What is the Greatest Common Factor of 43816 and 43836?

Greatest common factor (GCF) of 43816 and 43836 is 4.

GCF(43816,43836) = 4

We will now calculate the prime factors of 43816 and 43836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43816 and 43836.

How to find the GCF of 43816 and 43836?

We will first find the prime factorization of 43816 and 43836. After we will calculate the factors of 43816 and 43836 and find the biggest common factor number .

Step-1: Prime Factorization of 43816

Prime factors of 43816 are 2, 5477. Prime factorization of 43816 in exponential form is:

43816 = 2³ × 5477¹

Step-2: 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-3: Factors of 43816

List of positive integer factors of 43816 that divides 43816 without a remainder.

1, 2, 4, 8, 5477, 10954, 21908

Step-4: Factors of 43836

List of positive integer factors of 43836 that divides 43816 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43816 and 43836. The biggest common factor number is the GCF number.
So the greatest common factor 43816 and 43836 is 4.

Also check out the Least Common Multiple of 43816 and 43836