What is the Greatest Common Factor of 43389 and 43408?

Greatest common factor (GCF) of 43389 and 43408 is 1.

GCF(43389,43408) = 1

We will now calculate the prime factors of 43389 and 43408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43389 and 43408.

How to find the GCF of 43389 and 43408?

We will first find the prime factorization of 43389 and 43408. After we will calculate the factors of 43389 and 43408 and find the biggest common factor number .

Step-1: Prime Factorization of 43389

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

43389 = 3³ × 1607¹

Step-2: Prime Factorization of 43408

Prime factors of 43408 are 2, 2713. Prime factorization of 43408 in exponential form is:

43408 = 2⁴ × 2713¹

Step-3: Factors of 43389

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

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

Step-4: Factors of 43408

List of positive integer factors of 43408 that divides 43389 without a remainder.

1, 2, 4, 8, 16, 2713, 5426, 10852, 21704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43389 and 43408. The biggest common factor number is the GCF number.
So the greatest common factor 43389 and 43408 is 1.

Also check out the Least Common Multiple of 43389 and 43408