What is the Greatest Common Factor of 90180 and 90190?

Greatest common factor (GCF) of 90180 and 90190 is 10.

GCF(90180,90190) = 10

We will now calculate the prime factors of 90180 and 90190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90180 and 90190.

How to find the GCF of 90180 and 90190?

We will first find the prime factorization of 90180 and 90190. After we will calculate the factors of 90180 and 90190 and find the biggest common factor number .

Step-1: Prime Factorization of 90180

Prime factors of 90180 are 2, 3, 5, 167. Prime factorization of 90180 in exponential form is:

90180 = 2² × 3³ × 5¹ × 167¹

Step-2: 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-3: Factors of 90180

List of positive integer factors of 90180 that divides 90180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 167, 180, 270, 334, 501, 540, 668, 835, 1002, 1503, 1670, 2004, 2505, 3006, 3340, 4509, 5010, 6012, 7515, 9018, 10020, 15030, 18036, 22545, 30060, 45090

Step-4: Factors of 90190

List of positive integer factors of 90190 that divides 90180 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90180 and 90190. The biggest common factor number is the GCF number.
So the greatest common factor 90180 and 90190 is 10.

Also check out the Least Common Multiple of 90180 and 90190