What is the Greatest Common Factor of 38238 and 38256?

Greatest common factor (GCF) of 38238 and 38256 is 6.

GCF(38238,38256) = 6

We will now calculate the prime factors of 38238 and 38256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38238 and 38256.

How to find the GCF of 38238 and 38256?

We will first find the prime factorization of 38238 and 38256. After we will calculate the factors of 38238 and 38256 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 38256

Prime factors of 38256 are 2, 3, 797. Prime factorization of 38256 in exponential form is:

38256 = 2⁴ × 3¹ × 797¹

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 38256

List of positive integer factors of 38256 that divides 38238 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 797, 1594, 2391, 3188, 4782, 6376, 9564, 12752, 19128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38238 and 38256. The biggest common factor number is the GCF number.
So the greatest common factor 38238 and 38256 is 6.

Also check out the Least Common Multiple of 38238 and 38256