What is the Greatest Common Factor of 167 and 186?

Greatest common factor (GCF) of 167 and 186 is 1.

GCF(167,186) = 1

We will now calculate the prime factors of 167 and 186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 167 and 186.

How to find the GCF of 167 and 186?

We will first find the prime factorization of 167 and 186. After we will calculate the factors of 167 and 186 and find the biggest common factor number .

Step-1: Prime Factorization of 167

Prime factors of 167 are 167. Prime factorization of 167 in exponential form is:

167 = 167¹

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 167

List of positive integer factors of 167 that divides 167 without a remainder.

Step-4: Factors of 186

List of positive integer factors of 186 that divides 167 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 167 and 186. The biggest common factor number is the GCF number.
So the greatest common factor 167 and 186 is 1.

Also check out the Least Common Multiple of 167 and 186