What is the Greatest Common Factor of 43374 and 43378?

Greatest common factor (GCF) of 43374 and 43378 is 2.

GCF(43374,43378) = 2

We will now calculate the prime factors of 43374 and 43378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43374 and 43378.

How to find the GCF of 43374 and 43378?

We will first find the prime factorization of 43374 and 43378. After we will calculate the factors of 43374 and 43378 and find the biggest common factor number .

Step-1: Prime Factorization of 43374

Prime factors of 43374 are 2, 3, 7229. Prime factorization of 43374 in exponential form is:

43374 = 2¹ × 3¹ × 7229¹

Step-2: Prime Factorization of 43378

Prime factors of 43378 are 2, 23, 41. Prime factorization of 43378 in exponential form is:

43378 = 2¹ × 23² × 41¹

Step-3: Factors of 43374

List of positive integer factors of 43374 that divides 43374 without a remainder.

1, 2, 3, 6, 7229, 14458, 21687

Step-4: Factors of 43378

List of positive integer factors of 43378 that divides 43374 without a remainder.

1, 2, 23, 41, 46, 82, 529, 943, 1058, 1886, 21689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43374 and 43378. The biggest common factor number is the GCF number.
So the greatest common factor 43374 and 43378 is 2.

Also check out the Least Common Multiple of 43374 and 43378