What is the Greatest Common Factor of 40374 and 40383?

Greatest common factor (GCF) of 40374 and 40383 is 9.

GCF(40374,40383) = 9

We will now calculate the prime factors of 40374 and 40383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40374 and 40383.

How to find the GCF of 40374 and 40383?

We will first find the prime factorization of 40374 and 40383. After we will calculate the factors of 40374 and 40383 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 40383

Prime factors of 40383 are 3, 7, 641. Prime factorization of 40383 in exponential form is:

40383 = 3² × 7¹ × 641¹

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 40383

List of positive integer factors of 40383 that divides 40374 without a remainder.

1, 3, 7, 9, 21, 63, 641, 1923, 4487, 5769, 13461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40374 and 40383. The biggest common factor number is the GCF number.
So the greatest common factor 40374 and 40383 is 9.

Also check out the Least Common Multiple of 40374 and 40383