What is the Greatest Common Factor of 10240 and 10255?

Greatest common factor (GCF) of 10240 and 10255 is 5.

GCF(10240,10255) = 5

We will now calculate the prime factors of 10240 and 10255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10240 and 10255.

How to find the GCF of 10240 and 10255?

We will first find the prime factorization of 10240 and 10255. After we will calculate the factors of 10240 and 10255 and find the biggest common factor number .

Step-1: Prime Factorization of 10240

Prime factors of 10240 are 2, 5. Prime factorization of 10240 in exponential form is:

10240 = 2¹¹ × 5¹

Step-2: Prime Factorization of 10255

Prime factors of 10255 are 5, 7, 293. Prime factorization of 10255 in exponential form is:

10255 = 5¹ × 7¹ × 293¹

Step-3: Factors of 10240

List of positive integer factors of 10240 that divides 10240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 5120

Step-4: Factors of 10255

List of positive integer factors of 10255 that divides 10240 without a remainder.

1, 5, 7, 35, 293, 1465, 2051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10240 and 10255. The biggest common factor number is the GCF number.
So the greatest common factor 10240 and 10255 is 5.

Also check out the Least Common Multiple of 10240 and 10255