What is the Greatest Common Factor of 90180 and 90187?

Greatest common factor (GCF) of 90180 and 90187 is 1.

GCF(90180,90187) = 1

We will now calculate the prime factors of 90180 and 90187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90180 and 90187.

How to find the GCF of 90180 and 90187?

We will first find the prime factorization of 90180 and 90187. After we will calculate the factors of 90180 and 90187 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 90187

Prime factors of 90187 are 90187. Prime factorization of 90187 in exponential form is:

90187 = 90187¹

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 90187

List of positive integer factors of 90187 that divides 90180 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90180 and 90187. The biggest common factor number is the GCF number.
So the greatest common factor 90180 and 90187 is 1.

Also check out the Least Common Multiple of 90180 and 90187