What is the Greatest Common Factor of 16827 and 16839?

Greatest common factor (GCF) of 16827 and 16839 is 3.

GCF(16827,16839) = 3

We will now calculate the prime factors of 16827 and 16839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16827 and 16839.

How to find the GCF of 16827 and 16839?

We will first find the prime factorization of 16827 and 16839. After we will calculate the factors of 16827 and 16839 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16839

Prime factors of 16839 are 3, 1871. Prime factorization of 16839 in exponential form is:

16839 = 3² × 1871¹

Step-3: Factors of 16827

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

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

Step-4: Factors of 16839

List of positive integer factors of 16839 that divides 16827 without a remainder.

1, 3, 9, 1871, 5613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16827 and 16839. The biggest common factor number is the GCF number.
So the greatest common factor 16827 and 16839 is 3.

Also check out the Least Common Multiple of 16827 and 16839