What is the Greatest Common Factor of 3174 and 3189?

Greatest common factor (GCF) of 3174 and 3189 is 3.

GCF(3174,3189) = 3

We will now calculate the prime factors of 3174 and 3189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3174 and 3189.

How to find the GCF of 3174 and 3189?

We will first find the prime factorization of 3174 and 3189. After we will calculate the factors of 3174 and 3189 and find the biggest common factor number .

Step-1: Prime Factorization of 3174

Prime factors of 3174 are 2, 3, 23. Prime factorization of 3174 in exponential form is:

3174 = 2¹ × 3¹ × 23²

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 3174

List of positive integer factors of 3174 that divides 3174 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587

Step-4: Factors of 3189

List of positive integer factors of 3189 that divides 3174 without a remainder.

1, 3, 1063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3174 and 3189. The biggest common factor number is the GCF number.
So the greatest common factor 3174 and 3189 is 3.

Also check out the Least Common Multiple of 3174 and 3189