What is the Greatest Common Factor of 37993 and 38000?

Greatest common factor (GCF) of 37993 and 38000 is 1.

GCF(37993,38000) = 1

We will now calculate the prime factors of 37993 and 38000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37993 and 38000.

How to find the GCF of 37993 and 38000?

We will first find the prime factorization of 37993 and 38000. After we will calculate the factors of 37993 and 38000 and find the biggest common factor number .

Step-1: Prime Factorization of 37993

Prime factors of 37993 are 37993. Prime factorization of 37993 in exponential form is:

37993 = 37993¹

Step-2: 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-3: Factors of 37993

List of positive integer factors of 37993 that divides 37993 without a remainder.

Step-4: Factors of 38000

List of positive integer factors of 38000 that divides 37993 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37993 and 38000. The biggest common factor number is the GCF number.
So the greatest common factor 37993 and 38000 is 1.

Also check out the Least Common Multiple of 37993 and 38000