What is the Greatest Common Factor of 3174 and 3180?

Greatest common factor (GCF) of 3174 and 3180 is 6.

GCF(3174,3180) = 6

We will now calculate the prime factors of 3174 and 3180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3174 and 3180.

How to find the GCF of 3174 and 3180?

We will first find the prime factorization of 3174 and 3180. After we will calculate the factors of 3174 and 3180 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 3180

Prime factors of 3180 are 2, 3, 5, 53. Prime factorization of 3180 in exponential form is:

3180 = 2² × 3¹ × 5¹ × 53¹

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 3180

List of positive integer factors of 3180 that divides 3174 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3174 and 3180. The biggest common factor number is the GCF number.
So the greatest common factor 3174 and 3180 is 6.

Also check out the Least Common Multiple of 3174 and 3180