What is the Greatest Common Factor of 90855 and 90875?

Greatest common factor (GCF) of 90855 and 90875 is 5.

GCF(90855,90875) = 5

We will now calculate the prime factors of 90855 and 90875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90855 and 90875.

How to find the GCF of 90855 and 90875?

We will first find the prime factorization of 90855 and 90875. After we will calculate the factors of 90855 and 90875 and find the biggest common factor number .

Step-1: Prime Factorization of 90855

Prime factors of 90855 are 3, 5, 673. Prime factorization of 90855 in exponential form is:

90855 = 3³ × 5¹ × 673¹

Step-2: Prime Factorization of 90875

Prime factors of 90875 are 5, 727. Prime factorization of 90875 in exponential form is:

90875 = 5³ × 727¹

Step-3: Factors of 90855

List of positive integer factors of 90855 that divides 90855 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 673, 2019, 3365, 6057, 10095, 18171, 30285

Step-4: Factors of 90875

List of positive integer factors of 90875 that divides 90855 without a remainder.

1, 5, 25, 125, 727, 3635, 18175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90855 and 90875. The biggest common factor number is the GCF number.
So the greatest common factor 90855 and 90875 is 5.

Also check out the Least Common Multiple of 90855 and 90875