What is the Greatest Common Factor of 38414 and 38424?

Greatest common factor (GCF) of 38414 and 38424 is 2.

GCF(38414,38424) = 2

We will now calculate the prime factors of 38414 and 38424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38414 and 38424.

How to find the GCF of 38414 and 38424?

We will first find the prime factorization of 38414 and 38424. After we will calculate the factors of 38414 and 38424 and find the biggest common factor number .

Step-1: Prime Factorization of 38414

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

38414 = 2¹ × 19207¹

Step-2: Prime Factorization of 38424

Prime factors of 38424 are 2, 3, 1601. Prime factorization of 38424 in exponential form is:

38424 = 2³ × 3¹ × 1601¹

Step-3: Factors of 38414

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

1, 2, 19207

Step-4: Factors of 38424

List of positive integer factors of 38424 that divides 38414 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1601, 3202, 4803, 6404, 9606, 12808, 19212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38414 and 38424. The biggest common factor number is the GCF number.
So the greatest common factor 38414 and 38424 is 2.

Also check out the Least Common Multiple of 38414 and 38424