What is the Greatest Common Factor of 4176 and 4188?

Greatest common factor (GCF) of 4176 and 4188 is 12.

GCF(4176,4188) = 12

We will now calculate the prime factors of 4176 and 4188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4176 and 4188.

How to find the GCF of 4176 and 4188?

We will first find the prime factorization of 4176 and 4188. After we will calculate the factors of 4176 and 4188 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4188

Prime factors of 4188 are 2, 3, 349. Prime factorization of 4188 in exponential form is:

4188 = 2² × 3¹ × 349¹

Step-3: Factors of 4176

List of positive integer factors of 4176 that divides 4176 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

Step-4: Factors of 4188

List of positive integer factors of 4188 that divides 4176 without a remainder.

1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4176 and 4188. The biggest common factor number is the GCF number.
So the greatest common factor 4176 and 4188 is 12.

Also check out the Least Common Multiple of 4176 and 4188