What is the Greatest Common Factor of 43785 and 43800?

Greatest common factor (GCF) of 43785 and 43800 is 15.

GCF(43785,43800) = 15

We will now calculate the prime factors of 43785 and 43800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43785 and 43800.

How to find the GCF of 43785 and 43800?

We will first find the prime factorization of 43785 and 43800. After we will calculate the factors of 43785 and 43800 and find the biggest common factor number .

Step-1: Prime Factorization of 43785

Prime factors of 43785 are 3, 5, 7, 139. Prime factorization of 43785 in exponential form is:

43785 = 3² × 5¹ × 7¹ × 139¹

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 43785

List of positive integer factors of 43785 that divides 43785 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 139, 315, 417, 695, 973, 1251, 2085, 2919, 4865, 6255, 8757, 14595

Step-4: Factors of 43800

List of positive integer factors of 43800 that divides 43785 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 43785 and 43800. The biggest common factor number is the GCF number.
So the greatest common factor 43785 and 43800 is 15.

Also check out the Least Common Multiple of 43785 and 43800