What is the Greatest Common Factor of 9165 and 9178?

Greatest common factor (GCF) of 9165 and 9178 is 13.

GCF(9165,9178) = 13

We will now calculate the prime factors of 9165 and 9178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9165 and 9178.

How to find the GCF of 9165 and 9178?

We will first find the prime factorization of 9165 and 9178. After we will calculate the factors of 9165 and 9178 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 9178

Prime factors of 9178 are 2, 13, 353. Prime factorization of 9178 in exponential form is:

9178 = 2¹ × 13¹ × 353¹

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 9178

List of positive integer factors of 9178 that divides 9165 without a remainder.

1, 2, 13, 26, 353, 706, 4589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9165 and 9178. The biggest common factor number is the GCF number.
So the greatest common factor 9165 and 9178 is 13.

Also check out the Least Common Multiple of 9165 and 9178