What is the Greatest Common Factor of 3689 and 3697?

Greatest common factor (GCF) of 3689 and 3697 is 1.

GCF(3689,3697) = 1

We will now calculate the prime factors of 3689 and 3697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3689 and 3697.

How to find the GCF of 3689 and 3697?

We will first find the prime factorization of 3689 and 3697. After we will calculate the factors of 3689 and 3697 and find the biggest common factor number .

Step-1: Prime Factorization of 3689

Prime factors of 3689 are 7, 17, 31. Prime factorization of 3689 in exponential form is:

3689 = 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 3697

Prime factors of 3697 are 3697. Prime factorization of 3697 in exponential form is:

3697 = 3697¹

Step-3: Factors of 3689

List of positive integer factors of 3689 that divides 3689 without a remainder.

1, 7, 17, 31, 119, 217, 527

Step-4: Factors of 3697

List of positive integer factors of 3697 that divides 3689 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3689 and 3697. The biggest common factor number is the GCF number.
So the greatest common factor 3689 and 3697 is 1.

Also check out the Least Common Multiple of 3689 and 3697