What is the Greatest Common Factor of 10238 and 10256?

Greatest common factor (GCF) of 10238 and 10256 is 2.

GCF(10238,10256) = 2

We will now calculate the prime factors of 10238 and 10256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10238 and 10256.

How to find the GCF of 10238 and 10256?

We will first find the prime factorization of 10238 and 10256. After we will calculate the factors of 10238 and 10256 and find the biggest common factor number .

Step-1: Prime Factorization of 10238

Prime factors of 10238 are 2, 5119. Prime factorization of 10238 in exponential form is:

10238 = 2¹ × 5119¹

Step-2: Prime Factorization of 10256

Prime factors of 10256 are 2, 641. Prime factorization of 10256 in exponential form is:

10256 = 2⁴ × 641¹

Step-3: Factors of 10238

List of positive integer factors of 10238 that divides 10238 without a remainder.

1, 2, 5119

Step-4: Factors of 10256

List of positive integer factors of 10256 that divides 10238 without a remainder.

1, 2, 4, 8, 16, 641, 1282, 2564, 5128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10238 and 10256. The biggest common factor number is the GCF number.
So the greatest common factor 10238 and 10256 is 2.

Also check out the Least Common Multiple of 10238 and 10256