What is the Greatest Common Factor of 3168 and 3176?

Greatest common factor (GCF) of 3168 and 3176 is 8.

GCF(3168,3176) = 8

We will now calculate the prime factors of 3168 and 3176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3168 and 3176.

How to find the GCF of 3168 and 3176?

We will first find the prime factorization of 3168 and 3176. After we will calculate the factors of 3168 and 3176 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 3176

Prime factors of 3176 are 2, 397. Prime factorization of 3176 in exponential form is:

3176 = 2³ × 397¹

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 3176

List of positive integer factors of 3176 that divides 3168 without a remainder.

1, 2, 4, 8, 397, 794, 1588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3168 and 3176. The biggest common factor number is the GCF number.
So the greatest common factor 3168 and 3176 is 8.

Also check out the Least Common Multiple of 3168 and 3176