What is the Greatest Common Factor of 38408 and 38414?

Greatest common factor (GCF) of 38408 and 38414 is 2.

GCF(38408,38414) = 2

We will now calculate the prime factors of 38408 and 38414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38408 and 38414.

How to find the GCF of 38408 and 38414?

We will first find the prime factorization of 38408 and 38414. After we will calculate the factors of 38408 and 38414 and find the biggest common factor number .

Step-1: Prime Factorization of 38408

Prime factors of 38408 are 2, 4801. Prime factorization of 38408 in exponential form is:

38408 = 2³ × 4801¹

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 38408

List of positive integer factors of 38408 that divides 38408 without a remainder.

1, 2, 4, 8, 4801, 9602, 19204

Step-4: Factors of 38414

List of positive integer factors of 38414 that divides 38408 without a remainder.

1, 2, 19207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38408 and 38414. The biggest common factor number is the GCF number.
So the greatest common factor 38408 and 38414 is 2.

Also check out the Least Common Multiple of 38408 and 38414