What is the Greatest Common Factor of 82200 and 82219?

Greatest common factor (GCF) of 82200 and 82219 is 1.

GCF(82200,82219) = 1

We will now calculate the prime factors of 82200 and 82219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82200 and 82219.

How to find the GCF of 82200 and 82219?

We will first find the prime factorization of 82200 and 82219. After we will calculate the factors of 82200 and 82219 and find the biggest common factor number .

Step-1: Prime Factorization of 82200

Prime factors of 82200 are 2, 3, 5, 137. Prime factorization of 82200 in exponential form is:

82200 = 2³ × 3¹ × 5² × 137¹

Step-2: Prime Factorization of 82219

Prime factors of 82219 are 82219. Prime factorization of 82219 in exponential form is:

82219 = 82219¹

Step-3: Factors of 82200

List of positive integer factors of 82200 that divides 82200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 137, 150, 200, 274, 300, 411, 548, 600, 685, 822, 1096, 1370, 1644, 2055, 2740, 3288, 3425, 4110, 5480, 6850, 8220, 10275, 13700, 16440, 20550, 27400, 41100

Step-4: Factors of 82219

List of positive integer factors of 82219 that divides 82200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82200 and 82219. The biggest common factor number is the GCF number.
So the greatest common factor 82200 and 82219 is 1.

Also check out the Least Common Multiple of 82200 and 82219