What is the Greatest Common Factor of 40065 and 40071?

Greatest common factor (GCF) of 40065 and 40071 is 3.

GCF(40065,40071) = 3

We will now calculate the prime factors of 40065 and 40071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40065 and 40071.

How to find the GCF of 40065 and 40071?

We will first find the prime factorization of 40065 and 40071. After we will calculate the factors of 40065 and 40071 and find the biggest common factor number .

Step-1: Prime Factorization of 40065

Prime factors of 40065 are 3, 5, 2671. Prime factorization of 40065 in exponential form is:

40065 = 3¹ × 5¹ × 2671¹

Step-2: Prime Factorization of 40071

Prime factors of 40071 are 3, 19, 37. Prime factorization of 40071 in exponential form is:

40071 = 3¹ × 19² × 37¹

Step-3: Factors of 40065

List of positive integer factors of 40065 that divides 40065 without a remainder.

1, 3, 5, 15, 2671, 8013, 13355

Step-4: Factors of 40071

List of positive integer factors of 40071 that divides 40065 without a remainder.

1, 3, 19, 37, 57, 111, 361, 703, 1083, 2109, 13357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40065 and 40071. The biggest common factor number is the GCF number.
So the greatest common factor 40065 and 40071 is 3.

Also check out the Least Common Multiple of 40065 and 40071