What is the Greatest Common Factor of 7326 and 7335?

Greatest common factor (GCF) of 7326 and 7335 is 9.

GCF(7326,7335) = 9

We will now calculate the prime factors of 7326 and 7335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7326 and 7335.

How to find the GCF of 7326 and 7335?

We will first find the prime factorization of 7326 and 7335. After we will calculate the factors of 7326 and 7335 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7335

Prime factors of 7335 are 3, 5, 163. Prime factorization of 7335 in exponential form is:

7335 = 3² × 5¹ × 163¹

Step-3: Factors of 7326

List of positive integer factors of 7326 that divides 7326 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

Step-4: Factors of 7335

List of positive integer factors of 7335 that divides 7326 without a remainder.

1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7326 and 7335. The biggest common factor number is the GCF number.
So the greatest common factor 7326 and 7335 is 9.

Also check out the Least Common Multiple of 7326 and 7335