What is the Greatest Common Factor of 18156 and 18168?

Greatest common factor (GCF) of 18156 and 18168 is 12.

GCF(18156,18168) = 12

We will now calculate the prime factors of 18156 and 18168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18156 and 18168.

How to find the GCF of 18156 and 18168?

We will first find the prime factorization of 18156 and 18168. After we will calculate the factors of 18156 and 18168 and find the biggest common factor number .

Step-1: Prime Factorization of 18156

Prime factors of 18156 are 2, 3, 17, 89. Prime factorization of 18156 in exponential form is:

18156 = 2² × 3¹ × 17¹ × 89¹

Step-2: Prime Factorization of 18168

Prime factors of 18168 are 2, 3, 757. Prime factorization of 18168 in exponential form is:

18168 = 2³ × 3¹ × 757¹

Step-3: Factors of 18156

List of positive integer factors of 18156 that divides 18156 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 89, 102, 178, 204, 267, 356, 534, 1068, 1513, 3026, 4539, 6052, 9078

Step-4: Factors of 18168

List of positive integer factors of 18168 that divides 18156 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 757, 1514, 2271, 3028, 4542, 6056, 9084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18156 and 18168. The biggest common factor number is the GCF number.
So the greatest common factor 18156 and 18168 is 12.

Also check out the Least Common Multiple of 18156 and 18168