What is the Greatest Common Factor of 43585 and 43600?

Greatest common factor (GCF) of 43585 and 43600 is 5.

GCF(43585,43600) = 5

We will now calculate the prime factors of 43585 and 43600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43585 and 43600.

How to find the GCF of 43585 and 43600?

We will first find the prime factorization of 43585 and 43600. After we will calculate the factors of 43585 and 43600 and find the biggest common factor number .

Step-1: Prime Factorization of 43585

Prime factors of 43585 are 5, 23, 379. Prime factorization of 43585 in exponential form is:

43585 = 5¹ × 23¹ × 379¹

Step-2: Prime Factorization of 43600

Prime factors of 43600 are 2, 5, 109. Prime factorization of 43600 in exponential form is:

43600 = 2⁴ × 5² × 109¹

Step-3: Factors of 43585

List of positive integer factors of 43585 that divides 43585 without a remainder.

1, 5, 23, 115, 379, 1895, 8717

Step-4: Factors of 43600

List of positive integer factors of 43600 that divides 43585 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 109, 200, 218, 400, 436, 545, 872, 1090, 1744, 2180, 2725, 4360, 5450, 8720, 10900, 21800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43585 and 43600. The biggest common factor number is the GCF number.
So the greatest common factor 43585 and 43600 is 5.

Also check out the Least Common Multiple of 43585 and 43600