What is the Greatest Common Factor of 6654 and 6660?

Greatest common factor (GCF) of 6654 and 6660 is 6.

GCF(6654,6660) = 6

We will now calculate the prime factors of 6654 and 6660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6654 and 6660.

How to find the GCF of 6654 and 6660?

We will first find the prime factorization of 6654 and 6660. After we will calculate the factors of 6654 and 6660 and find the biggest common factor number .

Step-1: Prime Factorization of 6654

Prime factors of 6654 are 2, 3, 1109. Prime factorization of 6654 in exponential form is:

6654 = 2¹ × 3¹ × 1109¹

Step-2: Prime Factorization of 6660

Prime factors of 6660 are 2, 3, 5, 37. Prime factorization of 6660 in exponential form is:

6660 = 2² × 3² × 5¹ × 37¹

Step-3: Factors of 6654

List of positive integer factors of 6654 that divides 6654 without a remainder.

1, 2, 3, 6, 1109, 2218, 3327

Step-4: Factors of 6660

List of positive integer factors of 6660 that divides 6654 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6654 and 6660. The biggest common factor number is the GCF number.
So the greatest common factor 6654 and 6660 is 6.

Also check out the Least Common Multiple of 6654 and 6660