What is the Greatest Common Factor of 3171 and 3189?

Greatest common factor (GCF) of 3171 and 3189 is 3.

GCF(3171,3189) = 3

We will now calculate the prime factors of 3171 and 3189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3171 and 3189.

How to find the GCF of 3171 and 3189?

We will first find the prime factorization of 3171 and 3189. After we will calculate the factors of 3171 and 3189 and find the biggest common factor number .

Step-1: Prime Factorization of 3171

Prime factors of 3171 are 3, 7, 151. Prime factorization of 3171 in exponential form is:

3171 = 3¹ × 7¹ × 151¹

Step-2: Prime Factorization of 3189

Prime factors of 3189 are 3, 1063. Prime factorization of 3189 in exponential form is:

3189 = 3¹ × 1063¹

Step-3: Factors of 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1, 3, 7, 21, 151, 453, 1057

Step-4: Factors of 3189

List of positive integer factors of 3189 that divides 3171 without a remainder.

1, 3, 1063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3171 and 3189. The biggest common factor number is the GCF number.
So the greatest common factor 3171 and 3189 is 3.

Also check out the Least Common Multiple of 3171 and 3189