What is the Greatest Common Factor of 16235 and 16249?

Greatest common factor (GCF) of 16235 and 16249 is 1.

GCF(16235,16249) = 1

We will now calculate the prime factors of 16235 and 16249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16235 and 16249.

How to find the GCF of 16235 and 16249?

We will first find the prime factorization of 16235 and 16249. After we will calculate the factors of 16235 and 16249 and find the biggest common factor number .

Step-1: Prime Factorization of 16235

Prime factors of 16235 are 5, 17, 191. Prime factorization of 16235 in exponential form is:

16235 = 5¹ × 17¹ × 191¹

Step-2: Prime Factorization of 16249

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

16249 = 16249¹

Step-3: Factors of 16235

List of positive integer factors of 16235 that divides 16235 without a remainder.

1, 5, 17, 85, 191, 955, 3247

Step-4: Factors of 16249

List of positive integer factors of 16249 that divides 16235 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16235 and 16249. The biggest common factor number is the GCF number.
So the greatest common factor 16235 and 16249 is 1.

Also check out the Least Common Multiple of 16235 and 16249