What is the Greatest Common Factor of 83200 and 83209?

Greatest common factor (GCF) of 83200 and 83209 is 1.

GCF(83200,83209) = 1

We will now calculate the prime factors of 83200 and 83209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83200 and 83209.

How to find the GCF of 83200 and 83209?

We will first find the prime factorization of 83200 and 83209. After we will calculate the factors of 83200 and 83209 and find the biggest common factor number .

Step-1: Prime Factorization of 83200

Prime factors of 83200 are 2, 5, 13. Prime factorization of 83200 in exponential form is:

83200 = 2⁸ × 5² × 13¹

Step-2: Prime Factorization of 83209

Prime factors of 83209 are 7, 11887. Prime factorization of 83209 in exponential form is:

83209 = 7¹ × 11887¹

Step-3: Factors of 83200

List of positive integer factors of 83200 that divides 83200 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 64, 65, 80, 100, 104, 128, 130, 160, 200, 208, 256, 260, 320, 325, 400, 416, 520, 640, 650, 800, 832, 1040, 1280, 1300, 1600, 1664, 2080, 2600, 3200, 3328, 4160, 5200, 6400, 8320, 10400, 16640, 20800, 41600

Step-4: Factors of 83209

List of positive integer factors of 83209 that divides 83200 without a remainder.

1, 7, 11887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83200 and 83209. The biggest common factor number is the GCF number.
So the greatest common factor 83200 and 83209 is 1.

Also check out the Least Common Multiple of 83200 and 83209