What is the Greatest Common Factor of 18146 and 18154?

Greatest common factor (GCF) of 18146 and 18154 is 2.

GCF(18146,18154) = 2

We will now calculate the prime factors of 18146 and 18154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18146 and 18154.

How to find the GCF of 18146 and 18154?

We will first find the prime factorization of 18146 and 18154. After we will calculate the factors of 18146 and 18154 and find the biggest common factor number .

Step-1: Prime Factorization of 18146

Prime factors of 18146 are 2, 43, 211. Prime factorization of 18146 in exponential form is:

18146 = 2¹ × 43¹ × 211¹

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 18146

List of positive integer factors of 18146 that divides 18146 without a remainder.

1, 2, 43, 86, 211, 422, 9073

Step-4: Factors of 18154

List of positive integer factors of 18154 that divides 18146 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18146 and 18154. The biggest common factor number is the GCF number.
So the greatest common factor 18146 and 18154 is 2.

Also check out the Least Common Multiple of 18146 and 18154