What is the Greatest Common Factor of 90190 and 90205?

Greatest common factor (GCF) of 90190 and 90205 is 5.

GCF(90190,90205) = 5

We will now calculate the prime factors of 90190 and 90205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90190 and 90205.

How to find the GCF of 90190 and 90205?

We will first find the prime factorization of 90190 and 90205. After we will calculate the factors of 90190 and 90205 and find the biggest common factor number .

Step-1: Prime Factorization of 90190

Prime factors of 90190 are 2, 5, 29, 311. Prime factorization of 90190 in exponential form is:

90190 = 2¹ × 5¹ × 29¹ × 311¹

Step-2: Prime Factorization of 90205

Prime factors of 90205 are 5, 18041. Prime factorization of 90205 in exponential form is:

90205 = 5¹ × 18041¹

Step-3: Factors of 90190

List of positive integer factors of 90190 that divides 90190 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 311, 622, 1555, 3110, 9019, 18038, 45095

Step-4: Factors of 90205

List of positive integer factors of 90205 that divides 90190 without a remainder.

1, 5, 18041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90190 and 90205. The biggest common factor number is the GCF number.
So the greatest common factor 90190 and 90205 is 5.

Also check out the Least Common Multiple of 90190 and 90205