What is the Greatest Common Factor of 40374 and 40384?

Greatest common factor (GCF) of 40374 and 40384 is 2.

GCF(40374,40384) = 2

We will now calculate the prime factors of 40374 and 40384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40374 and 40384.

How to find the GCF of 40374 and 40384?

We will first find the prime factorization of 40374 and 40384. After we will calculate the factors of 40374 and 40384 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 40384

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

40384 = 2⁶ × 631¹

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 40384

List of positive integer factors of 40384 that divides 40374 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40374 and 40384. The biggest common factor number is the GCF number.
So the greatest common factor 40374 and 40384 is 2.

Also check out the Least Common Multiple of 40374 and 40384