What is the Greatest Common Factor of 19024 and 19037?

Greatest common factor (GCF) of 19024 and 19037 is 1.

GCF(19024,19037) = 1

We will now calculate the prime factors of 19024 and 19037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19024 and 19037.

How to find the GCF of 19024 and 19037?

We will first find the prime factorization of 19024 and 19037. After we will calculate the factors of 19024 and 19037 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 19037

Prime factors of 19037 are 19037. Prime factorization of 19037 in exponential form is:

19037 = 19037¹

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 19037

List of positive integer factors of 19037 that divides 19024 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19024 and 19037. The biggest common factor number is the GCF number.
So the greatest common factor 19024 and 19037 is 1.

Also check out the Least Common Multiple of 19024 and 19037