What is the Greatest Common Factor of 19024 and 19032?

Greatest common factor (GCF) of 19024 and 19032 is 8.

GCF(19024,19032) = 8

We will now calculate the prime factors of 19024 and 19032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19024 and 19032.

How to find the GCF of 19024 and 19032?

We will first find the prime factorization of 19024 and 19032. After we will calculate the factors of 19024 and 19032 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 19032

Prime factors of 19032 are 2, 3, 13, 61. Prime factorization of 19032 in exponential form is:

19032 = 2³ × 3¹ × 13¹ × 61¹

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 19032

List of positive integer factors of 19032 that divides 19024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 61, 78, 104, 122, 156, 183, 244, 312, 366, 488, 732, 793, 1464, 1586, 2379, 3172, 4758, 6344, 9516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19024 and 19032. The biggest common factor number is the GCF number.
So the greatest common factor 19024 and 19032 is 8.

Also check out the Least Common Multiple of 19024 and 19032