What is the Greatest Common Factor of 43389 and 43404?

Greatest common factor (GCF) of 43389 and 43404 is 3.

GCF(43389,43404) = 3

We will now calculate the prime factors of 43389 and 43404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43389 and 43404.

How to find the GCF of 43389 and 43404?

We will first find the prime factorization of 43389 and 43404. After we will calculate the factors of 43389 and 43404 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 43404

Prime factors of 43404 are 2, 3, 3617. Prime factorization of 43404 in exponential form is:

43404 = 2² × 3¹ × 3617¹

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 43404

List of positive integer factors of 43404 that divides 43389 without a remainder.

1, 2, 3, 4, 6, 12, 3617, 7234, 10851, 14468, 21702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43389 and 43404. The biggest common factor number is the GCF number.
So the greatest common factor 43389 and 43404 is 3.

Also check out the Least Common Multiple of 43389 and 43404