What is the Greatest Common Factor of 40384 and 40401?

Greatest common factor (GCF) of 40384 and 40401 is 1.

GCF(40384,40401) = 1

We will now calculate the prime factors of 40384 and 40401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40384 and 40401.

How to find the GCF of 40384 and 40401?

We will first find the prime factorization of 40384 and 40401. After we will calculate the factors of 40384 and 40401 and find the biggest common factor number .

Step-1: Prime Factorization of 40384

Prime factors of 40384 are 2, 631. Prime factorization of 40384 in exponential form is:

40384 = 2⁶ × 631¹

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 40384

List of positive integer factors of 40384 that divides 40384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 631, 1262, 2524, 5048, 10096, 20192

Step-4: Factors of 40401

List of positive integer factors of 40401 that divides 40384 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 40384 and 40401. The biggest common factor number is the GCF number.
So the greatest common factor 40384 and 40401 is 1.

Also check out the Least Common Multiple of 40384 and 40401