What is the Greatest Common Factor of 7312 and 7326?

Greatest common factor (GCF) of 7312 and 7326 is 2.

GCF(7312,7326) = 2

We will now calculate the prime factors of 7312 and 7326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7312 and 7326.

How to find the GCF of 7312 and 7326?

We will first find the prime factorization of 7312 and 7326. After we will calculate the factors of 7312 and 7326 and find the biggest common factor number .

Step-1: Prime Factorization of 7312

Prime factors of 7312 are 2, 457. Prime factorization of 7312 in exponential form is:

7312 = 2⁴ × 457¹

Step-2: Prime Factorization of 7326

Prime factors of 7326 are 2, 3, 11, 37. Prime factorization of 7326 in exponential form is:

7326 = 2¹ × 3² × 11¹ × 37¹

Step-3: Factors of 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1, 2, 4, 8, 16, 457, 914, 1828, 3656

Step-4: Factors of 7326

List of positive integer factors of 7326 that divides 7312 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7312 and 7326. The biggest common factor number is the GCF number.
So the greatest common factor 7312 and 7326 is 2.

Also check out the Least Common Multiple of 7312 and 7326