What is the Greatest Common Factor of 20800 and 20817?

Greatest common factor (GCF) of 20800 and 20817 is 1.

GCF(20800,20817) = 1

We will now calculate the prime factors of 20800 and 20817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20800 and 20817.

How to find the GCF of 20800 and 20817?

We will first find the prime factorization of 20800 and 20817. After we will calculate the factors of 20800 and 20817 and find the biggest common factor number .

Step-1: Prime Factorization of 20800

Prime factors of 20800 are 2, 5, 13. Prime factorization of 20800 in exponential form is:

20800 = 2⁶ × 5² × 13¹

Step-2: Prime Factorization of 20817

Prime factors of 20817 are 3, 257. Prime factorization of 20817 in exponential form is:

20817 = 3⁴ × 257¹

Step-3: Factors of 20800

List of positive integer factors of 20800 that divides 20800 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 64, 65, 80, 100, 104, 130, 160, 200, 208, 260, 320, 325, 400, 416, 520, 650, 800, 832, 1040, 1300, 1600, 2080, 2600, 4160, 5200, 10400

Step-4: Factors of 20817

List of positive integer factors of 20817 that divides 20800 without a remainder.

1, 3, 9, 27, 81, 257, 771, 2313, 6939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20800 and 20817. The biggest common factor number is the GCF number.
So the greatest common factor 20800 and 20817 is 1.

Also check out the Least Common Multiple of 20800 and 20817