What is the Greatest Common Factor of 54018 and 54034?

Greatest common factor (GCF) of 54018 and 54034 is 2.

GCF(54018,54034) = 2

We will now calculate the prime factors of 54018 and 54034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54018 and 54034.

How to find the GCF of 54018 and 54034?

We will first find the prime factorization of 54018 and 54034. After we will calculate the factors of 54018 and 54034 and find the biggest common factor number .

Step-1: Prime Factorization of 54018

Prime factors of 54018 are 2, 3, 3001. Prime factorization of 54018 in exponential form is:

54018 = 2¹ × 3² × 3001¹

Step-2: Prime Factorization of 54034

Prime factors of 54034 are 2, 27017. Prime factorization of 54034 in exponential form is:

54034 = 2¹ × 27017¹

Step-3: Factors of 54018

List of positive integer factors of 54018 that divides 54018 without a remainder.

1, 2, 3, 6, 9, 18, 3001, 6002, 9003, 18006, 27009

Step-4: Factors of 54034

List of positive integer factors of 54034 that divides 54018 without a remainder.

1, 2, 27017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54018 and 54034. The biggest common factor number is the GCF number.
So the greatest common factor 54018 and 54034 is 2.

Also check out the Least Common Multiple of 54018 and 54034