What is the Greatest Common Factor of 3589 and 3605?

Greatest common factor (GCF) of 3589 and 3605 is 1.

GCF(3589,3605) = 1

We will now calculate the prime factors of 3589 and 3605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3589 and 3605.

How to find the GCF of 3589 and 3605?

We will first find the prime factorization of 3589 and 3605. After we will calculate the factors of 3589 and 3605 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 3605

Prime factors of 3605 are 5, 7, 103. Prime factorization of 3605 in exponential form is:

3605 = 5¹ × 7¹ × 103¹

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 3605

List of positive integer factors of 3605 that divides 3589 without a remainder.

1, 5, 7, 35, 103, 515, 721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3589 and 3605. The biggest common factor number is the GCF number.
So the greatest common factor 3589 and 3605 is 1.

Also check out the Least Common Multiple of 3589 and 3605