What is the Greatest Common Factor of 7323 and 7338?

Greatest common factor (GCF) of 7323 and 7338 is 3.

GCF(7323,7338) = 3

We will now calculate the prime factors of 7323 and 7338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7323 and 7338.

How to find the GCF of 7323 and 7338?

We will first find the prime factorization of 7323 and 7338. After we will calculate the factors of 7323 and 7338 and find the biggest common factor number .

Step-1: Prime Factorization of 7323

Prime factors of 7323 are 3, 2441. Prime factorization of 7323 in exponential form is:

7323 = 3¹ × 2441¹

Step-2: Prime Factorization of 7338

Prime factors of 7338 are 2, 3, 1223. Prime factorization of 7338 in exponential form is:

7338 = 2¹ × 3¹ × 1223¹

Step-3: Factors of 7323

List of positive integer factors of 7323 that divides 7323 without a remainder.

1, 3, 2441

Step-4: Factors of 7338

List of positive integer factors of 7338 that divides 7323 without a remainder.

1, 2, 3, 6, 1223, 2446, 3669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7323 and 7338. The biggest common factor number is the GCF number.
So the greatest common factor 7323 and 7338 is 3.

Also check out the Least Common Multiple of 7323 and 7338