What is the Greatest Common Factor of 16821 and 16837?

Greatest common factor (GCF) of 16821 and 16837 is 1.

GCF(16821,16837) = 1

We will now calculate the prime factors of 16821 and 16837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16821 and 16837.

How to find the GCF of 16821 and 16837?

We will first find the prime factorization of 16821 and 16837. After we will calculate the factors of 16821 and 16837 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 16837

Prime factors of 16837 are 113, 149. Prime factorization of 16837 in exponential form is:

16837 = 113¹ × 149¹

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 16837

List of positive integer factors of 16837 that divides 16821 without a remainder.

1, 113, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16821 and 16837. The biggest common factor number is the GCF number.
So the greatest common factor 16821 and 16837 is 1.

Also check out the Least Common Multiple of 16821 and 16837