What is the Greatest Common Factor of 1821 and 1836?

Greatest common factor (GCF) of 1821 and 1836 is 3.

GCF(1821,1836) = 3

We will now calculate the prime factors of 1821 and 1836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1821 and 1836.

How to find the GCF of 1821 and 1836?

We will first find the prime factorization of 1821 and 1836. After we will calculate the factors of 1821 and 1836 and find the biggest common factor number .

Step-1: Prime Factorization of 1821

Prime factors of 1821 are 3, 607. Prime factorization of 1821 in exponential form is:

1821 = 3¹ × 607¹

Step-2: Prime Factorization of 1836

Prime factors of 1836 are 2, 3, 17. Prime factorization of 1836 in exponential form is:

1836 = 2² × 3³ × 17¹

Step-3: Factors of 1821

List of positive integer factors of 1821 that divides 1821 without a remainder.

1, 3, 607

Step-4: Factors of 1836

List of positive integer factors of 1836 that divides 1821 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1821 and 1836. The biggest common factor number is the GCF number.
So the greatest common factor 1821 and 1836 is 3.

Also check out the Least Common Multiple of 1821 and 1836