What is the Greatest Common Factor of 8200 and 8219?

Greatest common factor (GCF) of 8200 and 8219 is 1.

GCF(8200,8219) = 1

We will now calculate the prime factors of 8200 and 8219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8200 and 8219.

How to find the GCF of 8200 and 8219?

We will first find the prime factorization of 8200 and 8219. After we will calculate the factors of 8200 and 8219 and find the biggest common factor number .

Step-1: Prime Factorization of 8200

Prime factors of 8200 are 2, 5, 41. Prime factorization of 8200 in exponential form is:

8200 = 2³ × 5² × 41¹

Step-2: Prime Factorization of 8219

Prime factors of 8219 are 8219. Prime factorization of 8219 in exponential form is:

8219 = 8219¹

Step-3: Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100

Step-4: Factors of 8219

List of positive integer factors of 8219 that divides 8200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8200 and 8219. The biggest common factor number is the GCF number.
So the greatest common factor 8200 and 8219 is 1.

Also check out the Least Common Multiple of 8200 and 8219