What is the Greatest Common Factor of 90900 and 90911?

Greatest common factor (GCF) of 90900 and 90911 is 1.

GCF(90900,90911) = 1

We will now calculate the prime factors of 90900 and 90911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90900 and 90911.

How to find the GCF of 90900 and 90911?

We will first find the prime factorization of 90900 and 90911. After we will calculate the factors of 90900 and 90911 and find the biggest common factor number .

Step-1: Prime Factorization of 90900

Prime factors of 90900 are 2, 3, 5, 101. Prime factorization of 90900 in exponential form is:

90900 = 2² × 3² × 5² × 101¹

Step-2: Prime Factorization of 90911

Prime factors of 90911 are 90911. Prime factorization of 90911 in exponential form is:

90911 = 90911¹

Step-3: Factors of 90900

List of positive integer factors of 90900 that divides 90900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 101, 150, 180, 202, 225, 300, 303, 404, 450, 505, 606, 900, 909, 1010, 1212, 1515, 1818, 2020, 2525, 3030, 3636, 4545, 5050, 6060, 7575, 9090, 10100, 15150, 18180, 22725, 30300, 45450

Step-4: Factors of 90911

List of positive integer factors of 90911 that divides 90900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90900 and 90911. The biggest common factor number is the GCF number.
So the greatest common factor 90900 and 90911 is 1.

Also check out the Least Common Multiple of 90900 and 90911