What is the Greatest Common Factor of 16164 and 16172?

Greatest common factor (GCF) of 16164 and 16172 is 4.

GCF(16164,16172) = 4

We will now calculate the prime factors of 16164 and 16172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16164 and 16172.

How to find the GCF of 16164 and 16172?

We will first find the prime factorization of 16164 and 16172. After we will calculate the factors of 16164 and 16172 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 16172

Prime factors of 16172 are 2, 13, 311. Prime factorization of 16172 in exponential form is:

16172 = 2² × 13¹ × 311¹

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 16172

List of positive integer factors of 16172 that divides 16164 without a remainder.

1, 2, 4, 13, 26, 52, 311, 622, 1244, 4043, 8086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16164 and 16172. The biggest common factor number is the GCF number.
So the greatest common factor 16164 and 16172 is 4.

Also check out the Least Common Multiple of 16164 and 16172