What is the Greatest Common Factor of 43600 and 43605?

Greatest common factor (GCF) of 43600 and 43605 is 5.

GCF(43600,43605) = 5

We will now calculate the prime factors of 43600 and 43605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43600 and 43605.

How to find the GCF of 43600 and 43605?

We will first find the prime factorization of 43600 and 43605. After we will calculate the factors of 43600 and 43605 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43605

Prime factors of 43605 are 3, 5, 17, 19. Prime factorization of 43605 in exponential form is:

43605 = 3³ × 5¹ × 17¹ × 19¹

Step-3: Factors of 43600

List of positive integer factors of 43600 that divides 43600 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

Step-4: Factors of 43605

List of positive integer factors of 43605 that divides 43600 without a remainder.

1, 3, 5, 9, 15, 17, 19, 27, 45, 51, 57, 85, 95, 135, 153, 171, 255, 285, 323, 459, 513, 765, 855, 969, 1615, 2295, 2565, 2907, 4845, 8721, 14535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43600 and 43605. The biggest common factor number is the GCF number.
So the greatest common factor 43600 and 43605 is 5.

Also check out the Least Common Multiple of 43600 and 43605