What is the Greatest Common Factor of 20480 and 20486?

Greatest common factor (GCF) of 20480 and 20486 is 2.

GCF(20480,20486) = 2

We will now calculate the prime factors of 20480 and 20486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20480 and 20486.

How to find the GCF of 20480 and 20486?

We will first find the prime factorization of 20480 and 20486. After we will calculate the factors of 20480 and 20486 and find the biggest common factor number .

Step-1: Prime Factorization of 20480

Prime factors of 20480 are 2, 5. Prime factorization of 20480 in exponential form is:

20480 = 2¹² × 5¹

Step-2: Prime Factorization of 20486

Prime factors of 20486 are 2, 10243. Prime factorization of 20486 in exponential form is:

20486 = 2¹ × 10243¹

Step-3: Factors of 20480

List of positive integer factors of 20480 that divides 20480 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, 4096, 5120, 10240

Step-4: Factors of 20486

List of positive integer factors of 20486 that divides 20480 without a remainder.

1, 2, 10243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20480 and 20486. The biggest common factor number is the GCF number.
So the greatest common factor 20480 and 20486 is 2.

Also check out the Least Common Multiple of 20480 and 20486