What is the Greatest Common Factor of 19328 and 19337?

Greatest common factor (GCF) of 19328 and 19337 is 1.

GCF(19328,19337) = 1

We will now calculate the prime factors of 19328 and 19337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19328 and 19337.

How to find the GCF of 19328 and 19337?

We will first find the prime factorization of 19328 and 19337. After we will calculate the factors of 19328 and 19337 and find the biggest common factor number .

Step-1: Prime Factorization of 19328

Prime factors of 19328 are 2, 151. Prime factorization of 19328 in exponential form is:

19328 = 2⁷ × 151¹

Step-2: Prime Factorization of 19337

Prime factors of 19337 are 61, 317. Prime factorization of 19337 in exponential form is:

19337 = 61¹ × 317¹

Step-3: Factors of 19328

List of positive integer factors of 19328 that divides 19328 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 151, 302, 604, 1208, 2416, 4832, 9664

Step-4: Factors of 19337

List of positive integer factors of 19337 that divides 19328 without a remainder.

1, 61, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19328 and 19337. The biggest common factor number is the GCF number.
So the greatest common factor 19328 and 19337 is 1.

Also check out the Least Common Multiple of 19328 and 19337