What is the Greatest Common Factor of 90162 and 90180?

Greatest common factor (GCF) of 90162 and 90180 is 18.

GCF(90162,90180) = 18

We will now calculate the prime factors of 90162 and 90180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90162 and 90180.

How to find the GCF of 90162 and 90180?

We will first find the prime factorization of 90162 and 90180. After we will calculate the factors of 90162 and 90180 and find the biggest common factor number .

Step-1: Prime Factorization of 90162

Prime factors of 90162 are 2, 3, 5009. Prime factorization of 90162 in exponential form is:

90162 = 2¹ × 3² × 5009¹

Step-2: 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-3: Factors of 90162

List of positive integer factors of 90162 that divides 90162 without a remainder.

1, 2, 3, 6, 9, 18, 5009, 10018, 15027, 30054, 45081

Step-4: Factors of 90180

List of positive integer factors of 90180 that divides 90162 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90162 and 90180. The biggest common factor number is the GCF number.
So the greatest common factor 90162 and 90180 is 18.

Also check out the Least Common Multiple of 90162 and 90180