What is the Greatest Common Factor of 3684 and 3698?

Greatest common factor (GCF) of 3684 and 3698 is 2.

GCF(3684,3698) = 2

We will now calculate the prime factors of 3684 and 3698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3684 and 3698.

How to find the GCF of 3684 and 3698?

We will first find the prime factorization of 3684 and 3698. After we will calculate the factors of 3684 and 3698 and find the biggest common factor number .

Step-1: Prime Factorization of 3684

Prime factors of 3684 are 2, 3, 307. Prime factorization of 3684 in exponential form is:

3684 = 2² × 3¹ × 307¹

Step-2: Prime Factorization of 3698

Prime factors of 3698 are 2, 43. Prime factorization of 3698 in exponential form is:

3698 = 2¹ × 43²

Step-3: Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842

Step-4: Factors of 3698

List of positive integer factors of 3698 that divides 3684 without a remainder.

1, 2, 43, 86, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3684 and 3698. The biggest common factor number is the GCF number.
So the greatest common factor 3684 and 3698 is 2.

Also check out the Least Common Multiple of 3684 and 3698