What is the Greatest Common Factor of 7296 and 7308?

Greatest common factor (GCF) of 7296 and 7308 is 12.

GCF(7296,7308) = 12

We will now calculate the prime factors of 7296 and 7308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7296 and 7308.

How to find the GCF of 7296 and 7308?

We will first find the prime factorization of 7296 and 7308. After we will calculate the factors of 7296 and 7308 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 7308

Prime factors of 7308 are 2, 3, 7, 29. Prime factorization of 7308 in exponential form is:

7308 = 2² × 3² × 7¹ × 29¹

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 7308

List of positive integer factors of 7308 that divides 7296 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7296 and 7308. The biggest common factor number is the GCF number.
So the greatest common factor 7296 and 7308 is 12.

Also check out the Least Common Multiple of 7296 and 7308