What is the Greatest Common Factor of 43374 and 43389?

Greatest common factor (GCF) of 43374 and 43389 is 3.

GCF(43374,43389) = 3

We will now calculate the prime factors of 43374 and 43389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43374 and 43389.

How to find the GCF of 43374 and 43389?

We will first find the prime factorization of 43374 and 43389. After we will calculate the factors of 43374 and 43389 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 43389

Prime factors of 43389 are 3, 1607. Prime factorization of 43389 in exponential form is:

43389 = 3³ × 1607¹

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 43389

List of positive integer factors of 43389 that divides 43374 without a remainder.

1, 3, 9, 27, 1607, 4821, 14463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43374 and 43389. The biggest common factor number is the GCF number.
So the greatest common factor 43374 and 43389 is 3.

Also check out the Least Common Multiple of 43374 and 43389