What is the Greatest Common Factor of 16174 and 16182?

Greatest common factor (GCF) of 16174 and 16182 is 2.

GCF(16174,16182) = 2

We will now calculate the prime factors of 16174 and 16182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16174 and 16182.

How to find the GCF of 16174 and 16182?

We will first find the prime factorization of 16174 and 16182. After we will calculate the factors of 16174 and 16182 and find the biggest common factor number .

Step-1: Prime Factorization of 16174

Prime factors of 16174 are 2, 8087. Prime factorization of 16174 in exponential form is:

16174 = 2¹ × 8087¹

Step-2: Prime Factorization of 16182

Prime factors of 16182 are 2, 3, 29, 31. Prime factorization of 16182 in exponential form is:

16182 = 2¹ × 3² × 29¹ × 31¹

Step-3: Factors of 16174

List of positive integer factors of 16174 that divides 16174 without a remainder.

1, 2, 8087

Step-4: Factors of 16182

List of positive integer factors of 16182 that divides 16174 without a remainder.

1, 2, 3, 6, 9, 18, 29, 31, 58, 62, 87, 93, 174, 186, 261, 279, 522, 558, 899, 1798, 2697, 5394, 8091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16174 and 16182. The biggest common factor number is the GCF number.
So the greatest common factor 16174 and 16182 is 2.

Also check out the Least Common Multiple of 16174 and 16182