What is the Greatest Common Factor of 16146 and 16164?

Greatest common factor (GCF) of 16146 and 16164 is 18.

GCF(16146,16164) = 18

We will now calculate the prime factors of 16146 and 16164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16146 and 16164.

How to find the GCF of 16146 and 16164?

We will first find the prime factorization of 16146 and 16164. After we will calculate the factors of 16146 and 16164 and find the biggest common factor number .

Step-1: Prime Factorization of 16146

Prime factors of 16146 are 2, 3, 13, 23. Prime factorization of 16146 in exponential form is:

16146 = 2¹ × 3³ × 13¹ × 23¹

Step-2: 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-3: Factors of 16146

List of positive integer factors of 16146 that divides 16146 without a remainder.

1, 2, 3, 6, 9, 13, 18, 23, 26, 27, 39, 46, 54, 69, 78, 117, 138, 207, 234, 299, 351, 414, 598, 621, 702, 897, 1242, 1794, 2691, 5382, 8073

Step-4: Factors of 16164

List of positive integer factors of 16164 that divides 16146 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16146 and 16164. The biggest common factor number is the GCF number.
So the greatest common factor 16146 and 16164 is 18.

Also check out the Least Common Multiple of 16146 and 16164