What is the Greatest Common Factor of 10249 and 10259?

Greatest common factor (GCF) of 10249 and 10259 is 1.

GCF(10249,10259) = 1

We will now calculate the prime factors of 10249 and 10259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10249 and 10259.

How to find the GCF of 10249 and 10259?

We will first find the prime factorization of 10249 and 10259. After we will calculate the factors of 10249 and 10259 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 10259

Prime factors of 10259 are 10259. Prime factorization of 10259 in exponential form is:

10259 = 10259¹

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 10259

List of positive integer factors of 10259 that divides 10249 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10249 and 10259. The biggest common factor number is the GCF number.
So the greatest common factor 10249 and 10259 is 1.

Also check out the Least Common Multiple of 10249 and 10259