What is the Greatest Common Factor of 90192 and 90200?

Greatest common factor (GCF) of 90192 and 90200 is 8.

GCF(90192,90200) = 8

We will now calculate the prime factors of 90192 and 90200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90192 and 90200.

How to find the GCF of 90192 and 90200?

We will first find the prime factorization of 90192 and 90200. After we will calculate the factors of 90192 and 90200 and find the biggest common factor number .

Step-1: Prime Factorization of 90192

Prime factors of 90192 are 2, 3, 1879. Prime factorization of 90192 in exponential form is:

90192 = 2⁴ × 3¹ × 1879¹

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 90192

List of positive integer factors of 90192 that divides 90192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1879, 3758, 5637, 7516, 11274, 15032, 22548, 30064, 45096

Step-4: Factors of 90200

List of positive integer factors of 90200 that divides 90192 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 90192 and 90200. The biggest common factor number is the GCF number.
So the greatest common factor 90192 and 90200 is 8.

Also check out the Least Common Multiple of 90192 and 90200