What is the Greatest Common Factor of 18138 and 18154?

Greatest common factor (GCF) of 18138 and 18154 is 2.

GCF(18138,18154) = 2

We will now calculate the prime factors of 18138 and 18154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18138 and 18154.

How to find the GCF of 18138 and 18154?

We will first find the prime factorization of 18138 and 18154. After we will calculate the factors of 18138 and 18154 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 18154

Prime factors of 18154 are 2, 29, 313. Prime factorization of 18154 in exponential form is:

18154 = 2¹ × 29¹ × 313¹

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 18154

List of positive integer factors of 18154 that divides 18138 without a remainder.

1, 2, 29, 58, 313, 626, 9077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18138 and 18154. The biggest common factor number is the GCF number.
So the greatest common factor 18138 and 18154 is 2.

Also check out the Least Common Multiple of 18138 and 18154