What is the Greatest Common Factor of 90168 and 90185?

Greatest common factor (GCF) of 90168 and 90185 is 17.

GCF(90168,90185) = 17

We will now calculate the prime factors of 90168 and 90185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90168 and 90185.

How to find the GCF of 90168 and 90185?

We will first find the prime factorization of 90168 and 90185. After we will calculate the factors of 90168 and 90185 and find the biggest common factor number .

Step-1: Prime Factorization of 90168

Prime factors of 90168 are 2, 3, 13, 17. Prime factorization of 90168 in exponential form is:

90168 = 2³ × 3¹ × 13¹ × 17²

Step-2: Prime Factorization of 90185

Prime factors of 90185 are 5, 17, 1061. Prime factorization of 90185 in exponential form is:

90185 = 5¹ × 17¹ × 1061¹

Step-3: Factors of 90168

List of positive integer factors of 90168 that divides 90168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 289, 312, 408, 442, 578, 663, 867, 884, 1156, 1326, 1734, 1768, 2312, 2652, 3468, 3757, 5304, 6936, 7514, 11271, 15028, 22542, 30056, 45084

Step-4: Factors of 90185

List of positive integer factors of 90185 that divides 90168 without a remainder.

1, 5, 17, 85, 1061, 5305, 18037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90168 and 90185. The biggest common factor number is the GCF number.
So the greatest common factor 90168 and 90185 is 17.

Also check out the Least Common Multiple of 90168 and 90185