What is the Greatest Common Factor of 9330 and 9345?

Greatest common factor (GCF) of 9330 and 9345 is 15.

GCF(9330,9345) = 15

We will now calculate the prime factors of 9330 and 9345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9330 and 9345.

How to find the GCF of 9330 and 9345?

We will first find the prime factorization of 9330 and 9345. After we will calculate the factors of 9330 and 9345 and find the biggest common factor number .

Step-1: Prime Factorization of 9330

Prime factors of 9330 are 2, 3, 5, 311. Prime factorization of 9330 in exponential form is:

9330 = 2¹ × 3¹ × 5¹ × 311¹

Step-2: Prime Factorization of 9345

Prime factors of 9345 are 3, 5, 7, 89. Prime factorization of 9345 in exponential form is:

9345 = 3¹ × 5¹ × 7¹ × 89¹

Step-3: Factors of 9330

List of positive integer factors of 9330 that divides 9330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665

Step-4: Factors of 9345

List of positive integer factors of 9345 that divides 9330 without a remainder.

1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9330 and 9345. The biggest common factor number is the GCF number.
So the greatest common factor 9330 and 9345 is 15.

Also check out the Least Common Multiple of 9330 and 9345