What is the Greatest Common Factor of 9374 and 9389?

Greatest common factor (GCF) of 9374 and 9389 is 1.

GCF(9374,9389) = 1

We will now calculate the prime factors of 9374 and 9389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9374 and 9389.

How to find the GCF of 9374 and 9389?

We will first find the prime factorization of 9374 and 9389. After we will calculate the factors of 9374 and 9389 and find the biggest common factor number .

Step-1: Prime Factorization of 9374

Prime factors of 9374 are 2, 43, 109. Prime factorization of 9374 in exponential form is:

9374 = 2¹ × 43¹ × 109¹

Step-2: Prime Factorization of 9389

Prime factors of 9389 are 41, 229. Prime factorization of 9389 in exponential form is:

9389 = 41¹ × 229¹

Step-3: Factors of 9374

List of positive integer factors of 9374 that divides 9374 without a remainder.

1, 2, 43, 86, 109, 218, 4687

Step-4: Factors of 9389

List of positive integer factors of 9389 that divides 9374 without a remainder.

1, 41, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9374 and 9389. The biggest common factor number is the GCF number.
So the greatest common factor 9374 and 9389 is 1.

Also check out the Least Common Multiple of 9374 and 9389