What is the Greatest Common Factor of 40401 and 40413?

Greatest common factor (GCF) of 40401 and 40413 is 3.

GCF(40401,40413) = 3

We will now calculate the prime factors of 40401 and 40413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40401 and 40413.

How to find the GCF of 40401 and 40413?

We will first find the prime factorization of 40401 and 40413. After we will calculate the factors of 40401 and 40413 and find the biggest common factor number .

Step-1: Prime Factorization of 40401

Prime factors of 40401 are 3, 67. Prime factorization of 40401 in exponential form is:

40401 = 3² × 67²

Step-2: Prime Factorization of 40413

Prime factors of 40413 are 3, 19, 709. Prime factorization of 40413 in exponential form is:

40413 = 3¹ × 19¹ × 709¹

Step-3: Factors of 40401

List of positive integer factors of 40401 that divides 40401 without a remainder.

1, 3, 9, 67, 201, 603, 4489, 13467

Step-4: Factors of 40413

List of positive integer factors of 40413 that divides 40401 without a remainder.

1, 3, 19, 57, 709, 2127, 13471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40401 and 40413. The biggest common factor number is the GCF number.
So the greatest common factor 40401 and 40413 is 3.

Also check out the Least Common Multiple of 40401 and 40413