What is the Greatest Common Factor of 90900 and 90919?

Greatest common factor (GCF) of 90900 and 90919 is 1.

GCF(90900,90919) = 1

We will now calculate the prime factors of 90900 and 90919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90900 and 90919.

How to find the GCF of 90900 and 90919?

We will first find the prime factorization of 90900 and 90919. After we will calculate the factors of 90900 and 90919 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 90919

Prime factors of 90919 are 23, 59, 67. Prime factorization of 90919 in exponential form is:

90919 = 23¹ × 59¹ × 67¹

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 90919

List of positive integer factors of 90919 that divides 90900 without a remainder.

1, 23, 59, 67, 1357, 1541, 3953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90900 and 90919. The biggest common factor number is the GCF number.
So the greatest common factor 90900 and 90919 is 1.

Also check out the Least Common Multiple of 90900 and 90919