What is the Greatest Common Factor of 19004 and 19008?

Greatest common factor (GCF) of 19004 and 19008 is 4.

GCF(19004,19008) = 4

We will now calculate the prime factors of 19004 and 19008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19004 and 19008.

How to find the GCF of 19004 and 19008?

We will first find the prime factorization of 19004 and 19008. After we will calculate the factors of 19004 and 19008 and find the biggest common factor number .

Step-1: Prime Factorization of 19004

Prime factors of 19004 are 2, 4751. Prime factorization of 19004 in exponential form is:

19004 = 2² × 4751¹

Step-2: 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-3: Factors of 19004

List of positive integer factors of 19004 that divides 19004 without a remainder.

1, 2, 4, 4751, 9502

Step-4: Factors of 19008

List of positive integer factors of 19008 that divides 19004 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19004 and 19008. The biggest common factor number is the GCF number.
So the greatest common factor 19004 and 19008 is 4.

Also check out the Least Common Multiple of 19004 and 19008