What is the Greatest Common Factor of 43395 and 43405?

Greatest common factor (GCF) of 43395 and 43405 is 5.

GCF(43395,43405) = 5

We will now calculate the prime factors of 43395 and 43405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43395 and 43405.

How to find the GCF of 43395 and 43405?

We will first find the prime factorization of 43395 and 43405. After we will calculate the factors of 43395 and 43405 and find the biggest common factor number .

Step-1: Prime Factorization of 43395

Prime factors of 43395 are 3, 5, 11, 263. Prime factorization of 43395 in exponential form is:

43395 = 3¹ × 5¹ × 11¹ × 263¹

Step-2: Prime Factorization of 43405

Prime factors of 43405 are 5, 8681. Prime factorization of 43405 in exponential form is:

43405 = 5¹ × 8681¹

Step-3: Factors of 43395

List of positive integer factors of 43395 that divides 43395 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 263, 789, 1315, 2893, 3945, 8679, 14465

Step-4: Factors of 43405

List of positive integer factors of 43405 that divides 43395 without a remainder.

1, 5, 8681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43395 and 43405. The biggest common factor number is the GCF number.
So the greatest common factor 43395 and 43405 is 5.

Also check out the Least Common Multiple of 43395 and 43405