What is the Greatest Common Factor of 9306 and 9319?

Greatest common factor (GCF) of 9306 and 9319 is 1.

GCF(9306,9319) = 1

We will now calculate the prime factors of 9306 and 9319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9306 and 9319.

How to find the GCF of 9306 and 9319?

We will first find the prime factorization of 9306 and 9319. After we will calculate the factors of 9306 and 9319 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 9319

Prime factors of 9319 are 9319. Prime factorization of 9319 in exponential form is:

9319 = 9319¹

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 9319

List of positive integer factors of 9319 that divides 9306 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9306 and 9319. The biggest common factor number is the GCF number.
So the greatest common factor 9306 and 9319 is 1.

Also check out the Least Common Multiple of 9306 and 9319