What is the Greatest Common Factor of 43590 and 43600?

Greatest common factor (GCF) of 43590 and 43600 is 10.

GCF(43590,43600) = 10

We will now calculate the prime factors of 43590 and 43600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43590 and 43600.

How to find the GCF of 43590 and 43600?

We will first find the prime factorization of 43590 and 43600. After we will calculate the factors of 43590 and 43600 and find the biggest common factor number .

Step-1: Prime Factorization of 43590

Prime factors of 43590 are 2, 3, 5, 1453. Prime factorization of 43590 in exponential form is:

43590 = 2¹ × 3¹ × 5¹ × 1453¹

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 43590

List of positive integer factors of 43590 that divides 43590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1453, 2906, 4359, 7265, 8718, 14530, 21795

Step-4: Factors of 43600

List of positive integer factors of 43600 that divides 43590 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 43590 and 43600. The biggest common factor number is the GCF number.
So the greatest common factor 43590 and 43600 is 10.

Also check out the Least Common Multiple of 43590 and 43600