What is the Greatest Common Factor of 9296 and 9309?

Greatest common factor (GCF) of 9296 and 9309 is 1.

GCF(9296,9309) = 1

We will now calculate the prime factors of 9296 and 9309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9296 and 9309.

How to find the GCF of 9296 and 9309?

We will first find the prime factorization of 9296 and 9309. After we will calculate the factors of 9296 and 9309 and find the biggest common factor number .

Step-1: Prime Factorization of 9296

Prime factors of 9296 are 2, 7, 83. Prime factorization of 9296 in exponential form is:

9296 = 2⁴ × 7¹ × 83¹

Step-2: Prime Factorization of 9309

Prime factors of 9309 are 3, 29, 107. Prime factorization of 9309 in exponential form is:

9309 = 3¹ × 29¹ × 107¹

Step-3: Factors of 9296

List of positive integer factors of 9296 that divides 9296 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648

Step-4: Factors of 9309

List of positive integer factors of 9309 that divides 9296 without a remainder.

1, 3, 29, 87, 107, 321, 3103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9296 and 9309. The biggest common factor number is the GCF number.
So the greatest common factor 9296 and 9309 is 1.

Also check out the Least Common Multiple of 9296 and 9309