What is the Greatest Common Factor of 16176 and 16196?

Greatest common factor (GCF) of 16176 and 16196 is 4.

GCF(16176,16196) = 4

We will now calculate the prime factors of 16176 and 16196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16176 and 16196.

How to find the GCF of 16176 and 16196?

We will first find the prime factorization of 16176 and 16196. After we will calculate the factors of 16176 and 16196 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 16196

Prime factors of 16196 are 2, 4049. Prime factorization of 16196 in exponential form is:

16196 = 2² × 4049¹

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 16196

List of positive integer factors of 16196 that divides 16176 without a remainder.

1, 2, 4, 4049, 8098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16176 and 16196. The biggest common factor number is the GCF number.
So the greatest common factor 16176 and 16196 is 4.

Also check out the Least Common Multiple of 16176 and 16196