What is the Greatest Common Factor of 38800 and 38809?

Greatest common factor (GCF) of 38800 and 38809 is 1.

GCF(38800,38809) = 1

We will now calculate the prime factors of 38800 and 38809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38800 and 38809.

How to find the GCF of 38800 and 38809?

We will first find the prime factorization of 38800 and 38809. After we will calculate the factors of 38800 and 38809 and find the biggest common factor number .

Step-1: Prime Factorization of 38800

Prime factors of 38800 are 2, 5, 97. Prime factorization of 38800 in exponential form is:

38800 = 2⁴ × 5² × 97¹

Step-2: Prime Factorization of 38809

Prime factors of 38809 are 197. Prime factorization of 38809 in exponential form is:

38809 = 197²

Step-3: Factors of 38800

List of positive integer factors of 38800 that divides 38800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 97, 100, 194, 200, 388, 400, 485, 776, 970, 1552, 1940, 2425, 3880, 4850, 7760, 9700, 19400

Step-4: Factors of 38809

List of positive integer factors of 38809 that divides 38800 without a remainder.

1, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38800 and 38809. The biggest common factor number is the GCF number.
So the greatest common factor 38800 and 38809 is 1.

Also check out the Least Common Multiple of 38800 and 38809