What is the Greatest Common Factor of 43305 and 43311?

Greatest common factor (GCF) of 43305 and 43311 is 3.

GCF(43305,43311) = 3

We will now calculate the prime factors of 43305 and 43311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43305 and 43311.

How to find the GCF of 43305 and 43311?

We will first find the prime factorization of 43305 and 43311. After we will calculate the factors of 43305 and 43311 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43311

Prime factors of 43311 are 3, 14437. Prime factorization of 43311 in exponential form is:

43311 = 3¹ × 14437¹

Step-3: Factors of 43305

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

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

Step-4: Factors of 43311

List of positive integer factors of 43311 that divides 43305 without a remainder.

1, 3, 14437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43305 and 43311. The biggest common factor number is the GCF number.
So the greatest common factor 43305 and 43311 is 3.

Also check out the Least Common Multiple of 43305 and 43311