What is the Greatest Common Factor of 43154 and 43173?

Greatest common factor (GCF) of 43154 and 43173 is 1.

GCF(43154,43173) = 1

We will now calculate the prime factors of 43154 and 43173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43154 and 43173.

How to find the GCF of 43154 and 43173?

We will first find the prime factorization of 43154 and 43173. After we will calculate the factors of 43154 and 43173 and find the biggest common factor number .

Step-1: Prime Factorization of 43154

Prime factors of 43154 are 2, 21577. Prime factorization of 43154 in exponential form is:

43154 = 2¹ × 21577¹

Step-2: Prime Factorization of 43173

Prime factors of 43173 are 3, 13, 41. Prime factorization of 43173 in exponential form is:

43173 = 3⁴ × 13¹ × 41¹

Step-3: Factors of 43154

List of positive integer factors of 43154 that divides 43154 without a remainder.

1, 2, 21577

Step-4: Factors of 43173

List of positive integer factors of 43173 that divides 43154 without a remainder.

1, 3, 9, 13, 27, 39, 41, 81, 117, 123, 351, 369, 533, 1053, 1107, 1599, 3321, 4797, 14391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43154 and 43173. The biggest common factor number is the GCF number.
So the greatest common factor 43154 and 43173 is 1.

Also check out the Least Common Multiple of 43154 and 43173