What is the Greatest Common Factor of 6651 and 6666?

Greatest common factor (GCF) of 6651 and 6666 is 3.

GCF(6651,6666) = 3

We will now calculate the prime factors of 6651 and 6666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6651 and 6666.

How to find the GCF of 6651 and 6666?

We will first find the prime factorization of 6651 and 6666. After we will calculate the factors of 6651 and 6666 and find the biggest common factor number .

Step-1: Prime Factorization of 6651

Prime factors of 6651 are 3, 739. Prime factorization of 6651 in exponential form is:

6651 = 3² × 739¹

Step-2: Prime Factorization of 6666

Prime factors of 6666 are 2, 3, 11, 101. Prime factorization of 6666 in exponential form is:

6666 = 2¹ × 3¹ × 11¹ × 101¹

Step-3: Factors of 6651

List of positive integer factors of 6651 that divides 6651 without a remainder.

1, 3, 9, 739, 2217

Step-4: Factors of 6666

List of positive integer factors of 6666 that divides 6651 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 101, 202, 303, 606, 1111, 2222, 3333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6651 and 6666. The biggest common factor number is the GCF number.
So the greatest common factor 6651 and 6666 is 3.

Also check out the Least Common Multiple of 6651 and 6666