What is the Greatest Common Factor of 90081 and 90093?

Greatest common factor (GCF) of 90081 and 90093 is 3.

GCF(90081,90093) = 3

We will now calculate the prime factors of 90081 and 90093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90081 and 90093.

How to find the GCF of 90081 and 90093?

We will first find the prime factorization of 90081 and 90093. After we will calculate the factors of 90081 and 90093 and find the biggest common factor number .

Step-1: Prime Factorization of 90081

Prime factors of 90081 are 3, 10009. Prime factorization of 90081 in exponential form is:

90081 = 3² × 10009¹

Step-2: Prime Factorization of 90093

Prime factors of 90093 are 3, 59, 509. Prime factorization of 90093 in exponential form is:

90093 = 3¹ × 59¹ × 509¹

Step-3: Factors of 90081

List of positive integer factors of 90081 that divides 90081 without a remainder.

1, 3, 9, 10009, 30027

Step-4: Factors of 90093

List of positive integer factors of 90093 that divides 90081 without a remainder.

1, 3, 59, 177, 509, 1527, 30031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90081 and 90093. The biggest common factor number is the GCF number.
So the greatest common factor 90081 and 90093 is 3.

Also check out the Least Common Multiple of 90081 and 90093