What is the Greatest Common Factor of 6666 and 6677?

Greatest common factor (GCF) of 6666 and 6677 is 11.

GCF(6666,6677) = 11

We will now calculate the prime factors of 6666 and 6677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6666 and 6677.

How to find the GCF of 6666 and 6677?

We will first find the prime factorization of 6666 and 6677. After we will calculate the factors of 6666 and 6677 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6677

Prime factors of 6677 are 11, 607. Prime factorization of 6677 in exponential form is:

6677 = 11¹ × 607¹

Step-3: Factors of 6666

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

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

Step-4: Factors of 6677

List of positive integer factors of 6677 that divides 6666 without a remainder.

1, 11, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6666 and 6677. The biggest common factor number is the GCF number.
So the greatest common factor 6666 and 6677 is 11.

Also check out the Least Common Multiple of 6666 and 6677