What is the Greatest Common Factor of 43275 and 43281?

Greatest common factor (GCF) of 43275 and 43281 is 3.

GCF(43275,43281) = 3

We will now calculate the prime factors of 43275 and 43281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43275 and 43281.

How to find the GCF of 43275 and 43281?

We will first find the prime factorization of 43275 and 43281. After we will calculate the factors of 43275 and 43281 and find the biggest common factor number .

Step-1: Prime Factorization of 43275

Prime factors of 43275 are 3, 5, 577. Prime factorization of 43275 in exponential form is:

43275 = 3¹ × 5² × 577¹

Step-2: Prime Factorization of 43281

Prime factors of 43281 are 3, 7, 229. Prime factorization of 43281 in exponential form is:

43281 = 3³ × 7¹ × 229¹

Step-3: Factors of 43275

List of positive integer factors of 43275 that divides 43275 without a remainder.

1, 3, 5, 15, 25, 75, 577, 1731, 2885, 8655, 14425

Step-4: Factors of 43281

List of positive integer factors of 43281 that divides 43275 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 229, 687, 1603, 2061, 4809, 6183, 14427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43275 and 43281. The biggest common factor number is the GCF number.
So the greatest common factor 43275 and 43281 is 3.

Also check out the Least Common Multiple of 43275 and 43281