What is the Greatest Common Factor of 43794 and 43812?

Greatest common factor (GCF) of 43794 and 43812 is 18.

GCF(43794,43812) = 18

We will now calculate the prime factors of 43794 and 43812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43794 and 43812.

How to find the GCF of 43794 and 43812?

We will first find the prime factorization of 43794 and 43812. After we will calculate the factors of 43794 and 43812 and find the biggest common factor number .

Step-1: Prime Factorization of 43794

Prime factors of 43794 are 2, 3, 811. Prime factorization of 43794 in exponential form is:

43794 = 2¹ × 3³ × 811¹

Step-2: 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-3: Factors of 43794

List of positive integer factors of 43794 that divides 43794 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 811, 1622, 2433, 4866, 7299, 14598, 21897

Step-4: Factors of 43812

List of positive integer factors of 43812 that divides 43794 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43794 and 43812. The biggest common factor number is the GCF number.
So the greatest common factor 43794 and 43812 is 18.

Also check out the Least Common Multiple of 43794 and 43812