What is the Greatest Common Factor of 7374 and 7389?

Greatest common factor (GCF) of 7374 and 7389 is 3.

GCF(7374,7389) = 3

We will now calculate the prime factors of 7374 and 7389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7374 and 7389.

How to find the GCF of 7374 and 7389?

We will first find the prime factorization of 7374 and 7389. After we will calculate the factors of 7374 and 7389 and find the biggest common factor number .

Step-1: Prime Factorization of 7374

Prime factors of 7374 are 2, 3, 1229. Prime factorization of 7374 in exponential form is:

7374 = 2¹ × 3¹ × 1229¹

Step-2: Prime Factorization of 7389

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

7389 = 3² × 821¹

Step-3: Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1, 2, 3, 6, 1229, 2458, 3687

Step-4: Factors of 7389

List of positive integer factors of 7389 that divides 7374 without a remainder.

1, 3, 9, 821, 2463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7374 and 7389. The biggest common factor number is the GCF number.
So the greatest common factor 7374 and 7389 is 3.

Also check out the Least Common Multiple of 7374 and 7389