What is the Greatest Common Factor of 9306 and 9326?

Greatest common factor (GCF) of 9306 and 9326 is 2.

GCF(9306,9326) = 2

We will now calculate the prime factors of 9306 and 9326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9306 and 9326.

How to find the GCF of 9306 and 9326?

We will first find the prime factorization of 9306 and 9326. After we will calculate the factors of 9306 and 9326 and find the biggest common factor number .

Step-1: Prime Factorization of 9306

Prime factors of 9306 are 2, 3, 11, 47. Prime factorization of 9306 in exponential form is:

9306 = 2¹ × 3² × 11¹ × 47¹

Step-2: Prime Factorization of 9326

Prime factors of 9326 are 2, 4663. Prime factorization of 9326 in exponential form is:

9326 = 2¹ × 4663¹

Step-3: Factors of 9306

List of positive integer factors of 9306 that divides 9306 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653

Step-4: Factors of 9326

List of positive integer factors of 9326 that divides 9306 without a remainder.

1, 2, 4663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9306 and 9326. The biggest common factor number is the GCF number.
So the greatest common factor 9306 and 9326 is 2.

Also check out the Least Common Multiple of 9306 and 9326