What is the Greatest Common Factor of 3689 and 3708?

Greatest common factor (GCF) of 3689 and 3708 is 1.

GCF(3689,3708) = 1

We will now calculate the prime factors of 3689 and 3708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3689 and 3708.

How to find the GCF of 3689 and 3708?

We will first find the prime factorization of 3689 and 3708. After we will calculate the factors of 3689 and 3708 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 3708

Prime factors of 3708 are 2, 3, 103. Prime factorization of 3708 in exponential form is:

3708 = 2² × 3² × 103¹

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 3708

List of positive integer factors of 3708 that divides 3689 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3689 and 3708. The biggest common factor number is the GCF number.
So the greatest common factor 3689 and 3708 is 1.

Also check out the Least Common Multiple of 3689 and 3708