What is the Greatest Common Factor of 38396 and 38404?

Greatest common factor (GCF) of 38396 and 38404 is 4.

GCF(38396,38404) = 4

We will now calculate the prime factors of 38396 and 38404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38396 and 38404.

How to find the GCF of 38396 and 38404?

We will first find the prime factorization of 38396 and 38404. After we will calculate the factors of 38396 and 38404 and find the biggest common factor number .

Step-1: Prime Factorization of 38396

Prime factors of 38396 are 2, 29, 331. Prime factorization of 38396 in exponential form is:

38396 = 2² × 29¹ × 331¹

Step-2: Prime Factorization of 38404

Prime factors of 38404 are 2, 9601. Prime factorization of 38404 in exponential form is:

38404 = 2² × 9601¹

Step-3: Factors of 38396

List of positive integer factors of 38396 that divides 38396 without a remainder.

1, 2, 4, 29, 58, 116, 331, 662, 1324, 9599, 19198

Step-4: Factors of 38404

List of positive integer factors of 38404 that divides 38396 without a remainder.

1, 2, 4, 9601, 19202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38396 and 38404. The biggest common factor number is the GCF number.
So the greatest common factor 38396 and 38404 is 4.

Also check out the Least Common Multiple of 38396 and 38404