What is the Greatest Common Factor of 72200 and 72209?

Greatest common factor (GCF) of 72200 and 72209 is 1.

GCF(72200,72209) = 1

We will now calculate the prime factors of 72200 and 72209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72200 and 72209.

How to find the GCF of 72200 and 72209?

We will first find the prime factorization of 72200 and 72209. After we will calculate the factors of 72200 and 72209 and find the biggest common factor number .

Step-1: Prime Factorization of 72200

Prime factors of 72200 are 2, 5, 19. Prime factorization of 72200 in exponential form is:

72200 = 2³ × 5² × 19²

Step-2: Prime Factorization of 72209

Prime factors of 72209 are 163, 443. Prime factorization of 72209 in exponential form is:

72209 = 163¹ × 443¹

Step-3: Factors of 72200

List of positive integer factors of 72200 that divides 72200 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 361, 380, 475, 722, 760, 950, 1444, 1805, 1900, 2888, 3610, 3800, 7220, 9025, 14440, 18050, 36100

Step-4: Factors of 72209

List of positive integer factors of 72209 that divides 72200 without a remainder.

1, 163, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72200 and 72209. The biggest common factor number is the GCF number.
So the greatest common factor 72200 and 72209 is 1.

Also check out the Least Common Multiple of 72200 and 72209