What is the Greatest Common Factor of 172 and 187?

Greatest common factor (GCF) of 172 and 187 is 1.

GCF(172,187) = 1

We will now calculate the prime factors of 172 and 187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 172 and 187.

How to find the GCF of 172 and 187?

We will first find the prime factorization of 172 and 187. After we will calculate the factors of 172 and 187 and find the biggest common factor number .

Step-1: Prime Factorization of 172

Prime factors of 172 are 2, 43. Prime factorization of 172 in exponential form is:

172 = 2² × 43¹

Step-2: Prime Factorization of 187

Prime factors of 187 are 11, 17. Prime factorization of 187 in exponential form is:

187 = 11¹ × 17¹

Step-3: Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86

Step-4: Factors of 187

List of positive integer factors of 187 that divides 172 without a remainder.

1, 11, 17

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 172 and 187. The biggest common factor number is the GCF number.
So the greatest common factor 172 and 187 is 1.

Also check out the Least Common Multiple of 172 and 187