What is the Greatest Common Factor of 38238 and 38254?

Greatest common factor (GCF) of 38238 and 38254 is 2.

GCF(38238,38254) = 2

We will now calculate the prime factors of 38238 and 38254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38238 and 38254.

How to find the GCF of 38238 and 38254?

We will first find the prime factorization of 38238 and 38254. After we will calculate the factors of 38238 and 38254 and find the biggest common factor number .

Step-1: Prime Factorization of 38238

Prime factors of 38238 are 2, 3, 6373. Prime factorization of 38238 in exponential form is:

38238 = 2¹ × 3¹ × 6373¹

Step-2: Prime Factorization of 38254

Prime factors of 38254 are 2, 31, 617. Prime factorization of 38254 in exponential form is:

38254 = 2¹ × 31¹ × 617¹

Step-3: Factors of 38238

List of positive integer factors of 38238 that divides 38238 without a remainder.

1, 2, 3, 6, 6373, 12746, 19119

Step-4: Factors of 38254

List of positive integer factors of 38254 that divides 38238 without a remainder.

1, 2, 31, 62, 617, 1234, 19127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38238 and 38254. The biggest common factor number is the GCF number.
So the greatest common factor 38238 and 38254 is 2.

Also check out the Least Common Multiple of 38238 and 38254