What is the Greatest Common Factor of 9296 and 9310?

Greatest common factor (GCF) of 9296 and 9310 is 14.

GCF(9296,9310) = 14

We will now calculate the prime factors of 9296 and 9310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9296 and 9310.

How to find the GCF of 9296 and 9310?

We will first find the prime factorization of 9296 and 9310. After we will calculate the factors of 9296 and 9310 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 9310

Prime factors of 9310 are 2, 5, 7, 19. Prime factorization of 9310 in exponential form is:

9310 = 2¹ × 5¹ × 7² × 19¹

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 9310

List of positive integer factors of 9310 that divides 9296 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9296 and 9310. The biggest common factor number is the GCF number.
So the greatest common factor 9296 and 9310 is 14.

Also check out the Least Common Multiple of 9296 and 9310