What is the Greatest Common Factor of 38800 and 38807?

Greatest common factor (GCF) of 38800 and 38807 is 1.

GCF(38800,38807) = 1

We will now calculate the prime factors of 38800 and 38807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38800 and 38807.

How to find the GCF of 38800 and 38807?

We will first find the prime factorization of 38800 and 38807. After we will calculate the factors of 38800 and 38807 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 38807

Prime factors of 38807 are 151, 257. Prime factorization of 38807 in exponential form is:

38807 = 151¹ × 257¹

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 38807

List of positive integer factors of 38807 that divides 38800 without a remainder.

1, 151, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38800 and 38807. The biggest common factor number is the GCF number.
So the greatest common factor 38800 and 38807 is 1.

Also check out the Least Common Multiple of 38800 and 38807