What is the Greatest Common Factor of 43800 and 43812?

Greatest common factor (GCF) of 43800 and 43812 is 12.

GCF(43800,43812) = 12

We will now calculate the prime factors of 43800 and 43812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43800 and 43812.

How to find the GCF of 43800 and 43812?

We will first find the prime factorization of 43800 and 43812. After we will calculate the factors of 43800 and 43812 and find the biggest common factor number .

Step-1: Prime Factorization of 43800

Prime factors of 43800 are 2, 3, 5, 73. Prime factorization of 43800 in exponential form is:

43800 = 2³ × 3¹ × 5² × 73¹

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 43800

List of positive integer factors of 43800 that divides 43800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 73, 75, 100, 120, 146, 150, 200, 219, 292, 300, 365, 438, 584, 600, 730, 876, 1095, 1460, 1752, 1825, 2190, 2920, 3650, 4380, 5475, 7300, 8760, 10950, 14600, 21900

Step-4: Factors of 43812

List of positive integer factors of 43812 that divides 43800 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 43800 and 43812. The biggest common factor number is the GCF number.
So the greatest common factor 43800 and 43812 is 12.

Also check out the Least Common Multiple of 43800 and 43812