What is the Greatest Common Factor of 28249 and 28259?

Greatest common factor (GCF) of 28249 and 28259 is 1.

GCF(28249,28259) = 1

We will now calculate the prime factors of 28249 and 28259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28249 and 28259.

How to find the GCF of 28249 and 28259?

We will first find the prime factorization of 28249 and 28259. After we will calculate the factors of 28249 and 28259 and find the biggest common factor number .

Step-1: Prime Factorization of 28249

Prime factors of 28249 are 13, 41, 53. Prime factorization of 28249 in exponential form is:

28249 = 13¹ × 41¹ × 53¹

Step-2: Prime Factorization of 28259

Prime factors of 28259 are 7, 11, 367. Prime factorization of 28259 in exponential form is:

28259 = 7¹ × 11¹ × 367¹

Step-3: Factors of 28249

List of positive integer factors of 28249 that divides 28249 without a remainder.

1, 13, 41, 53, 533, 689, 2173

Step-4: Factors of 28259

List of positive integer factors of 28259 that divides 28249 without a remainder.

1, 7, 11, 77, 367, 2569, 4037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28249 and 28259. The biggest common factor number is the GCF number.
So the greatest common factor 28249 and 28259 is 1.

Also check out the Least Common Multiple of 28249 and 28259