What is the Greatest Common Factor of 3687 and 3699?

Greatest common factor (GCF) of 3687 and 3699 is 3.

GCF(3687,3699) = 3

We will now calculate the prime factors of 3687 and 3699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3687 and 3699.

How to find the GCF of 3687 and 3699?

We will first find the prime factorization of 3687 and 3699. After we will calculate the factors of 3687 and 3699 and find the biggest common factor number .

Step-1: Prime Factorization of 3687

Prime factors of 3687 are 3, 1229. Prime factorization of 3687 in exponential form is:

3687 = 3¹ × 1229¹

Step-2: Prime Factorization of 3699

Prime factors of 3699 are 3, 137. Prime factorization of 3699 in exponential form is:

3699 = 3³ × 137¹

Step-3: Factors of 3687

List of positive integer factors of 3687 that divides 3687 without a remainder.

1, 3, 1229

Step-4: Factors of 3699

List of positive integer factors of 3699 that divides 3687 without a remainder.

1, 3, 9, 27, 137, 411, 1233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3687 and 3699. The biggest common factor number is the GCF number.
So the greatest common factor 3687 and 3699 is 3.

Also check out the Least Common Multiple of 3687 and 3699