What is the Greatest Common Factor of 39189 and 39201?

Greatest common factor (GCF) of 39189 and 39201 is 3.

GCF(39189,39201) = 3

We will now calculate the prime factors of 39189 and 39201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39189 and 39201.

How to find the GCF of 39189 and 39201?

We will first find the prime factorization of 39189 and 39201. After we will calculate the factors of 39189 and 39201 and find the biggest common factor number .

Step-1: Prime Factorization of 39189

Prime factors of 39189 are 3, 13063. Prime factorization of 39189 in exponential form is:

39189 = 3¹ × 13063¹

Step-2: 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-3: Factors of 39189

List of positive integer factors of 39189 that divides 39189 without a remainder.

1, 3, 13063

Step-4: Factors of 39201

List of positive integer factors of 39201 that divides 39189 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39189 and 39201. The biggest common factor number is the GCF number.
So the greatest common factor 39189 and 39201 is 3.

Also check out the Least Common Multiple of 39189 and 39201