What is the Greatest Common Factor of 16176 and 16180?

Greatest common factor (GCF) of 16176 and 16180 is 4.

GCF(16176,16180) = 4

We will now calculate the prime factors of 16176 and 16180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16176 and 16180.

How to find the GCF of 16176 and 16180?

We will first find the prime factorization of 16176 and 16180. After we will calculate the factors of 16176 and 16180 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 16180

Prime factors of 16180 are 2, 5, 809. Prime factorization of 16180 in exponential form is:

16180 = 2² × 5¹ × 809¹

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 16180

List of positive integer factors of 16180 that divides 16176 without a remainder.

1, 2, 4, 5, 10, 20, 809, 1618, 3236, 4045, 8090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16176 and 16180. The biggest common factor number is the GCF number.
So the greatest common factor 16176 and 16180 is 4.

Also check out the Least Common Multiple of 16176 and 16180