What is the Greatest Common Factor of 9153 and 9165?

Greatest common factor (GCF) of 9153 and 9165 is 3.

GCF(9153,9165) = 3

We will now calculate the prime factors of 9153 and 9165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9153 and 9165.

How to find the GCF of 9153 and 9165?

We will first find the prime factorization of 9153 and 9165. After we will calculate the factors of 9153 and 9165 and find the biggest common factor number .

Step-1: Prime Factorization of 9153

Prime factors of 9153 are 3, 113. Prime factorization of 9153 in exponential form is:

9153 = 3⁴ × 113¹

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 9153

List of positive integer factors of 9153 that divides 9153 without a remainder.

1, 3, 9, 27, 81, 113, 339, 1017, 3051

Step-4: Factors of 9165

List of positive integer factors of 9165 that divides 9153 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 9153 and 9165. The biggest common factor number is the GCF number.
So the greatest common factor 9153 and 9165 is 3.

Also check out the Least Common Multiple of 9153 and 9165