What is the Greatest Common Factor of 38794 and 38800?

Greatest common factor (GCF) of 38794 and 38800 is 2.

GCF(38794,38800) = 2

We will now calculate the prime factors of 38794 and 38800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38794 and 38800.

How to find the GCF of 38794 and 38800?

We will first find the prime factorization of 38794 and 38800. After we will calculate the factors of 38794 and 38800 and find the biggest common factor number .

Step-1: Prime Factorization of 38794

Prime factors of 38794 are 2, 7, 17, 163. Prime factorization of 38794 in exponential form is:

38794 = 2¹ × 7¹ × 17¹ × 163¹

Step-2: 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-3: Factors of 38794

List of positive integer factors of 38794 that divides 38794 without a remainder.

1, 2, 7, 14, 17, 34, 119, 163, 238, 326, 1141, 2282, 2771, 5542, 19397

Step-4: Factors of 38800

List of positive integer factors of 38800 that divides 38794 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38794 and 38800. The biggest common factor number is the GCF number.
So the greatest common factor 38794 and 38800 is 2.

Also check out the Least Common Multiple of 38794 and 38800