What is the Greatest Common Factor of 38589 and 38609?

Greatest common factor (GCF) of 38589 and 38609 is 1.

GCF(38589,38609) = 1

We will now calculate the prime factors of 38589 and 38609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38589 and 38609.

How to find the GCF of 38589 and 38609?

We will first find the prime factorization of 38589 and 38609. After we will calculate the factors of 38589 and 38609 and find the biggest common factor number .

Step-1: Prime Factorization of 38589

Prime factors of 38589 are 3, 19, 677. Prime factorization of 38589 in exponential form is:

38589 = 3¹ × 19¹ × 677¹

Step-2: Prime Factorization of 38609

Prime factors of 38609 are 38609. Prime factorization of 38609 in exponential form is:

38609 = 38609¹

Step-3: Factors of 38589

List of positive integer factors of 38589 that divides 38589 without a remainder.

1, 3, 19, 57, 677, 2031, 12863

Step-4: Factors of 38609

List of positive integer factors of 38609 that divides 38589 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38589 and 38609. The biggest common factor number is the GCF number.
So the greatest common factor 38589 and 38609 is 1.

Also check out the Least Common Multiple of 38589 and 38609