What is the Greatest Common Factor of 16241 and 16256?

Greatest common factor (GCF) of 16241 and 16256 is 1.

GCF(16241,16256) = 1

We will now calculate the prime factors of 16241 and 16256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16241 and 16256.

How to find the GCF of 16241 and 16256?

We will first find the prime factorization of 16241 and 16256. After we will calculate the factors of 16241 and 16256 and find the biggest common factor number .

Step-1: Prime Factorization of 16241

Prime factors of 16241 are 109, 149. Prime factorization of 16241 in exponential form is:

16241 = 109¹ × 149¹

Step-2: Prime Factorization of 16256

Prime factors of 16256 are 2, 127. Prime factorization of 16256 in exponential form is:

16256 = 2⁷ × 127¹

Step-3: Factors of 16241

List of positive integer factors of 16241 that divides 16241 without a remainder.

1, 109, 149

Step-4: Factors of 16256

List of positive integer factors of 16256 that divides 16241 without a remainder.

1, 2, 4, 8, 16, 32, 64, 127, 128, 254, 508, 1016, 2032, 4064, 8128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16241 and 16256. The biggest common factor number is the GCF number.
So the greatest common factor 16241 and 16256 is 1.

Also check out the Least Common Multiple of 16241 and 16256