What is the Greatest Common Factor of 19008 and 19017?

Greatest common factor (GCF) of 19008 and 19017 is 9.

GCF(19008,19017) = 9

We will now calculate the prime factors of 19008 and 19017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19008 and 19017.

How to find the GCF of 19008 and 19017?

We will first find the prime factorization of 19008 and 19017. After we will calculate the factors of 19008 and 19017 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 19017

Prime factors of 19017 are 3, 2113. Prime factorization of 19017 in exponential form is:

19017 = 3² × 2113¹

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 19017

List of positive integer factors of 19017 that divides 19008 without a remainder.

1, 3, 9, 2113, 6339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19008 and 19017. The biggest common factor number is the GCF number.
So the greatest common factor 19008 and 19017 is 9.

Also check out the Least Common Multiple of 19008 and 19017