What is the Greatest Common Factor of 16176 and 16188?

Greatest common factor (GCF) of 16176 and 16188 is 12.

GCF(16176,16188) = 12

We will now calculate the prime factors of 16176 and 16188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16176 and 16188.

How to find the GCF of 16176 and 16188?

We will first find the prime factorization of 16176 and 16188. After we will calculate the factors of 16176 and 16188 and find the biggest common factor number .

Step-1: Prime Factorization of 16176

Prime factors of 16176 are 2, 3, 337. Prime factorization of 16176 in exponential form is:

16176 = 2⁴ × 3¹ × 337¹

Step-2: Prime Factorization of 16188

Prime factors of 16188 are 2, 3, 19, 71. Prime factorization of 16188 in exponential form is:

16188 = 2² × 3¹ × 19¹ × 71¹

Step-3: Factors of 16176

List of positive integer factors of 16176 that divides 16176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 337, 674, 1011, 1348, 2022, 2696, 4044, 5392, 8088

Step-4: Factors of 16188

List of positive integer factors of 16188 that divides 16176 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 71, 76, 114, 142, 213, 228, 284, 426, 852, 1349, 2698, 4047, 5396, 8094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16176 and 16188. The biggest common factor number is the GCF number.
So the greatest common factor 16176 and 16188 is 12.

Also check out the Least Common Multiple of 16176 and 16188