What is the Greatest Common Factor of 16249 and 16255?

Greatest common factor (GCF) of 16249 and 16255 is 1.

GCF(16249,16255) = 1

We will now calculate the prime factors of 16249 and 16255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16249 and 16255.

How to find the GCF of 16249 and 16255?

We will first find the prime factorization of 16249 and 16255. After we will calculate the factors of 16249 and 16255 and find the biggest common factor number .

Step-1: Prime Factorization of 16249

Prime factors of 16249 are 16249. Prime factorization of 16249 in exponential form is:

16249 = 16249¹

Step-2: Prime Factorization of 16255

Prime factors of 16255 are 5, 3251. Prime factorization of 16255 in exponential form is:

16255 = 5¹ × 3251¹

Step-3: Factors of 16249

List of positive integer factors of 16249 that divides 16249 without a remainder.

Step-4: Factors of 16255

List of positive integer factors of 16255 that divides 16249 without a remainder.

1, 5, 3251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16249 and 16255. The biggest common factor number is the GCF number.
So the greatest common factor 16249 and 16255 is 1.

Also check out the Least Common Multiple of 16249 and 16255