What is the Greatest Common Factor of 43175 and 43194?

Greatest common factor (GCF) of 43175 and 43194 is 1.

GCF(43175,43194) = 1

We will now calculate the prime factors of 43175 and 43194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43175 and 43194.

How to find the GCF of 43175 and 43194?

We will first find the prime factorization of 43175 and 43194. After we will calculate the factors of 43175 and 43194 and find the biggest common factor number .

Step-1: Prime Factorization of 43175

Prime factors of 43175 are 5, 11, 157. Prime factorization of 43175 in exponential form is:

43175 = 5² × 11¹ × 157¹

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 43175

List of positive integer factors of 43175 that divides 43175 without a remainder.

1, 5, 11, 25, 55, 157, 275, 785, 1727, 3925, 8635

Step-4: Factors of 43194

List of positive integer factors of 43194 that divides 43175 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 43175 and 43194. The biggest common factor number is the GCF number.
So the greatest common factor 43175 and 43194 is 1.

Also check out the Least Common Multiple of 43175 and 43194