What is the Greatest Common Factor of 9174 and 9185?

Greatest common factor (GCF) of 9174 and 9185 is 11.

GCF(9174,9185) = 11

We will now calculate the prime factors of 9174 and 9185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9174 and 9185.

How to find the GCF of 9174 and 9185?

We will first find the prime factorization of 9174 and 9185. After we will calculate the factors of 9174 and 9185 and find the biggest common factor number .

Step-1: Prime Factorization of 9174

Prime factors of 9174 are 2, 3, 11, 139. Prime factorization of 9174 in exponential form is:

9174 = 2¹ × 3¹ × 11¹ × 139¹

Step-2: Prime Factorization of 9185

Prime factors of 9185 are 5, 11, 167. Prime factorization of 9185 in exponential form is:

9185 = 5¹ × 11¹ × 167¹

Step-3: Factors of 9174

List of positive integer factors of 9174 that divides 9174 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587

Step-4: Factors of 9185

List of positive integer factors of 9185 that divides 9174 without a remainder.

1, 5, 11, 55, 167, 835, 1837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9174 and 9185. The biggest common factor number is the GCF number.
So the greatest common factor 9174 and 9185 is 11.

Also check out the Least Common Multiple of 9174 and 9185