What is the Greatest Common Factor of 18078 and 18086?

Greatest common factor (GCF) of 18078 and 18086 is 2.

GCF(18078,18086) = 2

We will now calculate the prime factors of 18078 and 18086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18078 and 18086.

How to find the GCF of 18078 and 18086?

We will first find the prime factorization of 18078 and 18086. After we will calculate the factors of 18078 and 18086 and find the biggest common factor number .

Step-1: Prime Factorization of 18078

Prime factors of 18078 are 2, 3, 23, 131. Prime factorization of 18078 in exponential form is:

18078 = 2¹ × 3¹ × 23¹ × 131¹

Step-2: Prime Factorization of 18086

Prime factors of 18086 are 2, 9043. Prime factorization of 18086 in exponential form is:

18086 = 2¹ × 9043¹

Step-3: Factors of 18078

List of positive integer factors of 18078 that divides 18078 without a remainder.

1, 2, 3, 6, 23, 46, 69, 131, 138, 262, 393, 786, 3013, 6026, 9039

Step-4: Factors of 18086

List of positive integer factors of 18086 that divides 18078 without a remainder.

1, 2, 9043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18078 and 18086. The biggest common factor number is the GCF number.
So the greatest common factor 18078 and 18086 is 2.

Also check out the Least Common Multiple of 18078 and 18086