What is the Greatest Common Factor of 19374 and 19389?

Greatest common factor (GCF) of 19374 and 19389 is 3.

GCF(19374,19389) = 3

We will now calculate the prime factors of 19374 and 19389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19374 and 19389.

How to find the GCF of 19374 and 19389?

We will first find the prime factorization of 19374 and 19389. After we will calculate the factors of 19374 and 19389 and find the biggest common factor number .

Step-1: Prime Factorization of 19374

Prime factors of 19374 are 2, 3, 3229. Prime factorization of 19374 in exponential form is:

19374 = 2¹ × 3¹ × 3229¹

Step-2: Prime Factorization of 19389

Prime factors of 19389 are 3, 23, 281. Prime factorization of 19389 in exponential form is:

19389 = 3¹ × 23¹ × 281¹

Step-3: Factors of 19374

List of positive integer factors of 19374 that divides 19374 without a remainder.

1, 2, 3, 6, 3229, 6458, 9687

Step-4: Factors of 19389

List of positive integer factors of 19389 that divides 19374 without a remainder.

1, 3, 23, 69, 281, 843, 6463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19374 and 19389. The biggest common factor number is the GCF number.
So the greatest common factor 19374 and 19389 is 3.

Also check out the Least Common Multiple of 19374 and 19389