What is the Greatest Common Factor of 90200 and 90206?

Greatest common factor (GCF) of 90200 and 90206 is 2.

GCF(90200,90206) = 2

We will now calculate the prime factors of 90200 and 90206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90200 and 90206.

How to find the GCF of 90200 and 90206?

We will first find the prime factorization of 90200 and 90206. After we will calculate the factors of 90200 and 90206 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 90206

Prime factors of 90206 are 2, 23, 37, 53. Prime factorization of 90206 in exponential form is:

90206 = 2¹ × 23¹ × 37¹ × 53¹

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 90206

List of positive integer factors of 90206 that divides 90200 without a remainder.

1, 2, 23, 37, 46, 53, 74, 106, 851, 1219, 1702, 1961, 2438, 3922, 45103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90200 and 90206. The biggest common factor number is the GCF number.
So the greatest common factor 90200 and 90206 is 2.

Also check out the Least Common Multiple of 90200 and 90206