What is the Greatest Common Factor of 19024 and 19038?

Greatest common factor (GCF) of 19024 and 19038 is 2.

GCF(19024,19038) = 2

We will now calculate the prime factors of 19024 and 19038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19024 and 19038.

How to find the GCF of 19024 and 19038?

We will first find the prime factorization of 19024 and 19038. After we will calculate the factors of 19024 and 19038 and find the biggest common factor number .

Step-1: Prime Factorization of 19024

Prime factors of 19024 are 2, 29, 41. Prime factorization of 19024 in exponential form is:

19024 = 2⁴ × 29¹ × 41¹

Step-2: Prime Factorization of 19038

Prime factors of 19038 are 2, 3, 19, 167. Prime factorization of 19038 in exponential form is:

19038 = 2¹ × 3¹ × 19¹ × 167¹

Step-3: Factors of 19024

List of positive integer factors of 19024 that divides 19024 without a remainder.

1, 2, 4, 8, 16, 29, 41, 58, 82, 116, 164, 232, 328, 464, 656, 1189, 2378, 4756, 9512

Step-4: Factors of 19038

List of positive integer factors of 19038 that divides 19024 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 167, 334, 501, 1002, 3173, 6346, 9519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19024 and 19038. The biggest common factor number is the GCF number.
So the greatest common factor 19024 and 19038 is 2.

Also check out the Least Common Multiple of 19024 and 19038