What is the Greatest Common Factor of 90174 and 90188?

Greatest common factor (GCF) of 90174 and 90188 is 14.

GCF(90174,90188) = 14

We will now calculate the prime factors of 90174 and 90188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90174 and 90188.

How to find the GCF of 90174 and 90188?

We will first find the prime factorization of 90174 and 90188. After we will calculate the factors of 90174 and 90188 and find the biggest common factor number .

Step-1: Prime Factorization of 90174

Prime factors of 90174 are 2, 3, 7, 19, 113. Prime factorization of 90174 in exponential form is:

90174 = 2¹ × 3¹ × 7¹ × 19¹ × 113¹

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 90174

List of positive integer factors of 90174 that divides 90174 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 113, 114, 133, 226, 266, 339, 399, 678, 791, 798, 1582, 2147, 2373, 4294, 4746, 6441, 12882, 15029, 30058, 45087

Step-4: Factors of 90188

List of positive integer factors of 90188 that divides 90174 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 90174 and 90188. The biggest common factor number is the GCF number.
So the greatest common factor 90174 and 90188 is 14.

Also check out the Least Common Multiple of 90174 and 90188