What is the Greatest Common Factor of 21786 and 21806?

Greatest common factor (GCF) of 21786 and 21806 is 2.

GCF(21786,21806) = 2

We will now calculate the prime factors of 21786 and 21806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21786 and 21806.

How to find the GCF of 21786 and 21806?

We will first find the prime factorization of 21786 and 21806. After we will calculate the factors of 21786 and 21806 and find the biggest common factor number .

Step-1: Prime Factorization of 21786

Prime factors of 21786 are 2, 3, 3631. Prime factorization of 21786 in exponential form is:

21786 = 2¹ × 3¹ × 3631¹

Step-2: Prime Factorization of 21806

Prime factors of 21806 are 2, 10903. Prime factorization of 21806 in exponential form is:

21806 = 2¹ × 10903¹

Step-3: Factors of 21786

List of positive integer factors of 21786 that divides 21786 without a remainder.

1, 2, 3, 6, 3631, 7262, 10893

Step-4: Factors of 21806

List of positive integer factors of 21806 that divides 21786 without a remainder.

1, 2, 10903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21786 and 21806. The biggest common factor number is the GCF number.
So the greatest common factor 21786 and 21806 is 2.

Also check out the Least Common Multiple of 21786 and 21806