What is the Greatest Common Factor of 19389 and 19408?

Greatest common factor (GCF) of 19389 and 19408 is 1.

GCF(19389,19408) = 1

We will now calculate the prime factors of 19389 and 19408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19389 and 19408.

How to find the GCF of 19389 and 19408?

We will first find the prime factorization of 19389 and 19408. After we will calculate the factors of 19389 and 19408 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19408

Prime factors of 19408 are 2, 1213. Prime factorization of 19408 in exponential form is:

19408 = 2⁴ × 1213¹

Step-3: Factors of 19389

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

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

Step-4: Factors of 19408

List of positive integer factors of 19408 that divides 19389 without a remainder.

1, 2, 4, 8, 16, 1213, 2426, 4852, 9704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19389 and 19408. The biggest common factor number is the GCF number.
So the greatest common factor 19389 and 19408 is 1.

Also check out the Least Common Multiple of 19389 and 19408