What is the Greatest Common Factor of 43794 and 43800?

Greatest common factor (GCF) of 43794 and 43800 is 6.

GCF(43794,43800) = 6

We will now calculate the prime factors of 43794 and 43800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43794 and 43800.

How to find the GCF of 43794 and 43800?

We will first find the prime factorization of 43794 and 43800. After we will calculate the factors of 43794 and 43800 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 43800

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

43800 = 2³ × 3¹ × 5² × 73¹

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 43800

List of positive integer factors of 43800 that divides 43794 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43794 and 43800. The biggest common factor number is the GCF number.
So the greatest common factor 43794 and 43800 is 6.

Also check out the Least Common Multiple of 43794 and 43800