What is the Greatest Common Factor of 90168 and 90188?

Greatest common factor (GCF) of 90168 and 90188 is 4.

GCF(90168,90188) = 4

We will now calculate the prime factors of 90168 and 90188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90168 and 90188.

How to find the GCF of 90168 and 90188?

We will first find the prime factorization of 90168 and 90188. After we will calculate the factors of 90168 and 90188 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 90188

Prime factors of 90188 are 2, 7, 3221. Prime factorization of 90188 in exponential form is:

90188 = 2² × 7¹ × 3221¹

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 90188

List of positive integer factors of 90188 that divides 90168 without a remainder.

1, 2, 4, 7, 14, 28, 3221, 6442, 12884, 22547, 45094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90168 and 90188. The biggest common factor number is the GCF number.
So the greatest common factor 90168 and 90188 is 4.

Also check out the Least Common Multiple of 90168 and 90188