What is the Greatest Common Factor of 43836 and 43845?

Greatest common factor (GCF) of 43836 and 43845 is 3.

GCF(43836,43845) = 3

We will now calculate the prime factors of 43836 and 43845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43836 and 43845.

How to find the GCF of 43836 and 43845?

We will first find the prime factorization of 43836 and 43845. After we will calculate the factors of 43836 and 43845 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 43845

Prime factors of 43845 are 3, 5, 37, 79. Prime factorization of 43845 in exponential form is:

43845 = 3¹ × 5¹ × 37¹ × 79¹

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 43845

List of positive integer factors of 43845 that divides 43836 without a remainder.

1, 3, 5, 15, 37, 79, 111, 185, 237, 395, 555, 1185, 2923, 8769, 14615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43836 and 43845. The biggest common factor number is the GCF number.
So the greatest common factor 43836 and 43845 is 3.

Also check out the Least Common Multiple of 43836 and 43845