What is the Greatest Common Factor of 157 and 171?

Greatest common factor (GCF) of 157 and 171 is 1.

GCF(157,171) = 1

We will now calculate the prime factors of 157 and 171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 157 and 171.

How to find the GCF of 157 and 171?

We will first find the prime factorization of 157 and 171. After we will calculate the factors of 157 and 171 and find the biggest common factor number .

Step-1: Prime Factorization of 157

Prime factors of 157 are 157. Prime factorization of 157 in exponential form is:

157 = 157¹

Step-2: Prime Factorization of 171

Prime factors of 171 are 3, 19. Prime factorization of 171 in exponential form is:

171 = 3² × 19¹

Step-3: Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

Step-4: Factors of 171

List of positive integer factors of 171 that divides 157 without a remainder.

1, 3, 9, 19, 57

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 157 and 171. The biggest common factor number is the GCF number.
So the greatest common factor 157 and 171 is 1.

Also check out the Least Common Multiple of 157 and 171