What is the Greatest Common Factor of 43314 and 43329?

Greatest common factor (GCF) of 43314 and 43329 is 3.

GCF(43314,43329) = 3

We will now calculate the prime factors of 43314 and 43329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43314 and 43329.

How to find the GCF of 43314 and 43329?

We will first find the prime factorization of 43314 and 43329. After we will calculate the factors of 43314 and 43329 and find the biggest common factor number .

Step-1: Prime Factorization of 43314

Prime factors of 43314 are 2, 3, 7219. Prime factorization of 43314 in exponential form is:

43314 = 2¹ × 3¹ × 7219¹

Step-2: Prime Factorization of 43329

Prime factors of 43329 are 3, 11, 13, 101. Prime factorization of 43329 in exponential form is:

43329 = 3¹ × 11¹ × 13¹ × 101¹

Step-3: Factors of 43314

List of positive integer factors of 43314 that divides 43314 without a remainder.

1, 2, 3, 6, 7219, 14438, 21657

Step-4: Factors of 43329

List of positive integer factors of 43329 that divides 43314 without a remainder.

1, 3, 11, 13, 33, 39, 101, 143, 303, 429, 1111, 1313, 3333, 3939, 14443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43314 and 43329. The biggest common factor number is the GCF number.
So the greatest common factor 43314 and 43329 is 3.

Also check out the Least Common Multiple of 43314 and 43329