What is the Greatest Common Factor of 43174 and 43194?

Greatest common factor (GCF) of 43174 and 43194 is 2.

GCF(43174,43194) = 2

We will now calculate the prime factors of 43174 and 43194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43174 and 43194.

How to find the GCF of 43174 and 43194?

We will first find the prime factorization of 43174 and 43194. After we will calculate the factors of 43174 and 43194 and find the biggest common factor number .

Step-1: Prime Factorization of 43174

Prime factors of 43174 are 2, 21587. Prime factorization of 43174 in exponential form is:

43174 = 2¹ × 21587¹

Step-2: 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-3: Factors of 43174

List of positive integer factors of 43174 that divides 43174 without a remainder.

1, 2, 21587

Step-4: Factors of 43194

List of positive integer factors of 43194 that divides 43174 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43174 and 43194. The biggest common factor number is the GCF number.
So the greatest common factor 43174 and 43194 is 2.

Also check out the Least Common Multiple of 43174 and 43194