What is the Greatest Common Factor of 7296 and 7310?

Greatest common factor (GCF) of 7296 and 7310 is 2.

GCF(7296,7310) = 2

We will now calculate the prime factors of 7296 and 7310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7296 and 7310.

How to find the GCF of 7296 and 7310?

We will first find the prime factorization of 7296 and 7310. After we will calculate the factors of 7296 and 7310 and find the biggest common factor number .

Step-1: Prime Factorization of 7296

Prime factors of 7296 are 2, 3, 19. Prime factorization of 7296 in exponential form is:

7296 = 2⁷ × 3¹ × 19¹

Step-2: Prime Factorization of 7310

Prime factors of 7310 are 2, 5, 17, 43. Prime factorization of 7310 in exponential form is:

7310 = 2¹ × 5¹ × 17¹ × 43¹

Step-3: Factors of 7296

List of positive integer factors of 7296 that divides 7296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648

Step-4: Factors of 7310

List of positive integer factors of 7310 that divides 7296 without a remainder.

1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7296 and 7310. The biggest common factor number is the GCF number.
So the greatest common factor 7296 and 7310 is 2.

Also check out the Least Common Multiple of 7296 and 7310