What is the Greatest Common Factor of 18138 and 18156?

Greatest common factor (GCF) of 18138 and 18156 is 6.

GCF(18138,18156) = 6

We will now calculate the prime factors of 18138 and 18156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18138 and 18156.

How to find the GCF of 18138 and 18156?

We will first find the prime factorization of 18138 and 18156. After we will calculate the factors of 18138 and 18156 and find the biggest common factor number .

Step-1: Prime Factorization of 18138

Prime factors of 18138 are 2, 3, 3023. Prime factorization of 18138 in exponential form is:

18138 = 2¹ × 3¹ × 3023¹

Step-2: 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-3: Factors of 18138

List of positive integer factors of 18138 that divides 18138 without a remainder.

1, 2, 3, 6, 3023, 6046, 9069

Step-4: Factors of 18156

List of positive integer factors of 18156 that divides 18138 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18138 and 18156. The biggest common factor number is the GCF number.
So the greatest common factor 18138 and 18156 is 6.

Also check out the Least Common Multiple of 18138 and 18156