What is the Greatest Common Factor of 19008 and 19019?

Greatest common factor (GCF) of 19008 and 19019 is 11.

GCF(19008,19019) = 11

We will now calculate the prime factors of 19008 and 19019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19008 and 19019.

How to find the GCF of 19008 and 19019?

We will first find the prime factorization of 19008 and 19019. After we will calculate the factors of 19008 and 19019 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 19019

Prime factors of 19019 are 7, 11, 13, 19. Prime factorization of 19019 in exponential form is:

19019 = 7¹ × 11¹ × 13¹ × 19¹

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 19019

List of positive integer factors of 19019 that divides 19008 without a remainder.

1, 7, 11, 13, 19, 77, 91, 133, 143, 209, 247, 1001, 1463, 1729, 2717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19008 and 19019. The biggest common factor number is the GCF number.
So the greatest common factor 19008 and 19019 is 11.

Also check out the Least Common Multiple of 19008 and 19019