What is the Greatest Common Factor of 16821 and 16833?

Greatest common factor (GCF) of 16821 and 16833 is 3.

GCF(16821,16833) = 3

We will now calculate the prime factors of 16821 and 16833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16821 and 16833.

How to find the GCF of 16821 and 16833?

We will first find the prime factorization of 16821 and 16833. After we will calculate the factors of 16821 and 16833 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16833

Prime factors of 16833 are 3, 31, 181. Prime factorization of 16833 in exponential form is:

16833 = 3¹ × 31¹ × 181¹

Step-3: Factors of 16821

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

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

Step-4: Factors of 16833

List of positive integer factors of 16833 that divides 16821 without a remainder.

1, 3, 31, 93, 181, 543, 5611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16821 and 16833. The biggest common factor number is the GCF number.
So the greatest common factor 16821 and 16833 is 3.

Also check out the Least Common Multiple of 16821 and 16833