What is the Greatest Common Factor of 4164 and 4176?

Greatest common factor (GCF) of 4164 and 4176 is 12.

GCF(4164,4176) = 12

We will now calculate the prime factors of 4164 and 4176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4164 and 4176.

How to find the GCF of 4164 and 4176?

We will first find the prime factorization of 4164 and 4176. After we will calculate the factors of 4164 and 4176 and find the biggest common factor number .

Step-1: Prime Factorization of 4164

Prime factors of 4164 are 2, 3, 347. Prime factorization of 4164 in exponential form is:

4164 = 2² × 3¹ × 347¹

Step-2: Prime Factorization of 4176

Prime factors of 4176 are 2, 3, 29. Prime factorization of 4176 in exponential form is:

4176 = 2⁴ × 3² × 29¹

Step-3: Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082

Step-4: Factors of 4176

List of positive integer factors of 4176 that divides 4164 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4164 and 4176. The biggest common factor number is the GCF number.
So the greatest common factor 4164 and 4176 is 12.

Also check out the Least Common Multiple of 4164 and 4176