find the GCF of 8405 and 8422?

We will first find the prime factorization of 8405 and 8422. After we will calculate the factors of 8405 and 8422 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 8422

Prime factors of 8422 are 2, 4211. Prime factorization of 8422 in exponential form is:

8422 = 2¹ × 4211¹

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 8422

List of positive integer factors of 8422 that divides 8405 without a remainder.

1, 2, 4211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8405 and 8422. The biggest common factor number is the GCF number.
So the greatest common factor 8405 and 8422 is 1.

Also check out the Least Common Multiple of 8405 and 8422