What is the Greatest Common Factor of 19000 and 19010?

Greatest common factor (GCF) of 19000 and 19010 is 10.

GCF(19000,19010) = 10

We will now calculate the prime factors of 19000 and 19010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19000 and 19010.

How to find the GCF of 19000 and 19010?

We will first find the prime factorization of 19000 and 19010. After we will calculate the factors of 19000 and 19010 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 19010

Prime factors of 19010 are 2, 5, 1901. Prime factorization of 19010 in exponential form is:

19010 = 2¹ × 5¹ × 1901¹

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 19010

List of positive integer factors of 19010 that divides 19000 without a remainder.

1, 2, 5, 10, 1901, 3802, 9505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19000 and 19010. The biggest common factor number is the GCF number.
So the greatest common factor 19000 and 19010 is 10.

Also check out the Least Common Multiple of 19000 and 19010