What is the Greatest Common Factor of 20480 and 20493?

Greatest common factor (GCF) of 20480 and 20493 is 1.

GCF(20480,20493) = 1

We will now calculate the prime factors of 20480 and 20493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20480 and 20493.

How to find the GCF of 20480 and 20493?

We will first find the prime factorization of 20480 and 20493. After we will calculate the factors of 20480 and 20493 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 20493

Prime factors of 20493 are 3, 11, 23. Prime factorization of 20493 in exponential form is:

20493 = 3⁴ × 11¹ × 23¹

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 20493

List of positive integer factors of 20493 that divides 20480 without a remainder.

1, 3, 9, 11, 23, 27, 33, 69, 81, 99, 207, 253, 297, 621, 759, 891, 1863, 2277, 6831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20480 and 20493. The biggest common factor number is the GCF number.
So the greatest common factor 20480 and 20493 is 1.

Also check out the Least Common Multiple of 20480 and 20493