What is the Greatest Common Factor of 16821 and 16831?

Greatest common factor (GCF) of 16821 and 16831 is 1.

GCF(16821,16831) = 1

We will now calculate the prime factors of 16821 and 16831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16821 and 16831.

How to find the GCF of 16821 and 16831?

We will first find the prime factorization of 16821 and 16831. After we will calculate the factors of 16821 and 16831 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 16831

Prime factors of 16831 are 16831. Prime factorization of 16831 in exponential form is:

16831 = 16831¹

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 16831

List of positive integer factors of 16831 that divides 16821 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16821 and 16831. The biggest common factor number is the GCF number.
So the greatest common factor 16821 and 16831 is 1.

Also check out the Least Common Multiple of 16821 and 16831