What is the Greatest Common Factor of 152 and 171?

Greatest common factor (GCF) of 152 and 171 is 19.

GCF(152,171) = 19

We will now calculate the prime factors of 152 and 171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 152 and 171.

How to find the GCF of 152 and 171?

We will first find the prime factorization of 152 and 171. After we will calculate the factors of 152 and 171 and find the biggest common factor number .

Step-1: Prime Factorization of 152

Prime factors of 152 are 2, 19. Prime factorization of 152 in exponential form is:

152 = 2³ × 19¹

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 152

List of positive integer factors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76

Step-4: Factors of 171

List of positive integer factors of 171 that divides 152 without a remainder.

1, 3, 9, 19, 57

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 152 and 171. The biggest common factor number is the GCF number.
So the greatest common factor 152 and 171 is 19.

Also check out the Least Common Multiple of 152 and 171