What is the Greatest Common Factor of 43836 and 43849?

Greatest common factor (GCF) of 43836 and 43849 is 13.

GCF(43836,43849) = 13

We will now calculate the prime factors of 43836 and 43849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43836 and 43849.

How to find the GCF of 43836 and 43849?

We will first find the prime factorization of 43836 and 43849. After we will calculate the factors of 43836 and 43849 and find the biggest common factor number .

Step-1: Prime Factorization of 43836

Prime factors of 43836 are 2, 3, 13, 281. Prime factorization of 43836 in exponential form is:

43836 = 2² × 3¹ × 13¹ × 281¹

Step-2: Prime Factorization of 43849

Prime factors of 43849 are 13, 3373. Prime factorization of 43849 in exponential form is:

43849 = 13¹ × 3373¹

Step-3: Factors of 43836

List of positive integer factors of 43836 that divides 43836 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 281, 562, 843, 1124, 1686, 3372, 3653, 7306, 10959, 14612, 21918

Step-4: Factors of 43849

List of positive integer factors of 43849 that divides 43836 without a remainder.

1, 13, 3373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43836 and 43849. The biggest common factor number is the GCF number.
So the greatest common factor 43836 and 43849 is 13.

Also check out the Least Common Multiple of 43836 and 43849