What is the Greatest Common Factor of 90095 and 90115?

Greatest common factor (GCF) of 90095 and 90115 is 5.

GCF(90095,90115) = 5

We will now calculate the prime factors of 90095 and 90115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90095 and 90115.

How to find the GCF of 90095 and 90115?

We will first find the prime factorization of 90095 and 90115. After we will calculate the factors of 90095 and 90115 and find the biggest common factor number .

Step-1: Prime Factorization of 90095

Prime factors of 90095 are 5, 37, 487. Prime factorization of 90095 in exponential form is:

90095 = 5¹ × 37¹ × 487¹

Step-2: Prime Factorization of 90115

Prime factors of 90115 are 5, 67, 269. Prime factorization of 90115 in exponential form is:

90115 = 5¹ × 67¹ × 269¹

Step-3: Factors of 90095

List of positive integer factors of 90095 that divides 90095 without a remainder.

1, 5, 37, 185, 487, 2435, 18019

Step-4: Factors of 90115

List of positive integer factors of 90115 that divides 90095 without a remainder.

1, 5, 67, 269, 335, 1345, 18023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90095 and 90115. The biggest common factor number is the GCF number.
So the greatest common factor 90095 and 90115 is 5.

Also check out the Least Common Multiple of 90095 and 90115