What is the Greatest Common Factor of 54189 and 54206?

Greatest common factor (GCF) of 54189 and 54206 is 1.

GCF(54189,54206) = 1

We will now calculate the prime factors of 54189 and 54206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54189 and 54206.

How to find the GCF of 54189 and 54206?

We will first find the prime factorization of 54189 and 54206. After we will calculate the factors of 54189 and 54206 and find the biggest common factor number .

Step-1: Prime Factorization of 54189

Prime factors of 54189 are 3, 223. Prime factorization of 54189 in exponential form is:

54189 = 3⁵ × 223¹

Step-2: Prime Factorization of 54206

Prime factors of 54206 are 2, 27103. Prime factorization of 54206 in exponential form is:

54206 = 2¹ × 27103¹

Step-3: Factors of 54189

List of positive integer factors of 54189 that divides 54189 without a remainder.

1, 3, 9, 27, 81, 223, 243, 669, 2007, 6021, 18063

Step-4: Factors of 54206

List of positive integer factors of 54206 that divides 54189 without a remainder.

1, 2, 27103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54189 and 54206. The biggest common factor number is the GCF number.
So the greatest common factor 54189 and 54206 is 1.

Also check out the Least Common Multiple of 54189 and 54206