What is the Greatest Common Factor of 6600 and 6618?

Greatest common factor (GCF) of 6600 and 6618 is 6.

GCF(6600,6618) = 6

We will now calculate the prime factors of 6600 and 6618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6600 and 6618.

How to find the GCF of 6600 and 6618?

We will first find the prime factorization of 6600 and 6618. After we will calculate the factors of 6600 and 6618 and find the biggest common factor number .

Step-1: Prime Factorization of 6600

Prime factors of 6600 are 2, 3, 5, 11. Prime factorization of 6600 in exponential form is:

6600 = 2³ × 3¹ × 5² × 11¹

Step-2: Prime Factorization of 6618

Prime factors of 6618 are 2, 3, 1103. Prime factorization of 6618 in exponential form is:

6618 = 2¹ × 3¹ × 1103¹

Step-3: Factors of 6600

List of positive integer factors of 6600 that divides 6600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300

Step-4: Factors of 6618

List of positive integer factors of 6618 that divides 6600 without a remainder.

1, 2, 3, 6, 1103, 2206, 3309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6600 and 6618. The biggest common factor number is the GCF number.
So the greatest common factor 6600 and 6618 is 6.

Also check out the Least Common Multiple of 6600 and 6618