What is the Greatest Common Factor of 90396 and 90411?

Greatest common factor (GCF) of 90396 and 90411 is 3.

GCF(90396,90411) = 3

We will now calculate the prime factors of 90396 and 90411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90396 and 90411.

How to find the GCF of 90396 and 90411?

We will first find the prime factorization of 90396 and 90411. After we will calculate the factors of 90396 and 90411 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 90411

Prime factors of 90411 are 3, 30137. Prime factorization of 90411 in exponential form is:

90411 = 3¹ × 30137¹

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 90411

List of positive integer factors of 90411 that divides 90396 without a remainder.

1, 3, 30137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90396 and 90411. The biggest common factor number is the GCF number.
So the greatest common factor 90396 and 90411 is 3.

Also check out the Least Common Multiple of 90396 and 90411