What is the Greatest Common Factor of 173 and 186?

Greatest common factor (GCF) of 173 and 186 is 1.

GCF(173,186) = 1

We will now calculate the prime factors of 173 and 186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 173 and 186.

How to find the GCF of 173 and 186?

We will first find the prime factorization of 173 and 186. After we will calculate the factors of 173 and 186 and find the biggest common factor number .

Step-1: Prime Factorization of 173

Prime factors of 173 are 173. Prime factorization of 173 in exponential form is:

173 = 173¹

Step-2: Prime Factorization of 186

Prime factors of 186 are 2, 3, 31. Prime factorization of 186 in exponential form is:

186 = 2¹ × 3¹ × 31¹

Step-3: Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

Step-4: Factors of 186

List of positive integer factors of 186 that divides 173 without a remainder.

1, 2, 3, 6, 31, 62, 93

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 173 and 186. The biggest common factor number is the GCF number.
So the greatest common factor 173 and 186 is 1.

Also check out the Least Common Multiple of 173 and 186