What is the Greatest Common Factor of 43800 and 43806?

Greatest common factor (GCF) of 43800 and 43806 is 6.

GCF(43800,43806) = 6

We will now calculate the prime factors of 43800 and 43806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43800 and 43806.

How to find the GCF of 43800 and 43806?

We will first find the prime factorization of 43800 and 43806. After we will calculate the factors of 43800 and 43806 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 43806

Prime factors of 43806 are 2, 3, 7, 149. Prime factorization of 43806 in exponential form is:

43806 = 2¹ × 3¹ × 7² × 149¹

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 43806

List of positive integer factors of 43806 that divides 43800 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 149, 294, 298, 447, 894, 1043, 2086, 3129, 6258, 7301, 14602, 21903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43800 and 43806. The biggest common factor number is the GCF number.
So the greatest common factor 43800 and 43806 is 6.

Also check out the Least Common Multiple of 43800 and 43806