What is the Greatest Common Factor of 39589 and 39609?

Greatest common factor (GCF) of 39589 and 39609 is 1.

GCF(39589,39609) = 1

We will now calculate the prime factors of 39589 and 39609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39589 and 39609.

How to find the GCF of 39589 and 39609?

We will first find the prime factorization of 39589 and 39609. After we will calculate the factors of 39589 and 39609 and find the biggest common factor number .

Step-1: Prime Factorization of 39589

Prime factors of 39589 are 11, 59, 61. Prime factorization of 39589 in exponential form is:

39589 = 11¹ × 59¹ × 61¹

Step-2: Prime Factorization of 39609

Prime factors of 39609 are 3, 163. Prime factorization of 39609 in exponential form is:

39609 = 3⁵ × 163¹

Step-3: Factors of 39589

List of positive integer factors of 39589 that divides 39589 without a remainder.

1, 11, 59, 61, 649, 671, 3599

Step-4: Factors of 39609

List of positive integer factors of 39609 that divides 39589 without a remainder.

1, 3, 9, 27, 81, 163, 243, 489, 1467, 4401, 13203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39589 and 39609. The biggest common factor number is the GCF number.
So the greatest common factor 39589 and 39609 is 1.

Also check out the Least Common Multiple of 39589 and 39609