What is the Greatest Common Factor of 3689 and 3703?

Greatest common factor (GCF) of 3689 and 3703 is 7.

GCF(3689,3703) = 7

We will now calculate the prime factors of 3689 and 3703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3689 and 3703.

How to find the GCF of 3689 and 3703?

We will first find the prime factorization of 3689 and 3703. After we will calculate the factors of 3689 and 3703 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 3703

Prime factors of 3703 are 7, 23. Prime factorization of 3703 in exponential form is:

3703 = 7¹ × 23²

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 3703

List of positive integer factors of 3703 that divides 3689 without a remainder.

1, 7, 23, 161, 529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3689 and 3703. The biggest common factor number is the GCF number.
So the greatest common factor 3689 and 3703 is 7.

Also check out the Least Common Multiple of 3689 and 3703