What is the Greatest Common Factor of 90396 and 90400?

Greatest common factor (GCF) of 90396 and 90400 is 4.

GCF(90396,90400) = 4

We will now calculate the prime factors of 90396 and 90400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90396 and 90400.

How to find the GCF of 90396 and 90400?

We will first find the prime factorization of 90396 and 90400. After we will calculate the factors of 90396 and 90400 and find the biggest common factor number .

Step-1: Prime Factorization of 90396

Prime factors of 90396 are 2, 3, 31. Prime factorization of 90396 in exponential form is:

90396 = 2² × 3⁶ × 31¹

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 90396

List of positive integer factors of 90396 that divides 90396 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108, 124, 162, 186, 243, 279, 324, 372, 486, 558, 729, 837, 972, 1116, 1458, 1674, 2511, 2916, 3348, 5022, 7533, 10044, 15066, 22599, 30132, 45198

Step-4: Factors of 90400

List of positive integer factors of 90400 that divides 90396 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 90396 and 90400. The biggest common factor number is the GCF number.
So the greatest common factor 90396 and 90400 is 4.

Also check out the Least Common Multiple of 90396 and 90400