What is the Greatest Common Factor of 19000 and 19020?

Greatest common factor (GCF) of 19000 and 19020 is 20.

GCF(19000,19020) = 20

We will now calculate the prime factors of 19000 and 19020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19000 and 19020.

How to find the GCF of 19000 and 19020?

We will first find the prime factorization of 19000 and 19020. After we will calculate the factors of 19000 and 19020 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 19020

Prime factors of 19020 are 2, 3, 5, 317. Prime factorization of 19020 in exponential form is:

19020 = 2² × 3¹ × 5¹ × 317¹

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 19020

List of positive integer factors of 19020 that divides 19000 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 317, 634, 951, 1268, 1585, 1902, 3170, 3804, 4755, 6340, 9510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19000 and 19020. The biggest common factor number is the GCF number.
So the greatest common factor 19000 and 19020 is 20.

Also check out the Least Common Multiple of 19000 and 19020