What is the Greatest Common Factor of 3174 and 3178?

Greatest common factor (GCF) of 3174 and 3178 is 2.

GCF(3174,3178) = 2

We will now calculate the prime factors of 3174 and 3178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3174 and 3178.

How to find the GCF of 3174 and 3178?

We will first find the prime factorization of 3174 and 3178. After we will calculate the factors of 3174 and 3178 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 3178

Prime factors of 3178 are 2, 7, 227. Prime factorization of 3178 in exponential form is:

3178 = 2¹ × 7¹ × 227¹

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 3178

List of positive integer factors of 3178 that divides 3174 without a remainder.

1, 2, 7, 14, 227, 454, 1589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3174 and 3178. The biggest common factor number is the GCF number.
So the greatest common factor 3174 and 3178 is 2.

Also check out the Least Common Multiple of 3174 and 3178