What is the Greatest Common Factor of 43800 and 43815?

Greatest common factor (GCF) of 43800 and 43815 is 15.

GCF(43800,43815) = 15

We will now calculate the prime factors of 43800 and 43815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43800 and 43815.

How to find the GCF of 43800 and 43815?

We will first find the prime factorization of 43800 and 43815. After we will calculate the factors of 43800 and 43815 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 43815

Prime factors of 43815 are 3, 5, 23, 127. Prime factorization of 43815 in exponential form is:

43815 = 3¹ × 5¹ × 23¹ × 127¹

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 43815

List of positive integer factors of 43815 that divides 43800 without a remainder.

1, 3, 5, 15, 23, 69, 115, 127, 345, 381, 635, 1905, 2921, 8763, 14605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43800 and 43815. The biggest common factor number is the GCF number.
So the greatest common factor 43800 and 43815 is 15.

Also check out the Least Common Multiple of 43800 and 43815