What is the Greatest Common Factor of 19008 and 19013?

Greatest common factor (GCF) of 19008 and 19013 is 1.

GCF(19008,19013) = 1

We will now calculate the prime factors of 19008 and 19013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19008 and 19013.

How to find the GCF of 19008 and 19013?

We will first find the prime factorization of 19008 and 19013. After we will calculate the factors of 19008 and 19013 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 19013

Prime factors of 19013 are 19013. Prime factorization of 19013 in exponential form is:

19013 = 19013¹

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 19013

List of positive integer factors of 19013 that divides 19008 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19008 and 19013. The biggest common factor number is the GCF number.
So the greatest common factor 19008 and 19013 is 1.

Also check out the Least Common Multiple of 19008 and 19013