What is the Greatest Common Factor of 90396 and 90406?

Greatest common factor (GCF) of 90396 and 90406 is 2.

GCF(90396,90406) = 2

We will now calculate the prime factors of 90396 and 90406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90396 and 90406.

How to find the GCF of 90396 and 90406?

We will first find the prime factorization of 90396 and 90406. After we will calculate the factors of 90396 and 90406 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 90406

Prime factors of 90406 are 2, 17, 2659. Prime factorization of 90406 in exponential form is:

90406 = 2¹ × 17¹ × 2659¹

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 90406

List of positive integer factors of 90406 that divides 90396 without a remainder.

1, 2, 17, 34, 2659, 5318, 45203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90396 and 90406. The biggest common factor number is the GCF number.
So the greatest common factor 90396 and 90406 is 2.

Also check out the Least Common Multiple of 90396 and 90406