What is the Greatest Common Factor of 43300 and 43305?

Greatest common factor (GCF) of 43300 and 43305 is 5.

GCF(43300,43305) = 5

We will now calculate the prime factors of 43300 and 43305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43300 and 43305.

How to find the GCF of 43300 and 43305?

We will first find the prime factorization of 43300 and 43305. After we will calculate the factors of 43300 and 43305 and find the biggest common factor number .

Step-1: Prime Factorization of 43300

Prime factors of 43300 are 2, 5, 433. Prime factorization of 43300 in exponential form is:

43300 = 2² × 5² × 433¹

Step-2: Prime Factorization of 43305

Prime factors of 43305 are 3, 5, 2887. Prime factorization of 43305 in exponential form is:

43305 = 3¹ × 5¹ × 2887¹

Step-3: Factors of 43300

List of positive integer factors of 43300 that divides 43300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 433, 866, 1732, 2165, 4330, 8660, 10825, 21650

Step-4: Factors of 43305

List of positive integer factors of 43305 that divides 43300 without a remainder.

1, 3, 5, 15, 2887, 8661, 14435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43300 and 43305. The biggest common factor number is the GCF number.
So the greatest common factor 43300 and 43305 is 5.

Also check out the Least Common Multiple of 43300 and 43305