What is the Greatest Common Factor of 40605 and 40623?

Greatest common factor (GCF) of 40605 and 40623 is 3.

GCF(40605,40623) = 3

We will now calculate the prime factors of 40605 and 40623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40605 and 40623.

How to find the GCF of 40605 and 40623?

We will first find the prime factorization of 40605 and 40623. After we will calculate the factors of 40605 and 40623 and find the biggest common factor number .

Step-1: Prime Factorization of 40605

Prime factors of 40605 are 3, 5, 2707. Prime factorization of 40605 in exponential form is:

40605 = 3¹ × 5¹ × 2707¹

Step-2: Prime Factorization of 40623

Prime factors of 40623 are 3, 11, 1231. Prime factorization of 40623 in exponential form is:

40623 = 3¹ × 11¹ × 1231¹

Step-3: Factors of 40605

List of positive integer factors of 40605 that divides 40605 without a remainder.

1, 3, 5, 15, 2707, 8121, 13535

Step-4: Factors of 40623

List of positive integer factors of 40623 that divides 40605 without a remainder.

1, 3, 11, 33, 1231, 3693, 13541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40605 and 40623. The biggest common factor number is the GCF number.
So the greatest common factor 40605 and 40623 is 3.

Also check out the Least Common Multiple of 40605 and 40623