What is the Greatest Common Factor of 9165 and 9174?

Greatest common factor (GCF) of 9165 and 9174 is 3.

GCF(9165,9174) = 3

We will now calculate the prime factors of 9165 and 9174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9165 and 9174.

How to find the GCF of 9165 and 9174?

We will first find the prime factorization of 9165 and 9174. After we will calculate the factors of 9165 and 9174 and find the biggest common factor number .

Step-1: Prime Factorization of 9165

Prime factors of 9165 are 3, 5, 13, 47. Prime factorization of 9165 in exponential form is:

9165 = 3¹ × 5¹ × 13¹ × 47¹

Step-2: 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-3: Factors of 9165

List of positive integer factors of 9165 that divides 9165 without a remainder.

1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055

Step-4: Factors of 9174

List of positive integer factors of 9174 that divides 9165 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9165 and 9174. The biggest common factor number is the GCF number.
So the greatest common factor 9165 and 9174 is 3.

Also check out the Least Common Multiple of 9165 and 9174