What is the Greatest Common Factor of 1836 and 1851?

Greatest common factor (GCF) of 1836 and 1851 is 3.

GCF(1836,1851) = 3

We will now calculate the prime factors of 1836 and 1851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1836 and 1851.

How to find the GCF of 1836 and 1851?

We will first find the prime factorization of 1836 and 1851. After we will calculate the factors of 1836 and 1851 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1851

Prime factors of 1851 are 3, 617. Prime factorization of 1851 in exponential form is:

1851 = 3¹ × 617¹

Step-3: Factors of 1836

List of positive integer factors of 1836 that divides 1836 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

Step-4: Factors of 1851

List of positive integer factors of 1851 that divides 1836 without a remainder.

1, 3, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1836 and 1851. The biggest common factor number is the GCF number.
So the greatest common factor 1836 and 1851 is 3.

Also check out the Least Common Multiple of 1836 and 1851