What is the Greatest Common Factor of 16256 and 16262?

Greatest common factor (GCF) of 16256 and 16262 is 2.

GCF(16256,16262) = 2

We will now calculate the prime factors of 16256 and 16262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16256 and 16262.

How to find the GCF of 16256 and 16262?

We will first find the prime factorization of 16256 and 16262. After we will calculate the factors of 16256 and 16262 and find the biggest common factor number .

Step-1: Prime Factorization of 16256

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

16256 = 2⁷ × 127¹

Step-2: Prime Factorization of 16262

Prime factors of 16262 are 2, 47, 173. Prime factorization of 16262 in exponential form is:

16262 = 2¹ × 47¹ × 173¹

Step-3: Factors of 16256

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

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

Step-4: Factors of 16262

List of positive integer factors of 16262 that divides 16256 without a remainder.

1, 2, 47, 94, 173, 346, 8131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16256 and 16262. The biggest common factor number is the GCF number.
So the greatest common factor 16256 and 16262 is 2.

Also check out the Least Common Multiple of 16256 and 16262