What is the Greatest Common Factor of 16806 and 16821?

Greatest common factor (GCF) of 16806 and 16821 is 3.

GCF(16806,16821) = 3

We will now calculate the prime factors of 16806 and 16821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16806 and 16821.

How to find the GCF of 16806 and 16821?

We will first find the prime factorization of 16806 and 16821. After we will calculate the factors of 16806 and 16821 and find the biggest common factor number .

Step-1: Prime Factorization of 16806

Prime factors of 16806 are 2, 3, 2801. Prime factorization of 16806 in exponential form is:

16806 = 2¹ × 3¹ × 2801¹

Step-2: Prime Factorization of 16821

Prime factors of 16821 are 3, 7, 89. Prime factorization of 16821 in exponential form is:

16821 = 3³ × 7¹ × 89¹

Step-3: Factors of 16806

List of positive integer factors of 16806 that divides 16806 without a remainder.

1, 2, 3, 6, 2801, 5602, 8403

Step-4: Factors of 16821

List of positive integer factors of 16821 that divides 16806 without a remainder.

1, 3, 7, 9, 21, 27, 63, 89, 189, 267, 623, 801, 1869, 2403, 5607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16806 and 16821. The biggest common factor number is the GCF number.
So the greatest common factor 16806 and 16821 is 3.

Also check out the Least Common Multiple of 16806 and 16821