What is the Greatest Common Factor of 90180 and 90193?

Greatest common factor (GCF) of 90180 and 90193 is 1.

GCF(90180,90193) = 1

We will now calculate the prime factors of 90180 and 90193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90180 and 90193.

How to find the GCF of 90180 and 90193?

We will first find the prime factorization of 90180 and 90193. After we will calculate the factors of 90180 and 90193 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 90193

Prime factors of 90193 are 19, 47, 101. Prime factorization of 90193 in exponential form is:

90193 = 19¹ × 47¹ × 101¹

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 90193

List of positive integer factors of 90193 that divides 90180 without a remainder.

1, 19, 47, 101, 893, 1919, 4747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90180 and 90193. The biggest common factor number is the GCF number.
So the greatest common factor 90180 and 90193 is 1.

Also check out the Least Common Multiple of 90180 and 90193