What is the Greatest Common Factor of 19328 and 19342?

Greatest common factor (GCF) of 19328 and 19342 is 2.

GCF(19328,19342) = 2

We will now calculate the prime factors of 19328 and 19342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19328 and 19342.

How to find the GCF of 19328 and 19342?

We will first find the prime factorization of 19328 and 19342. After we will calculate the factors of 19328 and 19342 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 19342

Prime factors of 19342 are 2, 19, 509. Prime factorization of 19342 in exponential form is:

19342 = 2¹ × 19¹ × 509¹

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 19342

List of positive integer factors of 19342 that divides 19328 without a remainder.

1, 2, 19, 38, 509, 1018, 9671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19328 and 19342. The biggest common factor number is the GCF number.
So the greatest common factor 19328 and 19342 is 2.

Also check out the Least Common Multiple of 19328 and 19342