What is the Greatest Common Factor of 19024 and 19034?

Greatest common factor (GCF) of 19024 and 19034 is 2.

GCF(19024,19034) = 2

We will now calculate the prime factors of 19024 and 19034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19024 and 19034.

How to find the GCF of 19024 and 19034?

We will first find the prime factorization of 19024 and 19034. After we will calculate the factors of 19024 and 19034 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 19034

Prime factors of 19034 are 2, 31, 307. Prime factorization of 19034 in exponential form is:

19034 = 2¹ × 31¹ × 307¹

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 19034

List of positive integer factors of 19034 that divides 19024 without a remainder.

1, 2, 31, 62, 307, 614, 9517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19024 and 19034. The biggest common factor number is the GCF number.
So the greatest common factor 19024 and 19034 is 2.

Also check out the Least Common Multiple of 19024 and 19034