What is the Greatest Common Factor of 16164 and 16182?

Greatest common factor (GCF) of 16164 and 16182 is 18.

GCF(16164,16182) = 18

We will now calculate the prime factors of 16164 and 16182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16164 and 16182.

How to find the GCF of 16164 and 16182?

We will first find the prime factorization of 16164 and 16182. After we will calculate the factors of 16164 and 16182 and find the biggest common factor number .

Step-1: Prime Factorization of 16164

Prime factors of 16164 are 2, 3, 449. Prime factorization of 16164 in exponential form is:

16164 = 2² × 3² × 449¹

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 16164

List of positive integer factors of 16164 that divides 16164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 449, 898, 1347, 1796, 2694, 4041, 5388, 8082

Step-4: Factors of 16182

List of positive integer factors of 16182 that divides 16164 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 16164 and 16182. The biggest common factor number is the GCF number.
So the greatest common factor 16164 and 16182 is 18.

Also check out the Least Common Multiple of 16164 and 16182