What is the Greatest Common Factor of 39201 and 39209?

Greatest common factor (GCF) of 39201 and 39209 is 1.

GCF(39201,39209) = 1

We will now calculate the prime factors of 39201 and 39209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39201 and 39209.

How to find the GCF of 39201 and 39209?

We will first find the prime factorization of 39201 and 39209. After we will calculate the factors of 39201 and 39209 and find the biggest common factor number .

Step-1: Prime Factorization of 39201

Prime factors of 39201 are 3, 73, 179. Prime factorization of 39201 in exponential form is:

39201 = 3¹ × 73¹ × 179¹

Step-2: Prime Factorization of 39209

Prime factors of 39209 are 39209. Prime factorization of 39209 in exponential form is:

39209 = 39209¹

Step-3: Factors of 39201

List of positive integer factors of 39201 that divides 39201 without a remainder.

1, 3, 73, 179, 219, 537, 13067

Step-4: Factors of 39209

List of positive integer factors of 39209 that divides 39201 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39201 and 39209. The biggest common factor number is the GCF number.
So the greatest common factor 39201 and 39209 is 1.

Also check out the Least Common Multiple of 39201 and 39209