What is the Greatest Common Factor of 43689 and 43704?

Greatest common factor (GCF) of 43689 and 43704 is 3.

GCF(43689,43704) = 3

We will now calculate the prime factors of 43689 and 43704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43689 and 43704.

How to find the GCF of 43689 and 43704?

We will first find the prime factorization of 43689 and 43704. After we will calculate the factors of 43689 and 43704 and find the biggest common factor number .

Step-1: Prime Factorization of 43689

Prime factors of 43689 are 3, 14563. Prime factorization of 43689 in exponential form is:

43689 = 3¹ × 14563¹

Step-2: Prime Factorization of 43704

Prime factors of 43704 are 2, 3, 607. Prime factorization of 43704 in exponential form is:

43704 = 2³ × 3² × 607¹

Step-3: Factors of 43689

List of positive integer factors of 43689 that divides 43689 without a remainder.

1, 3, 14563

Step-4: Factors of 43704

List of positive integer factors of 43704 that divides 43689 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 607, 1214, 1821, 2428, 3642, 4856, 5463, 7284, 10926, 14568, 21852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43689 and 43704. The biggest common factor number is the GCF number.
So the greatest common factor 43689 and 43704 is 3.

Also check out the Least Common Multiple of 43689 and 43704