What is the Greatest Common Factor of 90160 and 90180?

Greatest common factor (GCF) of 90160 and 90180 is 20.

GCF(90160,90180) = 20

We will now calculate the prime factors of 90160 and 90180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90160 and 90180.

How to find the GCF of 90160 and 90180?

We will first find the prime factorization of 90160 and 90180. After we will calculate the factors of 90160 and 90180 and find the biggest common factor number .

Step-1: Prime Factorization of 90160

Prime factors of 90160 are 2, 5, 7, 23. Prime factorization of 90160 in exponential form is:

90160 = 2⁴ × 5¹ × 7² × 23¹

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 90160

List of positive integer factors of 90160 that divides 90160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 23, 28, 35, 40, 46, 49, 56, 70, 80, 92, 98, 112, 115, 140, 161, 184, 196, 230, 245, 280, 322, 368, 392, 460, 490, 560, 644, 784, 805, 920, 980, 1127, 1288, 1610, 1840, 1960, 2254, 2576, 3220, 3920, 4508, 5635, 6440, 9016, 11270, 12880, 18032, 22540, 45080

Step-4: Factors of 90180

List of positive integer factors of 90180 that divides 90160 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 90160 and 90180. The biggest common factor number is the GCF number.
So the greatest common factor 90160 and 90180 is 20.

Also check out the Least Common Multiple of 90160 and 90180