What is the Greatest Common Factor of 18154 and 18158?

Greatest common factor (GCF) of 18154 and 18158 is 2.

GCF(18154,18158) = 2

We will now calculate the prime factors of 18154 and 18158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18154 and 18158.

How to find the GCF of 18154 and 18158?

We will first find the prime factorization of 18154 and 18158. After we will calculate the factors of 18154 and 18158 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18158

Prime factors of 18158 are 2, 7, 1297. Prime factorization of 18158 in exponential form is:

18158 = 2¹ × 7¹ × 1297¹

Step-3: Factors of 18154

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

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

Step-4: Factors of 18158

List of positive integer factors of 18158 that divides 18154 without a remainder.

1, 2, 7, 14, 1297, 2594, 9079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18154 and 18158. The biggest common factor number is the GCF number.
So the greatest common factor 18154 and 18158 is 2.

Also check out the Least Common Multiple of 18154 and 18158