What is the Greatest Common Factor of 90188 and 90200?

Greatest common factor (GCF) of 90188 and 90200 is 4.

GCF(90188,90200) = 4

We will now calculate the prime factors of 90188 and 90200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90188 and 90200.

How to find the GCF of 90188 and 90200?

We will first find the prime factorization of 90188 and 90200. After we will calculate the factors of 90188 and 90200 and find the biggest common factor number .

Step-1: Prime Factorization of 90188

Prime factors of 90188 are 2, 7, 3221. Prime factorization of 90188 in exponential form is:

90188 = 2² × 7¹ × 3221¹

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 90188

List of positive integer factors of 90188 that divides 90188 without a remainder.

1, 2, 4, 7, 14, 28, 3221, 6442, 12884, 22547, 45094

Step-4: Factors of 90200

List of positive integer factors of 90200 that divides 90188 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 90188 and 90200. The biggest common factor number is the GCF number.
So the greatest common factor 90188 and 90200 is 4.

Also check out the Least Common Multiple of 90188 and 90200