What is the Greatest Common Factor of 82200 and 82217?

Greatest common factor (GCF) of 82200 and 82217 is 1.

GCF(82200,82217) = 1

We will now calculate the prime factors of 82200 and 82217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82200 and 82217.

How to find the GCF of 82200 and 82217?

We will first find the prime factorization of 82200 and 82217. After we will calculate the factors of 82200 and 82217 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 82217

Prime factors of 82217 are 82217. Prime factorization of 82217 in exponential form is:

82217 = 82217¹

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 82217

List of positive integer factors of 82217 that divides 82200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82200 and 82217. The biggest common factor number is the GCF number.
So the greatest common factor 82200 and 82217 is 1.

Also check out the Least Common Multiple of 82200 and 82217