What is the Greatest Common Factor of 3168 and 3174?

Greatest common factor (GCF) of 3168 and 3174 is 6.

GCF(3168,3174) = 6

We will now calculate the prime factors of 3168 and 3174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3168 and 3174.

How to find the GCF of 3168 and 3174?

We will first find the prime factorization of 3168 and 3174. After we will calculate the factors of 3168 and 3174 and find the biggest common factor number .

Step-1: Prime Factorization of 3168

Prime factors of 3168 are 2, 3, 11. Prime factorization of 3168 in exponential form is:

3168 = 2⁵ × 3² × 11¹

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 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584

Step-4: Factors of 3174

List of positive integer factors of 3174 that divides 3168 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 3168 and 3174. The biggest common factor number is the GCF number.
So the greatest common factor 3168 and 3174 is 6.

Also check out the Least Common Multiple of 3168 and 3174