What is the Greatest Common Factor of 10249 and 10256?

Greatest common factor (GCF) of 10249 and 10256 is 1.

GCF(10249,10256) = 1

We will now calculate the prime factors of 10249 and 10256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10249 and 10256.

How to find the GCF of 10249 and 10256?

We will first find the prime factorization of 10249 and 10256. After we will calculate the factors of 10249 and 10256 and find the biggest common factor number .

Step-1: Prime Factorization of 10249

Prime factors of 10249 are 37, 277. Prime factorization of 10249 in exponential form is:

10249 = 37¹ × 277¹

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 10249

List of positive integer factors of 10249 that divides 10249 without a remainder.

1, 37, 277

Step-4: Factors of 10256

List of positive integer factors of 10256 that divides 10249 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 10249 and 10256. The biggest common factor number is the GCF number.
So the greatest common factor 10249 and 10256 is 1.

Also check out the Least Common Multiple of 10249 and 10256