What is the Greatest Common Factor of 54084 and 54099?

Greatest common factor (GCF) of 54084 and 54099 is 3.

GCF(54084,54099) = 3

We will now calculate the prime factors of 54084 and 54099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54084 and 54099.

How to find the GCF of 54084 and 54099?

We will first find the prime factorization of 54084 and 54099. After we will calculate the factors of 54084 and 54099 and find the biggest common factor number .

Step-1: Prime Factorization of 54084

Prime factors of 54084 are 2, 3, 4507. Prime factorization of 54084 in exponential form is:

54084 = 2² × 3¹ × 4507¹

Step-2: Prime Factorization of 54099

Prime factors of 54099 are 3, 6011. Prime factorization of 54099 in exponential form is:

54099 = 3² × 6011¹

Step-3: Factors of 54084

List of positive integer factors of 54084 that divides 54084 without a remainder.

1, 2, 3, 4, 6, 12, 4507, 9014, 13521, 18028, 27042

Step-4: Factors of 54099

List of positive integer factors of 54099 that divides 54084 without a remainder.

1, 3, 9, 6011, 18033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54084 and 54099. The biggest common factor number is the GCF number.
So the greatest common factor 54084 and 54099 is 3.

Also check out the Least Common Multiple of 54084 and 54099