What is the Greatest Common Factor of 3165 and 3174?

Greatest common factor (GCF) of 3165 and 3174 is 3.

GCF(3165,3174) = 3

We will now calculate the prime factors of 3165 and 3174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3165 and 3174.

How to find the GCF of 3165 and 3174?

We will first find the prime factorization of 3165 and 3174. After we will calculate the factors of 3165 and 3174 and find the biggest common factor number .

Step-1: Prime Factorization of 3165

Prime factors of 3165 are 3, 5, 211. Prime factorization of 3165 in exponential form is:

3165 = 3¹ × 5¹ × 211¹

Step-2: 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-3: Factors of 3165

List of positive integer factors of 3165 that divides 3165 without a remainder.

1, 3, 5, 15, 211, 633, 1055

Step-4: Factors of 3174

List of positive integer factors of 3174 that divides 3165 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3165 and 3174. The biggest common factor number is the GCF number.
So the greatest common factor 3165 and 3174 is 3.

Also check out the Least Common Multiple of 3165 and 3174