What is the Greatest Common Factor of 9152 and 9165?

Greatest common factor (GCF) of 9152 and 9165 is 13.

GCF(9152,9165) = 13

We will now calculate the prime factors of 9152 and 9165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9152 and 9165.

How to find the GCF of 9152 and 9165?

We will first find the prime factorization of 9152 and 9165. After we will calculate the factors of 9152 and 9165 and find the biggest common factor number .

Step-1: Prime Factorization of 9152

Prime factors of 9152 are 2, 11, 13. Prime factorization of 9152 in exponential form is:

9152 = 2⁶ × 11¹ × 13¹

Step-2: 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-3: Factors of 9152

List of positive integer factors of 9152 that divides 9152 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576

Step-4: Factors of 9165

List of positive integer factors of 9165 that divides 9152 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9152 and 9165. The biggest common factor number is the GCF number.
So the greatest common factor 9152 and 9165 is 13.

Also check out the Least Common Multiple of 9152 and 9165