What is the Greatest Common Factor of 1836 and 1849?

Greatest common factor (GCF) of 1836 and 1849 is 1.

GCF(1836,1849) = 1

We will now calculate the prime factors of 1836 and 1849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1836 and 1849.

How to find the GCF of 1836 and 1849?

We will first find the prime factorization of 1836 and 1849. After we will calculate the factors of 1836 and 1849 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 1849

Prime factors of 1849 are 43. Prime factorization of 1849 in exponential form is:

1849 = 43²

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 1849

List of positive integer factors of 1849 that divides 1836 without a remainder.

1, 43

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1836 and 1849. The biggest common factor number is the GCF number.
So the greatest common factor 1836 and 1849 is 1.

Also check out the Least Common Multiple of 1836 and 1849