What is the Greatest Common Factor of 90189 and 90200?

Greatest common factor (GCF) of 90189 and 90200 is 11.

GCF(90189,90200) = 11

We will now calculate the prime factors of 90189 and 90200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90189 and 90200.

How to find the GCF of 90189 and 90200?

We will first find the prime factorization of 90189 and 90200. After we will calculate the factors of 90189 and 90200 and find the biggest common factor number .

Step-1: Prime Factorization of 90189

Prime factors of 90189 are 3, 11, 911. Prime factorization of 90189 in exponential form is:

90189 = 3² × 11¹ × 911¹

Step-2: 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-3: Factors of 90189

List of positive integer factors of 90189 that divides 90189 without a remainder.

1, 3, 9, 11, 33, 99, 911, 2733, 8199, 10021, 30063

Step-4: Factors of 90200

List of positive integer factors of 90200 that divides 90189 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90189 and 90200. The biggest common factor number is the GCF number.
So the greatest common factor 90189 and 90200 is 11.

Also check out the Least Common Multiple of 90189 and 90200