What is the Greatest Common Factor of 19000 and 19012?

Greatest common factor (GCF) of 19000 and 19012 is 4.

GCF(19000,19012) = 4

We will now calculate the prime factors of 19000 and 19012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19000 and 19012.

How to find the GCF of 19000 and 19012?

We will first find the prime factorization of 19000 and 19012. After we will calculate the factors of 19000 and 19012 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 19012

Prime factors of 19012 are 2, 7, 97. Prime factorization of 19012 in exponential form is:

19012 = 2² × 7² × 97¹

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 19012

List of positive integer factors of 19012 that divides 19000 without a remainder.

1, 2, 4, 7, 14, 28, 49, 97, 98, 194, 196, 388, 679, 1358, 2716, 4753, 9506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19000 and 19012. The biggest common factor number is the GCF number.
So the greatest common factor 19000 and 19012 is 4.

Also check out the Least Common Multiple of 19000 and 19012