What is the Greatest Common Factor of 18980 and 19000?

Greatest common factor (GCF) of 18980 and 19000 is 20.

GCF(18980,19000) = 20

We will now calculate the prime factors of 18980 and 19000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18980 and 19000.

How to find the GCF of 18980 and 19000?

We will first find the prime factorization of 18980 and 19000. After we will calculate the factors of 18980 and 19000 and find the biggest common factor number .

Step-1: Prime Factorization of 18980

Prime factors of 18980 are 2, 5, 13, 73. Prime factorization of 18980 in exponential form is:

18980 = 2² × 5¹ × 13¹ × 73¹

Step-2: 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-3: Factors of 18980

List of positive integer factors of 18980 that divides 18980 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 73, 130, 146, 260, 292, 365, 730, 949, 1460, 1898, 3796, 4745, 9490

Step-4: Factors of 19000

List of positive integer factors of 19000 that divides 18980 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18980 and 19000. The biggest common factor number is the GCF number.
So the greatest common factor 18980 and 19000 is 20.

Also check out the Least Common Multiple of 18980 and 19000