What is the Greatest Common Factor of 3660 and 3669?

Greatest common factor (GCF) of 3660 and 3669 is 3.

GCF(3660,3669) = 3

We will now calculate the prime factors of 3660 and 3669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3660 and 3669.

How to find the GCF of 3660 and 3669?

We will first find the prime factorization of 3660 and 3669. After we will calculate the factors of 3660 and 3669 and find the biggest common factor number .

Step-1: Prime Factorization of 3660

Prime factors of 3660 are 2, 3, 5, 61. Prime factorization of 3660 in exponential form is:

3660 = 2² × 3¹ × 5¹ × 61¹

Step-2: Prime Factorization of 3669

Prime factors of 3669 are 3, 1223. Prime factorization of 3669 in exponential form is:

3669 = 3¹ × 1223¹

Step-3: Factors of 3660

List of positive integer factors of 3660 that divides 3660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830

Step-4: Factors of 3669

List of positive integer factors of 3669 that divides 3660 without a remainder.

1, 3, 1223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3660 and 3669. The biggest common factor number is the GCF number.
So the greatest common factor 3660 and 3669 is 3.

Also check out the Least Common Multiple of 3660 and 3669