What is the Greatest Common Factor of 3174 and 3194?

Greatest common factor (GCF) of 3174 and 3194 is 2.

GCF(3174,3194) = 2

We will now calculate the prime factors of 3174 and 3194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3174 and 3194.

How to find the GCF of 3174 and 3194?

We will first find the prime factorization of 3174 and 3194. After we will calculate the factors of 3174 and 3194 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 3194

Prime factors of 3194 are 2, 1597. Prime factorization of 3194 in exponential form is:

3194 = 2¹ × 1597¹

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 3194

List of positive integer factors of 3194 that divides 3174 without a remainder.

1, 2, 1597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3174 and 3194. The biggest common factor number is the GCF number.
So the greatest common factor 3174 and 3194 is 2.

Also check out the Least Common Multiple of 3174 and 3194