What is the Greatest Common Factor of 21786 and 21804?

Greatest common factor (GCF) of 21786 and 21804 is 6.

GCF(21786,21804) = 6

We will now calculate the prime factors of 21786 and 21804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21786 and 21804.

How to find the GCF of 21786 and 21804?

We will first find the prime factorization of 21786 and 21804. After we will calculate the factors of 21786 and 21804 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 21804

Prime factors of 21804 are 2, 3, 23, 79. Prime factorization of 21804 in exponential form is:

21804 = 2² × 3¹ × 23¹ × 79¹

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 21804

List of positive integer factors of 21804 that divides 21786 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 79, 92, 138, 158, 237, 276, 316, 474, 948, 1817, 3634, 5451, 7268, 10902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21786 and 21804. The biggest common factor number is the GCF number.
So the greatest common factor 21786 and 21804 is 6.

Also check out the Least Common Multiple of 21786 and 21804