What is the Greatest Common Factor of 16240 and 16256?

Greatest common factor (GCF) of 16240 and 16256 is 16.

GCF(16240,16256) = 16

We will now calculate the prime factors of 16240 and 16256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16240 and 16256.

How to find the GCF of 16240 and 16256?

We will first find the prime factorization of 16240 and 16256. After we will calculate the factors of 16240 and 16256 and find the biggest common factor number .

Step-1: Prime Factorization of 16240

Prime factors of 16240 are 2, 5, 7, 29. Prime factorization of 16240 in exponential form is:

16240 = 2⁴ × 5¹ × 7¹ × 29¹

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 16240

List of positive integer factors of 16240 that divides 16240 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 35, 40, 56, 58, 70, 80, 112, 116, 140, 145, 203, 232, 280, 290, 406, 464, 560, 580, 812, 1015, 1160, 1624, 2030, 2320, 3248, 4060, 8120

Step-4: Factors of 16256

List of positive integer factors of 16256 that divides 16240 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 16240 and 16256. The biggest common factor number is the GCF number.
So the greatest common factor 16240 and 16256 is 16.

Also check out the Least Common Multiple of 16240 and 16256