What is the Greatest Common Factor of 54201 and 54209?

Greatest common factor (GCF) of 54201 and 54209 is 1.

GCF(54201,54209) = 1

We will now calculate the prime factors of 54201 and 54209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54201 and 54209.

How to find the GCF of 54201 and 54209?

We will first find the prime factorization of 54201 and 54209. After we will calculate the factors of 54201 and 54209 and find the biggest common factor number .

Step-1: Prime Factorization of 54201

Prime factors of 54201 are 3, 7, 29, 89. Prime factorization of 54201 in exponential form is:

54201 = 3¹ × 7¹ × 29¹ × 89¹

Step-2: Prime Factorization of 54209

Prime factors of 54209 are 151, 359. Prime factorization of 54209 in exponential form is:

54209 = 151¹ × 359¹

Step-3: Factors of 54201

List of positive integer factors of 54201 that divides 54201 without a remainder.

1, 3, 7, 21, 29, 87, 89, 203, 267, 609, 623, 1869, 2581, 7743, 18067

Step-4: Factors of 54209

List of positive integer factors of 54209 that divides 54201 without a remainder.

1, 151, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54201 and 54209. The biggest common factor number is the GCF number.
So the greatest common factor 54201 and 54209 is 1.

Also check out the Least Common Multiple of 54201 and 54209