What is the Greatest Common Factor of 90126 and 90133?

Greatest common factor (GCF) of 90126 and 90133 is 1.

GCF(90126,90133) = 1

We will now calculate the prime factors of 90126 and 90133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90126 and 90133.

How to find the GCF of 90126 and 90133?

We will first find the prime factorization of 90126 and 90133. After we will calculate the factors of 90126 and 90133 and find the biggest common factor number .

Step-1: Prime Factorization of 90126

Prime factors of 90126 are 2, 3, 1669. Prime factorization of 90126 in exponential form is:

90126 = 2¹ × 3³ × 1669¹

Step-2: Prime Factorization of 90133

Prime factors of 90133 are 173, 521. Prime factorization of 90133 in exponential form is:

90133 = 173¹ × 521¹

Step-3: Factors of 90126

List of positive integer factors of 90126 that divides 90126 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1669, 3338, 5007, 10014, 15021, 30042, 45063

Step-4: Factors of 90133

List of positive integer factors of 90133 that divides 90126 without a remainder.

1, 173, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90126 and 90133. The biggest common factor number is the GCF number.
So the greatest common factor 90126 and 90133 is 1.

Also check out the Least Common Multiple of 90126 and 90133