What is the Greatest Common Factor of 10240 and 10249?

Greatest common factor (GCF) of 10240 and 10249 is 1.

GCF(10240,10249) = 1

We will now calculate the prime factors of 10240 and 10249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10240 and 10249.

How to find the GCF of 10240 and 10249?

We will first find the prime factorization of 10240 and 10249. After we will calculate the factors of 10240 and 10249 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 10249

Prime factors of 10249 are 37, 277. Prime factorization of 10249 in exponential form is:

10249 = 37¹ × 277¹

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 10249

List of positive integer factors of 10249 that divides 10240 without a remainder.

1, 37, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10240 and 10249. The biggest common factor number is the GCF number.
So the greatest common factor 10240 and 10249 is 1.

Also check out the Least Common Multiple of 10240 and 10249