What is the Greatest Common Factor of 19000 and 19007?

Greatest common factor (GCF) of 19000 and 19007 is 1.

GCF(19000,19007) = 1

We will now calculate the prime factors of 19000 and 19007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19000 and 19007.

How to find the GCF of 19000 and 19007?

We will first find the prime factorization of 19000 and 19007. After we will calculate the factors of 19000 and 19007 and find the biggest common factor number .

Step-1: Prime Factorization of 19000

Prime factors of 19000 are 2, 5, 19. Prime factorization of 19000 in exponential form is:

19000 = 2³ × 5³ × 19¹

Step-2: Prime Factorization of 19007

Prime factors of 19007 are 83, 229. Prime factorization of 19007 in exponential form is:

19007 = 83¹ × 229¹

Step-3: Factors of 19000

List of positive integer factors of 19000 that divides 19000 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 125, 152, 190, 200, 250, 380, 475, 500, 760, 950, 1000, 1900, 2375, 3800, 4750, 9500

Step-4: Factors of 19007

List of positive integer factors of 19007 that divides 19000 without a remainder.

1, 83, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19000 and 19007. The biggest common factor number is the GCF number.
So the greatest common factor 19000 and 19007 is 1.

Also check out the Least Common Multiple of 19000 and 19007