What is the Greatest Common Factor of 90392 and 90400?

Greatest common factor (GCF) of 90392 and 90400 is 8.

GCF(90392,90400) = 8

We will now calculate the prime factors of 90392 and 90400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90392 and 90400.

How to find the GCF of 90392 and 90400?

We will first find the prime factorization of 90392 and 90400. After we will calculate the factors of 90392 and 90400 and find the biggest common factor number .

Step-1: Prime Factorization of 90392

Prime factors of 90392 are 2, 11299. Prime factorization of 90392 in exponential form is:

90392 = 2³ × 11299¹

Step-2: Prime Factorization of 90400

Prime factors of 90400 are 2, 5, 113. Prime factorization of 90400 in exponential form is:

90400 = 2⁵ × 5² × 113¹

Step-3: Factors of 90392

List of positive integer factors of 90392 that divides 90392 without a remainder.

1, 2, 4, 8, 11299, 22598, 45196

Step-4: Factors of 90400

List of positive integer factors of 90400 that divides 90392 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 113, 160, 200, 226, 400, 452, 565, 800, 904, 1130, 1808, 2260, 2825, 3616, 4520, 5650, 9040, 11300, 18080, 22600, 45200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90392 and 90400. The biggest common factor number is the GCF number.
So the greatest common factor 90392 and 90400 is 8.

Also check out the Least Common Multiple of 90392 and 90400