What is the Greatest Common Factor of 20817 and 20835?

Greatest common factor (GCF) of 20817 and 20835 is 9.

GCF(20817,20835) = 9

We will now calculate the prime factors of 20817 and 20835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20817 and 20835.

How to find the GCF of 20817 and 20835?

We will first find the prime factorization of 20817 and 20835. After we will calculate the factors of 20817 and 20835 and find the biggest common factor number .

Step-1: Prime Factorization of 20817

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

20817 = 3⁴ × 257¹

Step-2: Prime Factorization of 20835

Prime factors of 20835 are 3, 5, 463. Prime factorization of 20835 in exponential form is:

20835 = 3² × 5¹ × 463¹

Step-3: Factors of 20817

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

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

Step-4: Factors of 20835

List of positive integer factors of 20835 that divides 20817 without a remainder.

1, 3, 5, 9, 15, 45, 463, 1389, 2315, 4167, 6945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20817 and 20835. The biggest common factor number is the GCF number.
So the greatest common factor 20817 and 20835 is 9.

Also check out the Least Common Multiple of 20817 and 20835