What is the Greatest Common Factor of 43171 and 43175?

Greatest common factor (GCF) of 43171 and 43175 is 1.

GCF(43171,43175) = 1

We will now calculate the prime factors of 43171 and 43175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43171 and 43175.

How to find the GCF of 43171 and 43175?

We will first find the prime factorization of 43171 and 43175. After we will calculate the factors of 43171 and 43175 and find the biggest common factor number .

Step-1: Prime Factorization of 43171

Prime factors of 43171 are 23, 1877. Prime factorization of 43171 in exponential form is:

43171 = 23¹ × 1877¹

Step-2: 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-3: Factors of 43171

List of positive integer factors of 43171 that divides 43171 without a remainder.

1, 23, 1877

Step-4: Factors of 43175

List of positive integer factors of 43175 that divides 43171 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43171 and 43175. The biggest common factor number is the GCF number.
So the greatest common factor 43171 and 43175 is 1.

Also check out the Least Common Multiple of 43171 and 43175