What is the Greatest Common Factor of 9174 and 9186?

Greatest common factor (GCF) of 9174 and 9186 is 6.

GCF(9174,9186) = 6

We will now calculate the prime factors of 9174 and 9186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9174 and 9186.

How to find the GCF of 9174 and 9186?

We will first find the prime factorization of 9174 and 9186. After we will calculate the factors of 9174 and 9186 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 9186

Prime factors of 9186 are 2, 3, 1531. Prime factorization of 9186 in exponential form is:

9186 = 2¹ × 3¹ × 1531¹

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 9186

List of positive integer factors of 9186 that divides 9174 without a remainder.

1, 2, 3, 6, 1531, 3062, 4593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9174 and 9186. The biggest common factor number is the GCF number.
So the greatest common factor 9174 and 9186 is 6.

Also check out the Least Common Multiple of 9174 and 9186