What is the Greatest Common Factor of 90200 and 90209?

Greatest common factor (GCF) of 90200 and 90209 is 1.

GCF(90200,90209) = 1

We will now calculate the prime factors of 90200 and 90209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90200 and 90209.

How to find the GCF of 90200 and 90209?

We will first find the prime factorization of 90200 and 90209. After we will calculate the factors of 90200 and 90209 and find the biggest common factor number .

Step-1: Prime Factorization of 90200

Prime factors of 90200 are 2, 5, 11, 41. Prime factorization of 90200 in exponential form is:

90200 = 2³ × 5² × 11¹ × 41¹

Step-2: Prime Factorization of 90209

Prime factors of 90209 are 7, 263. Prime factorization of 90209 in exponential form is:

90209 = 7³ × 263¹

Step-3: Factors of 90200

List of positive integer factors of 90200 that divides 90200 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 41, 44, 50, 55, 82, 88, 100, 110, 164, 200, 205, 220, 275, 328, 410, 440, 451, 550, 820, 902, 1025, 1100, 1640, 1804, 2050, 2200, 2255, 3608, 4100, 4510, 8200, 9020, 11275, 18040, 22550, 45100

Step-4: Factors of 90209

List of positive integer factors of 90209 that divides 90200 without a remainder.

1, 7, 49, 263, 343, 1841, 12887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90200 and 90209. The biggest common factor number is the GCF number.
So the greatest common factor 90200 and 90209 is 1.

Also check out the Least Common Multiple of 90200 and 90209