What is the Greatest Common Factor of 38226 and 38238?

Greatest common factor (GCF) of 38226 and 38238 is 6.

GCF(38226,38238) = 6

We will now calculate the prime factors of 38226 and 38238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38226 and 38238.

How to find the GCF of 38226 and 38238?

We will first find the prime factorization of 38226 and 38238. After we will calculate the factors of 38226 and 38238 and find the biggest common factor number .

Step-1: Prime Factorization of 38226

Prime factors of 38226 are 2, 3, 23, 277. Prime factorization of 38226 in exponential form is:

38226 = 2¹ × 3¹ × 23¹ × 277¹

Step-2: 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-3: Factors of 38226

List of positive integer factors of 38226 that divides 38226 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 277, 554, 831, 1662, 6371, 12742, 19113

Step-4: Factors of 38238

List of positive integer factors of 38238 that divides 38226 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38226 and 38238. The biggest common factor number is the GCF number.
So the greatest common factor 38226 and 38238 is 6.

Also check out the Least Common Multiple of 38226 and 38238