What is the Greatest Common Factor of 19008 and 19024?

Greatest common factor (GCF) of 19008 and 19024 is 16.

GCF(19008,19024) = 16

We will now calculate the prime factors of 19008 and 19024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19008 and 19024.

How to find the GCF of 19008 and 19024?

We will first find the prime factorization of 19008 and 19024. After we will calculate the factors of 19008 and 19024 and find the biggest common factor number .

Step-1: Prime Factorization of 19008

Prime factors of 19008 are 2, 3, 11. Prime factorization of 19008 in exponential form is:

19008 = 2⁶ × 3³ × 11¹

Step-2: 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-3: Factors of 19008

List of positive integer factors of 19008 that divides 19008 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 64, 66, 72, 88, 96, 99, 108, 132, 144, 176, 192, 198, 216, 264, 288, 297, 352, 396, 432, 528, 576, 594, 704, 792, 864, 1056, 1188, 1584, 1728, 2112, 2376, 3168, 4752, 6336, 9504

Step-4: Factors of 19024

List of positive integer factors of 19024 that divides 19008 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19008 and 19024. The biggest common factor number is the GCF number.
So the greatest common factor 19008 and 19024 is 16.

Also check out the Least Common Multiple of 19008 and 19024