What is the Greatest Common Factor of 90165 and 90175?

Greatest common factor (GCF) of 90165 and 90175 is 5.

GCF(90165,90175) = 5

We will now calculate the prime factors of 90165 and 90175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90165 and 90175.

How to find the GCF of 90165 and 90175?

We will first find the prime factorization of 90165 and 90175. After we will calculate the factors of 90165 and 90175 and find the biggest common factor number .

Step-1: Prime Factorization of 90165

Prime factors of 90165 are 3, 5, 6011. Prime factorization of 90165 in exponential form is:

90165 = 3¹ × 5¹ × 6011¹

Step-2: Prime Factorization of 90175

Prime factors of 90175 are 5, 3607. Prime factorization of 90175 in exponential form is:

90175 = 5² × 3607¹

Step-3: Factors of 90165

List of positive integer factors of 90165 that divides 90165 without a remainder.

1, 3, 5, 15, 6011, 18033, 30055

Step-4: Factors of 90175

List of positive integer factors of 90175 that divides 90165 without a remainder.

1, 5, 25, 3607, 18035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90165 and 90175. The biggest common factor number is the GCF number.
So the greatest common factor 90165 and 90175 is 5.

Also check out the Least Common Multiple of 90165 and 90175