What is the Greatest Common Factor of 3156 and 3168?

Greatest common factor (GCF) of 3156 and 3168 is 12.

GCF(3156,3168) = 12

We will now calculate the prime factors of 3156 and 3168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3156 and 3168.

How to find the GCF of 3156 and 3168?

We will first find the prime factorization of 3156 and 3168. After we will calculate the factors of 3156 and 3168 and find the biggest common factor number .

Step-1: Prime Factorization of 3156

Prime factors of 3156 are 2, 3, 263. Prime factorization of 3156 in exponential form is:

3156 = 2² × 3¹ × 263¹

Step-2: 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-3: Factors of 3156

List of positive integer factors of 3156 that divides 3156 without a remainder.

1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578

Step-4: Factors of 3168

List of positive integer factors of 3168 that divides 3156 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3156 and 3168. The biggest common factor number is the GCF number.
So the greatest common factor 3156 and 3168 is 12.

Also check out the Least Common Multiple of 3156 and 3168