What is the Greatest Common Factor of 40374 and 40389?

Greatest common factor (GCF) of 40374 and 40389 is 3.

GCF(40374,40389) = 3

We will now calculate the prime factors of 40374 and 40389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40374 and 40389.

How to find the GCF of 40374 and 40389?

We will first find the prime factorization of 40374 and 40389. After we will calculate the factors of 40374 and 40389 and find the biggest common factor number .

Step-1: Prime Factorization of 40374

Prime factors of 40374 are 2, 3, 2243. Prime factorization of 40374 in exponential form is:

40374 = 2¹ × 3² × 2243¹

Step-2: Prime Factorization of 40389

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

40389 = 3¹ × 13463¹

Step-3: Factors of 40374

List of positive integer factors of 40374 that divides 40374 without a remainder.

1, 2, 3, 6, 9, 18, 2243, 4486, 6729, 13458, 20187

Step-4: Factors of 40389

List of positive integer factors of 40389 that divides 40374 without a remainder.

1, 3, 13463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40374 and 40389. The biggest common factor number is the GCF number.
So the greatest common factor 40374 and 40389 is 3.

Also check out the Least Common Multiple of 40374 and 40389