What is the Greatest Common Factor of 3589 and 3608?

Greatest common factor (GCF) of 3589 and 3608 is 1.

GCF(3589,3608) = 1

We will now calculate the prime factors of 3589 and 3608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3589 and 3608.

How to find the GCF of 3589 and 3608?

We will first find the prime factorization of 3589 and 3608. After we will calculate the factors of 3589 and 3608 and find the biggest common factor number .

Step-1: Prime Factorization of 3589

Prime factors of 3589 are 37, 97. Prime factorization of 3589 in exponential form is:

3589 = 37¹ × 97¹

Step-2: Prime Factorization of 3608

Prime factors of 3608 are 2, 11, 41. Prime factorization of 3608 in exponential form is:

3608 = 2³ × 11¹ × 41¹

Step-3: Factors of 3589

List of positive integer factors of 3589 that divides 3589 without a remainder.

1, 37, 97

Step-4: Factors of 3608

List of positive integer factors of 3608 that divides 3589 without a remainder.

1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3589 and 3608. The biggest common factor number is the GCF number.
So the greatest common factor 3589 and 3608 is 1.

Also check out the Least Common Multiple of 3589 and 3608