What is the Greatest Common Factor of 20817 and 20823?

Greatest common factor (GCF) of 20817 and 20823 is 3.

GCF(20817,20823) = 3

We will now calculate the prime factors of 20817 and 20823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20817 and 20823.

How to find the GCF of 20817 and 20823?

We will first find the prime factorization of 20817 and 20823. After we will calculate the factors of 20817 and 20823 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 20823

Prime factors of 20823 are 3, 11, 631. Prime factorization of 20823 in exponential form is:

20823 = 3¹ × 11¹ × 631¹

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 20823

List of positive integer factors of 20823 that divides 20817 without a remainder.

1, 3, 11, 33, 631, 1893, 6941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20817 and 20823. The biggest common factor number is the GCF number.
So the greatest common factor 20817 and 20823 is 3.

Also check out the Least Common Multiple of 20817 and 20823