What is the Greatest Common Factor of 43812 and 43816?

Greatest common factor (GCF) of 43812 and 43816 is 4.

GCF(43812,43816) = 4

We will now calculate the prime factors of 43812 and 43816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43812 and 43816.

How to find the GCF of 43812 and 43816?

We will first find the prime factorization of 43812 and 43816. After we will calculate the factors of 43812 and 43816 and find the biggest common factor number .

Step-1: Prime Factorization of 43812

Prime factors of 43812 are 2, 3, 1217. Prime factorization of 43812 in exponential form is:

43812 = 2² × 3² × 1217¹

Step-2: Prime Factorization of 43816

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

43816 = 2³ × 5477¹

Step-3: Factors of 43812

List of positive integer factors of 43812 that divides 43812 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1217, 2434, 3651, 4868, 7302, 10953, 14604, 21906

Step-4: Factors of 43816

List of positive integer factors of 43816 that divides 43812 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43812 and 43816. The biggest common factor number is the GCF number.
So the greatest common factor 43812 and 43816 is 4.

Also check out the Least Common Multiple of 43812 and 43816