What is the Greatest Common Factor of 40389 and 40401?

Greatest common factor (GCF) of 40389 and 40401 is 3.

GCF(40389,40401) = 3

We will now calculate the prime factors of 40389 and 40401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40389 and 40401.

How to find the GCF of 40389 and 40401?

We will first find the prime factorization of 40389 and 40401. After we will calculate the factors of 40389 and 40401 and find the biggest common factor number .

Step-1: Prime Factorization of 40389

Prime factors of 40389 are 3, 13463. Prime factorization of 40389 in exponential form is:

40389 = 3¹ × 13463¹

Step-2: Prime Factorization of 40401

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

40401 = 3² × 67²

Step-3: Factors of 40389

List of positive integer factors of 40389 that divides 40389 without a remainder.

1, 3, 13463

Step-4: Factors of 40401

List of positive integer factors of 40401 that divides 40389 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40389 and 40401. The biggest common factor number is the GCF number.
So the greatest common factor 40389 and 40401 is 3.

Also check out the Least Common Multiple of 40389 and 40401