What is the Greatest Common Factor of 43788 and 43800?

Greatest common factor (GCF) of 43788 and 43800 is 12.

GCF(43788,43800) = 12

We will now calculate the prime factors of 43788 and 43800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43788 and 43800.

How to find the GCF of 43788 and 43800?

We will first find the prime factorization of 43788 and 43800. After we will calculate the factors of 43788 and 43800 and find the biggest common factor number .

Step-1: Prime Factorization of 43788

Prime factors of 43788 are 2, 3, 41, 89. Prime factorization of 43788 in exponential form is:

43788 = 2² × 3¹ × 41¹ × 89¹

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 43788

List of positive integer factors of 43788 that divides 43788 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 89, 123, 164, 178, 246, 267, 356, 492, 534, 1068, 3649, 7298, 10947, 14596, 21894

Step-4: Factors of 43800

List of positive integer factors of 43800 that divides 43788 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 43788 and 43800. The biggest common factor number is the GCF number.
So the greatest common factor 43788 and 43800 is 12.

Also check out the Least Common Multiple of 43788 and 43800