What is the Greatest Common Factor of 16809 and 16827?

Greatest common factor (GCF) of 16809 and 16827 is 3.

GCF(16809,16827) = 3

We will now calculate the prime factors of 16809 and 16827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16809 and 16827.

How to find the GCF of 16809 and 16827?

We will first find the prime factorization of 16809 and 16827. After we will calculate the factors of 16809 and 16827 and find the biggest common factor number .

Step-1: Prime Factorization of 16809

Prime factors of 16809 are 3, 13, 431. Prime factorization of 16809 in exponential form is:

16809 = 3¹ × 13¹ × 431¹

Step-2: Prime Factorization of 16827

Prime factors of 16827 are 3, 71, 79. Prime factorization of 16827 in exponential form is:

16827 = 3¹ × 71¹ × 79¹

Step-3: Factors of 16809

List of positive integer factors of 16809 that divides 16809 without a remainder.

1, 3, 13, 39, 431, 1293, 5603

Step-4: Factors of 16827

List of positive integer factors of 16827 that divides 16809 without a remainder.

1, 3, 71, 79, 213, 237, 5609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16809 and 16827. The biggest common factor number is the GCF number.
So the greatest common factor 16809 and 16827 is 3.

Also check out the Least Common Multiple of 16809 and 16827