What is the Greatest Common Factor of 20823 and 20834?

Greatest common factor (GCF) of 20823 and 20834 is 11.

GCF(20823,20834) = 11

We will now calculate the prime factors of 20823 and 20834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20823 and 20834.

How to find the GCF of 20823 and 20834?

We will first find the prime factorization of 20823 and 20834. After we will calculate the factors of 20823 and 20834 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20834

Prime factors of 20834 are 2, 11, 947. Prime factorization of 20834 in exponential form is:

20834 = 2¹ × 11¹ × 947¹

Step-3: Factors of 20823

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

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

Step-4: Factors of 20834

List of positive integer factors of 20834 that divides 20823 without a remainder.

1, 2, 11, 22, 947, 1894, 10417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20823 and 20834. The biggest common factor number is the GCF number.
So the greatest common factor 20823 and 20834 is 11.

Also check out the Least Common Multiple of 20823 and 20834