What is the Greatest Common Factor of 40374 and 40378?

Greatest common factor (GCF) of 40374 and 40378 is 2.

GCF(40374,40378) = 2

We will now calculate the prime factors of 40374 and 40378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40374 and 40378.

How to find the GCF of 40374 and 40378?

We will first find the prime factorization of 40374 and 40378. After we will calculate the factors of 40374 and 40378 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 40378

Prime factors of 40378 are 2, 13, 1553. Prime factorization of 40378 in exponential form is:

40378 = 2¹ × 13¹ × 1553¹

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 40378

List of positive integer factors of 40378 that divides 40374 without a remainder.

1, 2, 13, 26, 1553, 3106, 20189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40374 and 40378. The biggest common factor number is the GCF number.
So the greatest common factor 40374 and 40378 is 2.

Also check out the Least Common Multiple of 40374 and 40378