What is the Greatest Common Factor of 38000 and 38020?

Greatest common factor (GCF) of 38000 and 38020 is 20.

GCF(38000,38020) = 20

We will now calculate the prime factors of 38000 and 38020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38000 and 38020.

How to find the GCF of 38000 and 38020?

We will first find the prime factorization of 38000 and 38020. After we will calculate the factors of 38000 and 38020 and find the biggest common factor number .

Step-1: Prime Factorization of 38000

Prime factors of 38000 are 2, 5, 19. Prime factorization of 38000 in exponential form is:

38000 = 2⁴ × 5³ × 19¹

Step-2: Prime Factorization of 38020

Prime factors of 38020 are 2, 5, 1901. Prime factorization of 38020 in exponential form is:

38020 = 2² × 5¹ × 1901¹

Step-3: Factors of 38000

List of positive integer factors of 38000 that divides 38000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 125, 152, 190, 200, 250, 304, 380, 400, 475, 500, 760, 950, 1000, 1520, 1900, 2000, 2375, 3800, 4750, 7600, 9500, 19000

Step-4: Factors of 38020

List of positive integer factors of 38020 that divides 38000 without a remainder.

1, 2, 4, 5, 10, 20, 1901, 3802, 7604, 9505, 19010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38000 and 38020. The biggest common factor number is the GCF number.
So the greatest common factor 38000 and 38020 is 20.

Also check out the Least Common Multiple of 38000 and 38020