What is the Greatest Common Factor of 9296 and 9303?

Greatest common factor (GCF) of 9296 and 9303 is 7.

GCF(9296,9303) = 7

We will now calculate the prime factors of 9296 and 9303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9296 and 9303.

How to find the GCF of 9296 and 9303?

We will first find the prime factorization of 9296 and 9303. After we will calculate the factors of 9296 and 9303 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 9303

Prime factors of 9303 are 3, 7, 443. Prime factorization of 9303 in exponential form is:

9303 = 3¹ × 7¹ × 443¹

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 9303

List of positive integer factors of 9303 that divides 9296 without a remainder.

1, 3, 7, 21, 443, 1329, 3101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9296 and 9303. The biggest common factor number is the GCF number.
So the greatest common factor 9296 and 9303 is 7.

Also check out the Least Common Multiple of 9296 and 9303