What is the Greatest Common Factor of 10240 and 10252?

Greatest common factor (GCF) of 10240 and 10252 is 4.

GCF(10240,10252) = 4

We will now calculate the prime factors of 10240 and 10252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10240 and 10252.

How to find the GCF of 10240 and 10252?

We will first find the prime factorization of 10240 and 10252. After we will calculate the factors of 10240 and 10252 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 10252

Prime factors of 10252 are 2, 11, 233. Prime factorization of 10252 in exponential form is:

10252 = 2² × 11¹ × 233¹

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 10252

List of positive integer factors of 10252 that divides 10240 without a remainder.

1, 2, 4, 11, 22, 44, 233, 466, 932, 2563, 5126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10240 and 10252. The biggest common factor number is the GCF number.
So the greatest common factor 10240 and 10252 is 4.

Also check out the Least Common Multiple of 10240 and 10252