What is the Greatest Common Factor of 38256 and 38266?

Greatest common factor (GCF) of 38256 and 38266 is 2.

GCF(38256,38266) = 2

We will now calculate the prime factors of 38256 and 38266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38256 and 38266.

How to find the GCF of 38256 and 38266?

We will first find the prime factorization of 38256 and 38266. After we will calculate the factors of 38256 and 38266 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38266

Prime factors of 38266 are 2, 19, 53. Prime factorization of 38266 in exponential form is:

38266 = 2¹ × 19² × 53¹

Step-3: Factors of 38256

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

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

Step-4: Factors of 38266

List of positive integer factors of 38266 that divides 38256 without a remainder.

1, 2, 19, 38, 53, 106, 361, 722, 1007, 2014, 19133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38256 and 38266. The biggest common factor number is the GCF number.
So the greatest common factor 38256 and 38266 is 2.

Also check out the Least Common Multiple of 38256 and 38266