What is the Greatest Common Factor of 38384 and 38396?

Greatest common factor (GCF) of 38384 and 38396 is 4.

GCF(38384,38396) = 4

We will now calculate the prime factors of 38384 and 38396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38384 and 38396.

How to find the GCF of 38384 and 38396?

We will first find the prime factorization of 38384 and 38396. After we will calculate the factors of 38384 and 38396 and find the biggest common factor number .

Step-1: Prime Factorization of 38384

Prime factors of 38384 are 2, 2399. Prime factorization of 38384 in exponential form is:

38384 = 2⁴ × 2399¹

Step-2: 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-3: Factors of 38384

List of positive integer factors of 38384 that divides 38384 without a remainder.

1, 2, 4, 8, 16, 2399, 4798, 9596, 19192

Step-4: Factors of 38396

List of positive integer factors of 38396 that divides 38384 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38384 and 38396. The biggest common factor number is the GCF number.
So the greatest common factor 38384 and 38396 is 4.

Also check out the Least Common Multiple of 38384 and 38396