What is the Greatest Common Factor of 43194 and 43209?

Greatest common factor (GCF) of 43194 and 43209 is 3.

GCF(43194,43209) = 3

We will now calculate the prime factors of 43194 and 43209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43194 and 43209.

How to find the GCF of 43194 and 43209?

We will first find the prime factorization of 43194 and 43209. After we will calculate the factors of 43194 and 43209 and find the biggest common factor number .

Step-1: Prime Factorization of 43194

Prime factors of 43194 are 2, 3, 23, 313. Prime factorization of 43194 in exponential form is:

43194 = 2¹ × 3¹ × 23¹ × 313¹

Step-2: Prime Factorization of 43209

Prime factors of 43209 are 3, 4801. Prime factorization of 43209 in exponential form is:

43209 = 3² × 4801¹

Step-3: Factors of 43194

List of positive integer factors of 43194 that divides 43194 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 313, 626, 939, 1878, 7199, 14398, 21597

Step-4: Factors of 43209

List of positive integer factors of 43209 that divides 43194 without a remainder.

1, 3, 9, 4801, 14403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43194 and 43209. The biggest common factor number is the GCF number.
So the greatest common factor 43194 and 43209 is 3.

Also check out the Least Common Multiple of 43194 and 43209