What is the Greatest Common Factor of 19003 and 19008?

Greatest common factor (GCF) of 19003 and 19008 is 1.

GCF(19003,19008) = 1

We will now calculate the prime factors of 19003 and 19008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19003 and 19008.

How to find the GCF of 19003 and 19008?

We will first find the prime factorization of 19003 and 19008. After we will calculate the factors of 19003 and 19008 and find the biggest common factor number .

Step-1: Prime Factorization of 19003

Prime factors of 19003 are 31, 613. Prime factorization of 19003 in exponential form is:

19003 = 31¹ × 613¹

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 19003

List of positive integer factors of 19003 that divides 19003 without a remainder.

1, 31, 613

Step-4: Factors of 19008

List of positive integer factors of 19008 that divides 19003 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 19003 and 19008. The biggest common factor number is the GCF number.
So the greatest common factor 19003 and 19008 is 1.

Also check out the Least Common Multiple of 19003 and 19008