What is the Greatest Common Factor of 7389 and 7404?

Greatest common factor (GCF) of 7389 and 7404 is 3.

GCF(7389,7404) = 3

We will now calculate the prime factors of 7389 and 7404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7389 and 7404.

How to find the GCF of 7389 and 7404?

We will first find the prime factorization of 7389 and 7404. After we will calculate the factors of 7389 and 7404 and find the biggest common factor number .

Step-1: Prime Factorization of 7389

Prime factors of 7389 are 3, 821. Prime factorization of 7389 in exponential form is:

7389 = 3² × 821¹

Step-2: Prime Factorization of 7404

Prime factors of 7404 are 2, 3, 617. Prime factorization of 7404 in exponential form is:

7404 = 2² × 3¹ × 617¹

Step-3: Factors of 7389

List of positive integer factors of 7389 that divides 7389 without a remainder.

1, 3, 9, 821, 2463

Step-4: Factors of 7404

List of positive integer factors of 7404 that divides 7389 without a remainder.

1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7389 and 7404. The biggest common factor number is the GCF number.
So the greatest common factor 7389 and 7404 is 3.

Also check out the Least Common Multiple of 7389 and 7404