What is the Greatest Common Factor of 38404 and 38414?

Greatest common factor (GCF) of 38404 and 38414 is 2.

GCF(38404,38414) = 2

We will now calculate the prime factors of 38404 and 38414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38404 and 38414.

How to find the GCF of 38404 and 38414?

We will first find the prime factorization of 38404 and 38414. After we will calculate the factors of 38404 and 38414 and find the biggest common factor number .

Step-1: Prime Factorization of 38404

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

38404 = 2² × 9601¹

Step-2: Prime Factorization of 38414

Prime factors of 38414 are 2, 19207. Prime factorization of 38414 in exponential form is:

38414 = 2¹ × 19207¹

Step-3: Factors of 38404

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

1, 2, 4, 9601, 19202

Step-4: Factors of 38414

List of positive integer factors of 38414 that divides 38404 without a remainder.

1, 2, 19207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38404 and 38414. The biggest common factor number is the GCF number.
So the greatest common factor 38404 and 38414 is 2.

Also check out the Least Common Multiple of 38404 and 38414