What is the Greatest Common Factor of 40395 and 40405?

Greatest common factor (GCF) of 40395 and 40405 is 5.

GCF(40395,40405) = 5

We will now calculate the prime factors of 40395 and 40405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40395 and 40405.

How to find the GCF of 40395 and 40405?

We will first find the prime factorization of 40395 and 40405. After we will calculate the factors of 40395 and 40405 and find the biggest common factor number .

Step-1: Prime Factorization of 40395

Prime factors of 40395 are 3, 5, 2693. Prime factorization of 40395 in exponential form is:

40395 = 3¹ × 5¹ × 2693¹

Step-2: Prime Factorization of 40405

Prime factors of 40405 are 5, 8081. Prime factorization of 40405 in exponential form is:

40405 = 5¹ × 8081¹

Step-3: Factors of 40395

List of positive integer factors of 40395 that divides 40395 without a remainder.

1, 3, 5, 15, 2693, 8079, 13465

Step-4: Factors of 40405

List of positive integer factors of 40405 that divides 40395 without a remainder.

1, 5, 8081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40395 and 40405. The biggest common factor number is the GCF number.
So the greatest common factor 40395 and 40405 is 5.

Also check out the Least Common Multiple of 40395 and 40405